Word info

Chinese remainder theorem

Proper noun

Meaning

the Chinese remainder theorem

(number theory) A theorem stating that, if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition that the divisors are pairwise coprime.

Source: en.wiktionary.org

Examples

Each of the shares is represented in a congruence, and the solution of the system of congruences using the Chinese remainder theorem is the secret to be recovered. Source: Internet

Encryption Most implementations of RSA use the Chinese remainder theorem during signing of HTTPS certificates and during decryption. Source: Internet

Over principal ideal domains In main, the Chinese remainder theorem has been stated in three different ways: in terms of remainders, of congruences and of a ring isomorphism. Source: Internet

Practical implementations use the Chinese remainder theorem to speed up the calculation using modulus of factors (mod pq using mod p and mod q). Source: Internet

Range ambiguity resolution main The range ambiguity resolution techniques used with medium pulse repetition frequency radar can be seen as a special case of the Chinese remainder theorem. Source: Internet

See Section 31.5: The Chinese remainder theorem, pp. 873–876. Source: Internet

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