##  [Chinese Remainder Reconstruction](/chinese-remainder-reconstruction) 

  ##  [Chinese Remainder Reconstruction](https://puremath.quantumdictionary.io/chinese-remainder-reconstruction-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A reconstruction technique that combines residues of an integer (or polynomial) modulo several pairwise coprime moduli to recover the original integer (or polynomial) modulo the product of the moduli, with uniqueness guaranteed modulo that product.