document alphabet phase 1-3. clean code

README.md

@@ -0,0 +1,40 @@
+# DARC
+
+### translate data 
+```
+alpha_phase_1 = si1_mo3(so1[alphabet]) ^ mi1_mo2(mo1[s_a ^ m_a ^ se_a])
+```
+
+### receive alphabet
+recall: 
+- `server_persistent_key.alpha = s_a ^ m_a`
+- `mutual_persistent_key.alpha = m_a ^ c_a`
+- `client_persistent_key.alpha = c_a`
+```
+result = alpha_phase_1 ^ mi1_mo2(mo1[ce_a ^ c_a ^ m_a ^ c_a])
+result = alpha_phase_1 ^ mi1_mo2(mo1[ce_a ^ m_a]) # c_a cancels
+result = si1_mo3(so1[alphabet]) ^ mi1_mo2(mo1[s_a ^ m_a ^ se_a]) ^ mi1_mo2(mo1[ce_a ^ m_a]) # expand alpha phase 1
+result = si1_mo3(so1[alphabet]) ^ mi1_mo2(mo1[s_a ^ se_a ^ ce_a]) # client_ephemeral_alpha added and m_a cancels
+expr1 = result
+
+alpha_phase_2 = mo3_co1_co2[ci1(nmo3[expr1])]
+```
+
+### transmit alphabet
+
+```
+result = nceil_ncpi1_mpi2_mo3_co1_co2(alpha_phase_2)
+result = nceil_ncpi1_mpi2_mo3_co1_co2(mo3_co1_co2[ci1(nmo3[expr1])])
+result = mo3_co1_co2[nceil_ncpi1_mpi2(ci1(nmo3[expr1]))]
+result = mo3_co1_co2[mpi2(nmo3[expr1])]
+result = mo3_co1_co2[mpi2(nmo3[ si1_mo3(so1[alphabet]) ^ mi1_mo2(mo1[s_a ^ se_a ^ ce_a])])]
+result = mo3_co1_co2[mpi2(si1(so1[alphabet]) ^ nmo3[mi1_mo2(mo1[s_a ^ se_a ^ ce_a])])]
+
+alpha_phase_3 = result ^ co1_co2[mi1_mo2_mpi2_mo3(mo1[ce_a ^ c_a ^ m_a ^ c_a])]
+alpha_phase_3 = result ^ co1_co2[mi1_mo2_mpi2_mo3(mo1[ce_a ^ m_a])]
+
+alpha_phase_3 = mo3_co1_co2[mpi2(si1(so1[alphabet]) ^ nmo3[mi1_mo2(mo1[s_a ^ se_a ^ ce_a])])] ^ co1_co2[mi1_mo2_mpi2_mo3(mo1[ce_a ^ m_a])]
+
+alpha_phase_3 = co1_co2[ si1_mpi2_mo3(so1[alphabet]) ^ mi1_mo2_mpi2_mo3(mo1[s_a ^ se_a ^ ce_a])  ^ mi1_mo2_mpi2_mo3(mo1[ce_a ^ m_a])]
+alpha_phase_3 = co1_co2[ si1_mpi2_mo3(so1[alphabet]) ^ mi1_mo2_mpi2_mo3(mo1[s_a ^ se_a ^ m_a])] 
+```