complete darc tutorial
This commit is contained in:
@@ -2,24 +2,23 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 3,
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"execution_count": 36,
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"outputs": [],
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"source": [
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"from src.key_generation import generate_keys\n",
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"from src.models import SubstitutionKey, OuterKey, Mask\n",
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"from src.models import SubstitutionKey, OuterKey, Mask, ServerKeys, MutualKeys, ClientKeys\n",
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"from src.server_darc import resolve_message"
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],
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"metadata": {
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"collapsed": false,
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"ExecuteTime": {
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"end_time": "2024-07-03T15:44:47.863976Z",
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"start_time": "2024-07-04T18:05:07.542908Z"
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}
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}
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"execution_count": 37,
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"outputs": [],
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"source": [
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"def create_random_message(message_len, height):\n",
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@@ -29,14 +28,14 @@
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"metadata": {
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"end_time": "2024-07-04T18:05:07.552147Z",
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}
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}
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"execution_count": 38,
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"outputs": [],
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"source": [
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"height = 70\n",
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@@ -47,31 +46,51 @@
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"metadata": {
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"collapsed": false,
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"ExecuteTime": {
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"end_time": "2024-07-03T15:44:47.864191Z",
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"start_time": "2024-07-03T15:44:47.834823Z"
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"end_time": "2024-07-04T18:05:07.552308Z",
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"start_time": "2024-07-04T18:05:07.549140Z"
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}
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}
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"execution_count": 39,
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"outputs": [],
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"source": [
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"server_keys, mutual_keys, client_keys = generate_keys(height, width)\n",
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"server_substitution_data = SubstitutionKey.init_matrix(width, height)\n",
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"client_substitution_data = SubstitutionKey.init_matrix(width, height)\n",
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"mutual_substitution_data = SubstitutionKey.init_matrix(width, height)\n",
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"\n",
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"server_substitution_medium = SubstitutionKey.init_matrix(width, height)\n",
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"client_substitution_medium = SubstitutionKey.init_matrix(width, height)\n",
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"mutual_substitution_medium = SubstitutionKey.init_matrix(width, height)\n",
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"\n",
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"server_keys = ServerKeys.random_init(height, width)\n",
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"mutual_keys = MutualKeys.random_init(height, width)\n",
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"client_keys = ClientKeys.random_init(height, width)\n",
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"\n",
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"server_keys.persistent.data.alpha_key = server_substitution_data ^ mutual_substitution_data\n",
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"server_keys.persistent.medium.alpha_key = server_substitution_medium ^ mutual_substitution_medium\n",
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"\n",
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"mutual_keys.persistent.data.alpha_key = mutual_substitution_data ^ client_substitution_data\n",
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"mutual_keys.persistent.medium.alpha_key = mutual_substitution_medium ^ client_substitution_medium\n",
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"\n",
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"client_keys.persistent.data.alpha_key = client_substitution_data\n",
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"client_keys.persistent.medium.alpha_key = client_substitution_medium\n",
