Fault Tolerance for Integer Sequences
Abstract
In many signal processing and computing systems, one is faced with the task of processing data which is inherently defined on a ring of integers modulo an integer M, or can equivalently be converted to one. Such an arithmetic is based on the number theoretic properties of data sequences. It has fascinated and attracted the attention of mathematicians and physicists dating back to ancient times as well as modern day engineers who analyze the various problems borne of the recent technological advances. Number theory has found numerous applications in the design of computationally efficient algorithms for digital signal processing.
Fields of Study & Subjects
Cryptography and Residue Arithmetic
Coding theory and cryptography
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 131–158
- Publication date
- 10 February 2026
- Language
- EN
- Document type
- Book chapter