# Encipher and Decipher nKode ## Customer Policy - max nkode length: 10 - number of keys: 6 - properties per key: 9 - total number of properties: 54 ## Customer Cipher - property key: [12683 37623 46427 24232 53244 25444 34138 18278 52542 17394 45705 57706 22403 60684 20477 13672 47069 29025 8419 8211 36163 21756 45607 31517 44312 19522 17814 41879 18325 2622 43956 30841 59391 52171 51029 44917 28846 25756 24212 4239 11940 31284 58701 7692 31504 25629 20378 35504 45861 59860 4819 52686 62304 58952] - position key: [29587 60364 47856 53105 61491 65374 34021 4048 33167] --- ## User Cipher - property key: [14398 56125 29659 36184 61716 58844 42259 48679 36351 53209 63475 35295 1927 35139 48674 32220 3724 62784 11332 63262 61320 62990 59038 61659 31829 24135 49167 50519 23410 2470 22259 32544 30127 27527 18620 39840 105 31222 38444 37307 58991 39926 16285 42364 843 30922 30467 43324 13596 3432 28064 33665 35252 8733] - passcode key: [43892 51915 3968 29221 4 52573 20838 48052 39138 14671] - combined position key: [40967 35807 54041 52517 31281 56961 42242 11385 1018] - mask key: [57731 56088 1801 26915 40765 22438 9693 31860 17942 7993] ### Combined Postion Key ```mermaid block-beta columns 2 user_pos["user position key:\n[24890 2120 45550 47291 61945 28551 49488 49734 20771]"] customer_pos["customer position key:\n[29587 60364 47856 53105 61491 65374 34021 4048 33167]"] space:2 xor(("XOR")):2 user_pos --> xor customer_pos --> xor space:2 comb_pos["combined position key\n[40967 35807 54041 52517 31281 56961 42242 11385 1018]"]:2 xor --> comb_pos ``` ## User Keypad - keypad: - user passcode indices: [12, 4, 51, 33] ## nKode Cipher ### Passcode Hash ```mermaid block-beta columns 2 cprop["customer_property_key\n[12683 37623 46427 24232 53244 25444 34138 18278 52542 17394 45705 57706 22403 60684 20477 13672 47069 29025 8419 8211 36163 21756 45607 31517 44312 19522 17814 41879 18325 2622 43956 30841 59391 52171 51029 44917 28846 25756 24212 4239 11940 31284 58701 7692 31504 25629 20378 35504 45861 59860 4819 52686 62304 58952]"] uprop["user_property_key\n[14398 56125 29659 36184 61716 58844 42259 48679 36351 53209 63475 35295 1927 35139 48674 32220 3724 62784 11332 63262 61320 62990 59038 61659 31829 24135 49167 50519 23410 2470 22259 32544 30127 27527 18620 39840 105 31222 38444 37307 58991 39926 16285 42364 843 30922 30467 43324 13596 3432 28064 33665 35252 8733]"] space:2 xor1(("XOR")):2 cprop --> xor1 uprop --> xor1 space:2 prop["combined_property_key\n[32565 54767 5127 26787 61372 9024 10051 31192 36215 25953 63643 7907 34275 49131 65253 35224 52025 49525 36214 22719 57589 6411 46986 50058 38701 701 36150 6894 36770 58151 63226 62425 5898 2177 3529 29703 30896 41755 9016 47283 14611 18887 54104 55155 32367 2577 31449 39233 18953 7162 61412 6044 61623 4668]"] xor1 --> prop pass["user_passcode_indices\n[12, 4, 51, 33]"] space:2 sel(("select\nproperties")):2 pass --> sel prop --> sel space:2 passcode["user passcode properties:\n[34275 61372 6044 2177]"]:2 sel --> passcode space:2 pad["zero pad to\nmax nkode length: 10"]:2 passcode -->pad space:2 paddedpasscode["padded passcode:\n[34275 61372 6044 2177 0 0 0 0 0 0]"] pad --> paddedpasscode passkey["passcode key:\n[43892 51915 3968 29221 4 52573 20838 48052 39138 14671]"] space:2 xor2(("XOR")):2 passkey --> xor2 paddedpasscode --> xor2 space:2 cipheredpass["ciphered passcode:\n[11927 9591 6172 31396 4 52573 20838 48052 39138 14671]"]:2 xor2 --> cipheredpass space:2 hash(("hash")):2 cipheredpass --> hash space:2 cipheredhashed["hashed ciphered passcode:\n$2b$12$Jf48A5rmjkxb0II7CkuD8.Qg3GCuROgbS99pMbthC2gXt9szx9gmm"]:2 hash --> cipheredhashed ``` ### Mask Encipher ```mermaid block-beta