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"\n",
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"alphabet = SubstitutionKey.init_matrix(width, height, 255)\n",
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"medium = SubstitutionKey(matrix=[[0 for _ in range(width)] for _ in range(height)])"
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],
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"metadata": {
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"collapsed": false,
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"ExecuteTime": {
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"end_time": "2024-07-03T15:44:47.870926Z",
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"start_time": "2024-07-03T15:44:47.838679Z"
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"end_time": "2024-07-04T18:05:07.580066Z",
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"start_time": "2024-07-04T18:05:07.553448Z"
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}
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}
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"execution_count": 40,
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"outputs": [],
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"source": [
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"sdi1 = server_keys.persistent.data.inner_key_1 << server_keys.ephemeral.data.inner_key_1\n",
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@@ -115,14 +134,14 @@
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"metadata": {
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"collapsed": false,
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"ExecuteTime": {
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"end_time": "2024-07-03T15:44:47.913517Z",
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}
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}
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"execution_count": 41,
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"outputs": [],
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"source": [
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"cdo1_cdo2 = cdo1 << cdo2\n",
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@@ -133,14 +152,14 @@
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"metadata": {
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"collapsed": false,
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"ExecuteTime": {
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"end_time": "2024-07-03T15:44:47.913738Z",
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"start_time": "2024-07-03T15:44:47.873170Z"
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"end_time": "2024-07-04T18:05:07.593468Z",
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"start_time": "2024-07-04T18:05:07.590552Z"
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}
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}
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"execution_count": 42,
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"outputs": [],
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"source": [
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"m_func_1 = lambda x: (x < mdo1) << (mdi1 < mdo2)\n",
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@@ -152,42 +171,99 @@
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"metadata": {
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"collapsed": false,
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"ExecuteTime": {
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"end_time": "2024-07-03T15:44:47.913781Z",
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"start_time": "2024-07-03T15:44:47.875550Z"
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"start_time": "2024-07-04T18:05:07.593423Z"
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}
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}
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"execution_count": 43,
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"outputs": [],
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"source": [
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"medium_phase1 = medium ^ m_func_2(spma ^ sema)\n",
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"\n",
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"medium_phase1 = medium ^ m_func_2(spma ^ sema)"
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],
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"metadata": {
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||||
"collapsed": false,
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||||
"ExecuteTime": {
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}
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},
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{
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"cell_type": "code",
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"execution_count": 52,
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"outputs": [
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{
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"data": {
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"text/plain": "True"
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},
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"execution_count": 52,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"medium_phase2 = (\n",
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" (\n",
