Suppose that we received the encrypted message 1927 2215 1000 2518 1148 2144 468

Question

Suppose that we received the encrypted message 1927 2215 1000 2518 1148 2144 468 513 714 552. What is the decrypted message if it was encrypted using the RSA cipher with key (2537,1949). Explain please. Suppose that we received the encrypted message 1927 2215 1000 2518 1148 2144 468 513 714 552. What is the decrypted message if it was encrypted using the RSA cipher with key (2537,1949). Explain please. Suppose that we received the encrypted message 1927 2215 1000 2518 1148 2144 468 513 714 552. What is the decrypted message if it was encrypted using the RSA cipher with key (2537,1949). Explain please. 1927 2215 1000 2518 1148 2144 468 513 714 552. What is the decrypted message if it was encrypted using the RSA cipher with key (2537,1949). Explain please.

Explanation / Answer

The decrypted message for the encrypted mesage is as follow:

encrypted message 1927 2215

p=43,q=59 and e=10 n=2537

Decrypted key d: de=1 mod((p-1)(q-1))=1

d=1mod(42*58)/10=1(cal by calculator)

To decrypt the we should know the public key

c or s=M^e(mod n)

c or s=1927^10(mod 2537)=348

s=348 , b ,d=1 m=1927 e'=348

decrypted message 1927^348 (mod 2537)=1417

  2215^348 (mod 2537)=1122

1000^348 (mod 2537)=532

2518^348 (mod 2537)=1712

1148^348 (mod 2537)=1417

2144^348 (mod 2537)=1

468^348 (mod 2537)=1417

513^348 (mod 2537)=1122

714^348 (mod 2537)=

552^348 (mod 2537)=

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