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remainder theorem

   Also found in: Wikipedia 0.03 sec.
remainder theorem [ri′mān·dər ‚thir·əm]
(mathematics)
Dividing a polynomialp(x) by (x-a) gives a remainder equaling the numberp(a).


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At the end, only one multilength computation is required to construct the global solution (the exact answer) by means of the Chinese Remainder Theorem.
The Secturion security processing cards deliver 4400 RSA key decrypts per second (1024-bit modulus with Chinese Remainder Theorem -- CRT) which equates to initiating about 4000 secure sessions per second for Web based applications as well as initiating as many as 3400 secure tunnels for VPN solutions.
The dedicated RSA (Rivest, Shamir, Adleman) cryptography accelerator processes digital signatures with key lengths of 1,024 bits in 420 milliseconds (at 10 MHz, without Chinese Remainder Theorem CRT), RSA algorithms with key lengths of 2,048 bits can also be processed using the CRT.
 
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