By Cunsheng Ding
This is the 1st monograph on codebooks and linear codes from distinction units and virtually distinction units. It goals at supplying a survey of structures of distinction units and virtually distinction units in addition to an in-depth remedy of codebooks and linear codes from distinction units and virtually distinction units. To be self-contained, this monograph covers worthy mathematical foundations and the fundamentals of coding conception. It additionally comprises tables of top BCH codes and top cyclic codes over GF(2) and GF(3) as much as size one hundred twenty five and seventy nine, respectively. This repository of tables can be utilized to benchmark newly developed cyclic codes.
This monograph is meant to be a reference for postgraduates and researchers who paintings on combinatorics, or coding idea, or electronic communications.
- Mathematical Foundations
- Linear Codes over Finite Fields
- Designs and Their Codes
- Difference Sets
- Almost distinction Sets
- Linear Codes of distinction Sets
- Linear Codes of just about distinction Sets
- Codebooks from (Almost) distinction Sets
Readership: scholars and execs engaged on combinatorics, or coding concept, or electronic communications.
- This is the original monograph at the subject, and hence has no competing titles. it's the first complete reference on nearly distinction units. it's a useful reference for coding theorists as a result of the repository of tables of top cyclic codes and top BCH codes
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Codes from Difference Sets by Cunsheng Ding