This has obviousapplications in "electronic mail" and "electronic fundstransfer" systems. A message is encrypted byrepresenting it as a number M, raising M to a publiclyspecified power e, and then taking the remainderwhen the result is divided by the publicly specifiedproduct, n, of two large secret prime numbers p and q.Decryption is similar; only a different, secret, power dis used, where e * d ------l(mod (p - 1) * (q - 1)). Thesecurity of the system rests in part on the difficulty offactoring the published divisor, n.Key Words and Phrases: digital signatures, publickey cryptosystems, privacy, authentication, security,factorization, prime number, electronic mail, messagepassing, electronic funds transfer, cryptography.CR Categories: 2.12, 3.15, 3.50, 3.81, 5.25
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