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computer and network security

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MIT 6.857 Computer and Network Security Class Notes. 1. File: . Computer and Network Security. MIT 6.857 Class Notes. by Ronald L. Rivest. December 2, 2002 .

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Bignum computations Many cryptographic schemes, such as RSA, work with large integers, also known as “bignums” or “multi-precision integers.” Here “large” may mean 160–4096 bits (49–1233 decimal digits), with 1024-bit integers(308 decimal digits) typical. We brieﬂy overview of some implementation issues and possibilities. When RSA was invented, efﬁciently implementing it was a problem. Today, standard desktop CPU’s performbignum computations quickly. Still, for servers doing hundreds of SSL connections per second, a hardwareassist may be needed, such as the SSL accelerators produced by nCipher

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