Generate a public/private key pair for the RSA cryptosystem. Do this by creating: 1. A 100-bit prime p and a 100-bit prime q 2. The modulus n (about 200 bits) and the value of o(n) 3. The decryption key corresponding to the exponent e=7 Provide values p, q, n, and decryption exponent d. 560 students: Make your p and q SAFE primes. That is, ensure that p=1+2P and q=1+2Q; where P and Q are also primes. Provide a screenshot or text of the code or process you follow to ensure this.

Computer Networking: A Top-Down Approach (7th Edition)
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Encrypt a specific message (see below) using RSA with your encryption key: Let M be the numerical portion of your B-number, minus leading zeroes (for example, B00123456 has numerical portion 123456), plus the constant 3100. 3100 is 515377520732011331036461129765621272702107522001. 1. Compute C=Me (mod n); 2. Compute the “signature” S = Md (mod n) Provide the values C and S.

B-number is B00123456

Generate a public/private key pair for the RSA cryptosystem. Do this by creating:
1. A 100-bit prime p and a 100-bit prime q
2. The modulus n (about 200 bits) and the value of o(n)
3. The decryption key corresponding to the exponent e=7
Provide values p, q, n, and decryption exponent d.
560 students: Make your p and q SAFE primes. That is, ensure that p=1+2P and q=1+2Q,
where P andQ are also primes. Provide a screenshot or text of the code or process you
follow to ensure this.
Transcribed Image Text:Generate a public/private key pair for the RSA cryptosystem. Do this by creating: 1. A 100-bit prime p and a 100-bit prime q 2. The modulus n (about 200 bits) and the value of o(n) 3. The decryption key corresponding to the exponent e=7 Provide values p, q, n, and decryption exponent d. 560 students: Make your p and q SAFE primes. That is, ensure that p=1+2P and q=1+2Q, where P andQ are also primes. Provide a screenshot or text of the code or process you follow to ensure this.
Encrypt a specific message (see below) using RSA with your encryption key:
Let M be the numerical portion of your B-number, minus leading zeroes (for example,
B00123456 has numerical portion 123456), plus the constant 3100. 3100 is
515377520732011331036461129765621272702107522001.
1. Compute C=Me (mod n);
2. Compute the “signature" S = Md (mod n)
Provide the values C and S.
Transcribed Image Text:Encrypt a specific message (see below) using RSA with your encryption key: Let M be the numerical portion of your B-number, minus leading zeroes (for example, B00123456 has numerical portion 123456), plus the constant 3100. 3100 is 515377520732011331036461129765621272702107522001. 1. Compute C=Me (mod n); 2. Compute the “signature" S = Md (mod n) Provide the values C and S.
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