This result can be applied to solve the Hermite interpolation problem by extending it to a P-I-D. Mignotte and Asmuth-Bloom both name secret sharing schemes that rely on this result, and one extension of this result is used to show that the direct product of a series of quotient rings is isomorphic to R over the intersection of the ideals used to generate the quotient rings.
This result can be applied to solve the Hermite interpolation problem by extending it to a P-I-D. Mignotte and Asmuth-Bloom both name secret sharing schemes that rely on this result, and one extension of this result is used to show that the direct product of a series of quotient rings is isomorphic to R over the intersection of the ideals used to generate the quotient rings. All solutions found via this result, which is often used alongside the Extended (*) Euclidean algorithm, are congruent modulo the least common multiple of the pairwise coprime dividends. This theorem is often used to solve systems of simultaneous congruences. For 10 points, name this theorem from number theory which can find a number n given a series of remainders when n is divided by different integers.
This result can be applied to solve the Hermite interpolation problem by extending it to a P-I-D. Mignotte and Asmuth-Bloom both name secret sharing schemes that rely on this result, and one extension of this result is used to show that the direct product of a series of quotient rings is isomorphic to R over the intersection of the ideals used to generate the quotient rings.
Chinese Remainder Theorem