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What is Chinese Remainder Theorem Explained about?
The Chinese Remainder Theorem allows one to solve simultaneous congruences efficiently. It states that if one is given remainders for a number x when divided by pairwise relatively prime moduli m1, m2, ..., mk, then there exists a unique solution for x modulo m1m2...mk. This unique solution can be computed efficiently using the formula x = a1c1m1 + a2c2m2 + ... + akckmk (mod M), where M = m1m2...mk and ci is the inverse of mi modulo M/mi.
- Author
- Agniva Roychowdhury
- Language
- EN