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" medium_phase1 ^\n",
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" m_func_2(cema ^ cpma ^ mpma)\n",
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" ) << (cmi1 < mmo3)\n",
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" ) < cmo1_cmo2\n",
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"\n",
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"medium_phase3 = (\n",
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" ((medium_phase2 < ~cmo1_cmo2) << (~cmi1 < mmo3)) ^\n",
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" m_func_2(cpma ^ cema ^ mema)\n",
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" ) << (mpmi2 < mmo3) < cmo1_cmo2\n",
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"\n"
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"medium_phase2 == (\n",
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" (\n",
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" (\n",
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" medium ^\n",
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" m_func_2(server_substitution_medium ^ sema ^ cema)\n",
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" ) << (cmi1 < mmo3)\n",
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" ) < cmo1_cmo2\n",
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")"
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],
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"metadata": {
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||||
"collapsed": false,
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"start_time": "2024-07-04T18:05:42.389787Z"
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}
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}
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"execution_count": 59,
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"outputs": [
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||||
{
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||||
"data": {
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||||
"text/plain": "True"
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||||
},
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||||
"execution_count": 59,
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||||
"metadata": {},
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||||
"output_type": "execute_result"
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||||
}
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],
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||||
"source": [
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"medium_phase3 = (\n",
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" ((medium_phase2 < ~cmo1_cmo2) << (~cmi1 < mmo3)) ^\n",
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" m_func_2(cpma ^ cema ^ mema)\n",
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" ) << (mpmi2 < mmo3) < cmo1_cmo2\n",
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"\n",
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"medium_phase3 == ((\n",
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" medium ^\n",
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" m_func_2(server_substitution_medium ^ sema ^ cpma ^ mema)\n",
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" ) << (mpmi2 < mmo3) < cmo1_cmo2\n",
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||||
")"
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||||
],
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||||
"metadata": {
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||||
"collapsed": false,
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"ExecuteTime": {
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"end_time": "2024-07-04T18:16:20.923343Z",
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}
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}
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},
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{
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||||
"cell_type": "code",
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||||
"execution_count": 46,
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||||
"outputs": [],
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||||
"source": [
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||||
"translated_alphabet = (\n",
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@@ -198,110 +274,174 @@
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"alphabet_phase1 = (\n",
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" s_func_1(alphabet) ^\n",
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" m_func_1(spda ^ seda)\n",
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")\n",
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"\n",
|
||||
")"
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||||
],
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||||
"metadata": {
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||||
"collapsed": false,
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}
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}
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},
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{
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"cell_type": "code",
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||||
"execution_count": 62,
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"outputs": [
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{
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"data": {