columns 3 passcode_idx["passcode indices:\n[12, 4, 51, 33]"] comb_pos["combined position key:\n[40967 35807 54041 52517 31281 56961 42242 11385 1018]"] cust_pos["customer position key:\n[29587 60364 47856 53105 61491 65374 34021 4048 33167]"] space:3 propidx(["Get Position Idx:\nmap each to element mod props_per_key"]) passcode_idx-->propidx space:1 xor1(("XOR")) comb_pos --> xor1 cust_pos --> xor1 space:3 passcode_position_idx["passcode poition indices:\n[3, 4, 6, 6]"] propidx --> passcode_position_idx space:5 pad1(("Pad with\nrandom indices")) passcode_position_idx --> pad1 space:5 posidx["Padded Passcode Position Indices:\n[3, 4, 6, 6, 3, 3, 7, 5, 0, 8]"] pad1 --> posidx space:1 user_pos["user position key:\n[24890 2120 45550 47291 61945 28551 49488 49734 20771]"] xor1 --> user_pos space:4 sel(("select positions")) user_pos --> sel posidx --> sel space:5 passcode_pos["ordered user passcode positions:\n[47291 61945 49488 49488 47291 47291 49734 28551 24890 20771]"] sel --> passcode_pos mask_key["mask key\n[57731 56088 1801 26915 40765 22438 9693 31860 17942 7993]"] space:4 xor2(("XOR")) mask_key --> xor2 passcode_pos --> xor2 space:5 mask["enciphered mask:\n [22840 10977 50777 43123 10118 61213 59291 5107 10028 19994]"] xor2 --> mask ``` ### Validate nKode ```mermaid block-beta columns 3 selected_keys["selected keys:\n[1, 0, 5, 0]"] login_keypad["login keypad:\nKey 0: [45 46 29 48 4 50 33 16 17] Key 1: [18 1 20 12 49 5 15 34 44] Key 2: [27 10 38 3 31 14 24 7 26] Key 3: [ 0 37 11 39 22 23 42 52 8] Key 4: [36 19 2 21 40 32 6 25 35] Key 5: [ 9 28 47 30 13 41 51 43 53] "] space:4 selectkeys(("select keys")) mask["enciphered mask:\n [22840 10977 50777 43123 10118 61213 59291 5107 10028 19994]"] mask_key["mask key:\n[57731 56088 1801 26915 40765 22438 9693 31860 17942 7993]"] space:2 xor1(("XOR")) mask --> xor1 mask_key --> xor1 selected_keys --> selectkeys login_keypad --> selectkeys space:3 ordered_keys["ordered keys:\n[[18 1 20 12 49 5 15 34 44] [45 46 29 48 4 50 33 16 17] [ 9 28 47 30 13 41 51 43 53] [45 46 29 48 4 50 33 16 17]]"] user_position_key["user position key:\n[24890 2120 45550 47291 61945 28551 49488 49734 20771]"] passcode_pos["ordered user passcode positions:\n[47291 61945 49488 49488 47291 47291 49734 28551 24890 20771]"] selectkeys --> ordered_keys xor1 --> passcode_pos space:8 get_passcode_idxs(("recover passcode\nposition indices")) user_position_key --> get_passcode_idxs passcode_pos --> get_passcode_idxs space:8 passcode_pos_idxs["padded passcode position indices:\n[3, 4, 6, 6, 3, 3, 7, 5, 0, 8]"] get_passcode_idxs --> passcode_pos_idxs space:3 get_presumed_idxs(("recover passcode\nproperty indices")) ordered_keys --> get_presumed_idxs passcode_pos_idxs --> get_presumed_idxs space:5 passcode_prop_idxs["presumed passcode property indices:\n[12, 4, 51, 33]"] prop["combined_property_key\n[32565 54767 5127 26787 61372 9024 10051 31192 36215 25953 63643 7907 34275 49131 65253 35224 52025 49525 36214 22719 57589 6411 46986 50058 38701 701 36150 6894 36770 58151 63226 62425 5898 2177 3529 29703 30896 41755 9016 47283 14611 18887 54104 55155 32367 2577 31449 39233 18953 7162 61412 6044 61623 4668]"] cipheredhashed["hashed ciphered passcode:\n$2b$12$Jf48A5rmjkxb0II7CkuD8.Qg3GCuROgbS99pMbthC2gXt9szx9gmm"] get_presumed_idxs --> passcode_prop_idxs space:3 sel(("select\nproperties")) passcode_prop_idxs --> sel prop --> sel space:5 passcode_prop["presumed passcode properties:\n[34275 61372 6044 2177]"] sel --> passcode_prop space:5 cipher(("encipher")) passcode_prop --> cipher space:5 cipheredpass["ciphered passcode:\n[11927 9591 6172 31396 4 52573 20838 48052 39138 14671]"] cipher --> cipheredpass space:7 comp{"compare"} cipheredpass --> comp cipheredhashed --> comp space:5 suc(("success")) comp --"Equal"--> suc ``` ### Renew nKode nKode renewal is a three step process: 1. Renew Customer Keys 2. Intermediate User Keys 3. Renew User Keys on Login ```mermaid flowchart subgraph Renew Customer Keys old_prop["`old customer property key:
[18187 3794 26588 58875 7848 50844 33360 51199 136 43704 3944 38716 33380 13992 16583 62532 50613 13365 41266 44961 3965 61189 20756 13137 60280 23802 19769 57273 54480 60033 40969 36089 25253 25350 17781 61351 30937 56045 46356 10504 57212 53809 60613 29199 32036 29403 3546 12413 32533 5778 33348 37917 30979 12321]`"] new_prop["`new customer property key:
[12683 37623 46427 24232 53244 25444 34138 18278 52542 17394 45705 57706 22403 60684 20477 13672 47069 29025 8419 8211 36163 21756 45607 31517 44312 19522 17814 41879 18325 2622 43956 30841 59391 52171 51029 44917 28846 25756 24212 4239 11940 31284 58701 7692 31504 25629 20378 35504 45861 59860 4819 52686 62304 58952]`"] old_pos["`old customer position key:
[49469 33687 25335 30110 35784 45318 25682 60991 21209]`"] new_pos["`new customer position key:
[29587 60364 47856 53105 61491 65374 34021 4048 33167]`"] xor1(("XOR")) xor2(("XOR")) xor_prop["`xor property key:
[30336 39973 53895 47955 53588 42488 1802 32921 52662 59722 48609 30294 54759 56228 3898 49452 29288 17748 33233 36786 33342 48121 58163 18508 18016 4280 2223 31790 37701 57535 3005 62592 34138 43213 33312 16594 2167 48753 60288 14727 61912 43013 2440 27651 1588 5830 16960 47821 52272 65350 37015 22995 35427 54889]`"] xor_pos["`xor position key:
[45742 26715 55303 47855 31739 20056 57527 57839 54102]`"] old_prop --> xor1 new_prop --> xor1 xor1 --> xor_prop old_pos --> xor2 new_pos --> xor2 xor2 --> xor_pos end subgraph Intermediate User Keys users@{shape: procs, label: "users"} users --> eachuser subgraph eachuser [for each user] subgraph old user keys old_user_pos["`combined position key:
[24890 2120 45550 47291 61945 28551 49488 49734 20771]`"] old_user_prop["`property key:
[14398 56125 29659 36184 61716 58844 42259 48679 36351 53209 63475 35295 1927 35139 48674 32220 3724 62784 11332 63262 61320 62990 59038 61659 31829 24135 49167 50519 23410 2470 22259 32544 30127 27527 18620 39840 105 31222 38444 37307 58991 39926 16285 42364 843 30922 30467 43324 13596 3432 28064 33665 35252 8733]`"] old_renew["renew: False"] end xor3(("XOR")) xor4(("XOR")) old_user_pos --> xor3 xor_pos --> xor3 xor3 --> inter_user_pos old_user_prop --> xor4 xor_prop --> xor4 xor4 --> inter_user_prop subgraph inter_user[intermediate user keys] inter_user_pos["`combined position key:
[ 4777 58244 2846 30666 458 37081 17845 52630 53420]`"] inter_user_prop["`property key:
[20158 18200 41308 13835 8256 16420 41497 16062 16457 9875 18962 65417 53856 21223 45336 48368 31972 45076 44437 30892 28086 19959 1453 47255 14901 20223 51360 47481 51255 59673 23886 35744 61685 49994 51868 56178 2078 51079 32172 43068 6071 13299 13845 51583 1407 28172 13635 5105 63788 61998 64823 55890 983 62580]`"] inter_renew["renew: True"] end end end subgraph Renew User Keys on Login login["First login post renew"] inter_user --> login subgraph new_user [New User Keys] new_user_pos["`combined position key:
[37567 32382 36425 6535 11819 18071 35301 38878 29144]`"] new_user_prop["`property key:
[63204 21530 24393 63295 52024 46102 24361 23381 41968 3713 26133 17989 14193 46059 12280 45683 35436 9340 17577 37219 15797 39388 52148 29719 48300 18038 25938 62757 21612 28454 23892 12945 18057 62761 37107 25062 27001 30212 20943 35287 60202 25046 29690 64376 57055 1554 42998 36674 45138 58609 25837 59944 8395 52185]`"] new_renew["renew: False"] end login --> new_user end ```