In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then...

Remainder theorem may refer to: Polynomial remainder theorem Chinese remainder theorem This disambiguation page lists articles associated with the title...

polynomial remainder theorem: If a polynomial f(x) is divided by x − k, the remainder is the constant r = f(k). Chinese remainder theorem Divisibility...

equations. Although a special case of the Chinese remainder theorem had already been described in the Chinese book Sunzi Suanjing, the general solution...

(mod λ(pq)). This is part of the Chinese remainder theorem, although it is not the significant part of that theorem. Although the original paper of Rivest...

the product n 1 ⋯ n k . {\displaystyle n_{1}\cdots n_{k}.} The Chinese remainder theorem asserts that the following linear Diophantine system has exactly...

shares, each containing partial information about the secret. The Chinese remainder theorem (CRT) states that for a given system of simultaneous congruence...

_{i=1}^{k}m_{i}} . There are two secret sharing schemes that make use of the Chinese remainder theorem, Mignotte's and Asmuth-Bloom's Schemes. They are threshold secret...

the remainder term (given below) which are valid under some additional regularity assumptions on f. These enhanced versions of Taylor's theorem typically...

well beyond mere proofs of existence. By an ingenious use of the Chinese remainder theorem, we can constructively define such a recursive function β {\displaystyle...