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"text/plain": "True"
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},
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"execution_count": 62,
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||||
"metadata": {},
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||||
"output_type": "execute_result"
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||||
}
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||||
],
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||||
"source": [
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"alphabet_phase2 = ((((\n",
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" alphabet_phase1 ^\n",
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" m_func_1(ceda ^ cpda ^ mpda)\n",
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" ) < ~mdo3)) << cdi1) < (mdo3 << cdo1 << cdo2)\n",
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"\n",
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"alphabet_phase2 == (\n",
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" ((((\n",
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" s_func_1(alphabet) ^\n",
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||||
" m_func_1(server_substitution_data ^ seda ^ ceda)\n",
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||||
" ) < ~mdo3)) << cdi1) < (mdo3 << cdo1 << cdo2)\n",
|
||||
")"
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||||
],
|
||||
"metadata": {
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||||
"collapsed": false,
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"ExecuteTime": {
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||||
"end_time": "2024-07-04T18:29:06.076785Z",
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"start_time": "2024-07-04T18:29:06.071174Z"
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}
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}
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},
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{
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"cell_type": "code",
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||||
"execution_count": 72,
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||||
"outputs": [
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{
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"data": {
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"text/plain": "True"
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},
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||||
"execution_count": 72,
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||||
"metadata": {},
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||||
"output_type": "execute_result"
|
||||
}
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||||
],
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||||
"source": [
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"alphabet_phase3 = (\n",
|
||||
" ((alphabet_phase2 < ~cdo1_cdo2) << (~cdi1 < mdo3)) ^\n",
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||||
" m_func_1(ceda ^ cpda ^ meda)\n",
|
||||
" ) << (mpdi2 < mdo3) < cdo1_cdo2\n",
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||||
"\n",
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||||
"\n",
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||||
"alphabet_phase3 = (\n",
|
||||
" alphabet_phase1 ^ m_func_1(mpda ^ meda)\n",
|
||||
") << (mpdi2 < mdo3) < cdo1_cdo2"
|
||||
"alphabet_phase3 == (\n",
|
||||
" (\n",
|
||||
" s_func_1(alphabet) ^\n",
|
||||
" m_func_1(server_substitution_data ^ seda ^ cpda ^ meda)\n",
|
||||
" ) << (mpdi2 < mdo3) < cdo1_cdo2\n",
|
||||
")"
|
||||
],
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
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||||
"end_time": "2024-07-03T15:44:47.917104Z",
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"start_time": "2024-07-03T15:44:47.899159Z"
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"end_time": "2024-07-04T18:40:21.743276Z",
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"start_time": "2024-07-04T18:40:21.739864Z"
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||||
}
|
||||
}
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 12,
|
||||
"execution_count": 47,
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"eof_msg_mask = Mask.init_matrix(width, height, message_len)\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"padded_input_sequence = OuterKey.init_matrix(height)\n",
|
||||
"padded_input_sequence.matrix = [message + padded_input_sequence.matrix[0][message_len:]]\n",
|
||||
"\n",
|
||||
"darc_message = (\n",
|
||||
" (\n",
|
||||
" (medium_phase3 < ~cmo1_cmo2) ^\n",
|
||||
" ((((alphabet_phase3 < ~cdo1_cdo2) < padded_input_sequence) ^ eof_msg_mask) << (mmi3 < nmmo6_nmmo4))\n",
|
||||
" ) < mmo4\n",
|
||||
" ) << (mmi4 < (mmo5 << ~mmo6))"
|
||||
"padded_input_sequence.matrix = [message + padded_input_sequence.matrix[0][message_len:]]"
|
||||
],
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
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||||
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}
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}
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},
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{
|
||||
"cell_type": "code",
|
||||
"execution_count": 13,
|
||||
"outputs": [],
|
||||
"execution_count": 75,
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": "True"
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||||
},
|
||||
