Homework Answers
Decoded Message m
= m' ^ d (mod n)
= 236^19 mod 253
236^2 mod 253 = 55696 mod 253 = 36
236^4 mod 253 = ((236^2 mod 253)(236^2 mod 253))mod 253
= (36*36) mod 253
= 31
236^8 mod 253 = ((236^4 mod 253)(236^4 mod 253)) mod 253
= (31*31) mod 253
= 202
236^16 mod 253 = ((236^8 mod 253)(236^8 mod 253)) mod 253
= (202*202) mod 253
= 71
236^18 mod 253 = ((236^16 mod 253)(236^2 mod 253)) mod 253
= (71*36) mod 253
= 26
236^19 mod 253 = ((236^18 mod 253)(236 mod 253)) mod 253
= (26*236) mod 253
= 6136 mod 253
= 64
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