Secret sharing using the Chinese remainder theorem

Secret sharing is a cryptographic technique that allows a secret (e.g., a piece of information, a key) to be divided into multiple parts, where only a specific subset of those parts can be used to reconstruct the secret. This technique is useful for enhancing security by distributing trust among multiple parties. The Chinese Remainder Theorem (CRT) is a concept from number theory that provides a way to solve systems of simultaneous congruences with different moduli.