"execution_count": 75,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"darc_message = ((\n",
|
||||
" (medium_phase3 < ~cmo1_cmo2) ^\n",
|
||||
" ((((alphabet_phase3 < ~cdo1_cdo2) < padded_input_sequence) ^ eof_msg_mask) << (mmi3 < nmmo6_nmmo4))\n",
|
||||
" ) << (mmi4 < (mmo5 << nmmo6_nmmo4))) < mmo4\n",
|
||||
"\n",
|
||||
"darc_message == (\n",
|
||||
" ((\n",
|
||||
" ((\n",
|
||||
" medium ^\n",
|
||||
" m_func_2(server_substitution_medium ^ sema ^ cpma ^ mema)\n",
|
||||
" ) << (mpmi2 < mmo3)) ^\n",
|
||||
" (((((\n",
|
||||
" s_func_1(alphabet) ^\n",
|
||||
" m_func_1(server_substitution_data ^ seda ^ cpda ^ meda)) << (mpdi2 < mdo3)\n",
|
||||
" ) < padded_input_sequence) ^ eof_msg_mask) << (mmi3 < nmmo6_nmmo4))\n",
|
||||
" ) << (mmi4 < (mmo5 << nmmo6_nmmo4))) < mmo4\n",
|
||||
")"
|
||||
],
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
|
||||
"end_time": "2024-07-04T18:46:10.473478Z",
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||||
"start_time": "2024-07-04T18:46:10.457255Z"
|
||||
}
|
||||
}
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 102,
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": "True"
|
||||
},
|
||||
"execution_count": 102,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"unwrapped_medium = (\n",
|
||||
" ((darc_message < ~mmo4) << ~(mmi4 < (mmo5 << nmmo6_nmmo4))) ^\n",
|
||||
" (((spma ^ sema ^ mpma ^ mema) < mmo1) << ((mmi1 < mmo2) << (mpmi2 < mmo3)))\n",
|
||||
" ) << (~mmi3 < nmmo6_nmmo4)"
|
||||
" (m_func_2(spma ^ sema ^ mpma ^ mema) << (mpmi2 < mmo3))\n",
|
||||
" ) << (~mmi3 < nmmo6_nmmo4)\n",
|
||||
"\n",
|
||||
"unwrapped_medium == ((translated_alphabet < padded_input_sequence) ^ eof_msg_mask)"
|
||||
],
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
|
||||
"end_time": "2024-07-03T15:44:47.917330Z",
|
||||
"start_time": "2024-07-03T15:44:47.911658Z"
|
||||
"end_time": "2024-07-04T19:21:34.911369Z",
|
||||
"start_time": "2024-07-04T19:21:34.908479Z"
|
||||
}
|
||||
}
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 14,
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"darc_message = ((\n",
|
||||
" (\n",
|
||||
" (medium_phase3 < ~cmo1_cmo2) ^\n",
|
||||
" ((((alphabet_phase3 < ~cdo1_cdo2) < padded_input_sequence) ^ eof_msg_mask) << (mmi3 < nmmo6_nmmo4))\n",
|
||||
" ) < mmo4\n",
|
||||
" ) << (mmi4 < (mmo5 << ~mmo6))) < ~mmo4\n",
|
||||
"\n",
|
||||
"darc_message = ((\n",
|
||||
" (\n",
|
||||
" (medium_phase3 < ~cmo1_cmo2) ^\n",
|
||||
" ((((alphabet_phase3 < ~cdo1_cdo2) < padded_input_sequence) ^ eof_msg_mask) << (mmi3 < nmmo6_nmmo4))\n",
|
||||
" )\n",
|
||||
" ) << (mmi4 < (mmo5 << ~mmo6 << ~mmo4)))\n",
|
||||
"\n",
|
||||
"unwrapped_medium = (\n",
|
||||
" (darc_message << ~(mmi4 < (mmo5 << nmmo6_nmmo4))) ^\n",
|
||||
" (((spma ^ sema ^ mpma ^ mema) < mmo1) << ((mmi1 < mmo2) << (mpmi2 < mmo3)))\n",
|
||||
" ) << (~mmi3 < nmmo6_nmmo4)\n"
|
||||
],
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
|
||||
"end_time": "2024-07-03T15:44:47.929257Z",
|
||||
"start_time": "2024-07-03T15:44:47.914223Z"
|
||||
}
|
||||
}
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 15,
|
||||
"execution_count": 49,
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"orignal_message = resolve_message(translated_alphabet, unwrapped_medium)"
|
||||
@@ -309,20 +449,20 @@
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
|
||||
"end_time": "2024-07-03T15:44:47.929422Z",
|
||||
"start_time": "2024-07-03T15:44:47.927326Z"
|
||||
"end_time": "2024-07-04T18:05:07.678472Z",
|
||||
"start_time": "2024-07-04T18:05:07.656814Z"
|
||||
}
|
||||
}
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 16,
|
||||
"execution_count": 50,
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": "True"
|
||||
},
|
||||
"execution_count": 16,
|
||||
"execution_count": 50,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
@@ -333,34 +473,8 @@
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
|
||||
"end_time": "2024-07-03T15:44:47.945605Z",
|
||||
"start_time": "2024-07-03T15:44:47.932864Z"
|
||||
}
|
||||
}
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 16,
|
||||
"outputs": [],
|
||||
"source": [],
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
|
||||
"end_time": "2024-07-03T15:44:47.945779Z",
|
||||
"start_time": "2024-07-03T15:44:47.935609Z"
|
||||
}
|
||||
}
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 16,
|
||||
"outputs": [],
|
||||
"source": [],
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"ExecuteTime": {
|
||||
"end_time": "2024-07-03T15:44:47.965022Z",
|
||||
"start_time": "2024-07-03T15:44:47.937832Z"
|
||||
"end_time": "2024-07-04T18:05:07.678731Z",
|
||||
"start_time": "2024-07-04T18:05:07.659154Z"
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
@@ -202,10 +202,15 @@ def merge_message(
|
||||
cmo1 = client_keys.persistent.medium.outer_key_1 << client_keys.ephemeral.medium.outer_key_1
|
||||
cmo2 = client_keys.persistent.medium.outer_key_2 << client_keys.ephemeral.medium.outer_key_2
|
||||
|
||||
darc_message = (
|
||||
cmo1_cmo2 = cmo1 << cmo2
|
||||
cdo1_cdo2 = cdo1 << cdo2
|
||||
nmmo6_nmmo4 = ~(mmo4 << mmo6)
|
||||
|
||||
darc_message = ((
|
||||
(
|
||||
(medium_phase3 < ~(cmo1 << cmo2)) ^
|
||||
(((alphabet_phase3 < (~(cdo1 << cdo2) << padded_input_sequence)) ^ eof_msg_mask) << (mmi3 < ~(mmo4 << mmo6)))
|
||||
) < mmo4
|
||||
) << (mmi4 < (mmo5 << ~mmo6))
|
||||
(medium_phase3 < ~cmo1_cmo2) ^
|
||||
((((alphabet_phase3 < ~cdo1_cdo2) < padded_input_sequence) ^ eof_msg_mask) << (
|
||||
mmi3 < nmmo6_nmmo4))
|
||||
)
|
||||
) << (mmi4 < (mmo5 << nmmo6_nmmo4))) < mmo4
|
||||
return darc_message
|
||||
|
||||
Reference in New Issue
Block a user