A class of constacyclic BCH codes with length $ \frac{q^{m}+1}{2} $

BCH codes of length 511

Repeated-root constacyclic codes of length slmpn

For any different odd primes ` and p, structure of constacyclic codes of length 2`p over the finite field Fq of characteritic p and their duals is established in term of their generator polynomials. Among other results, the characterization and enumeration of all linear complimentary dual and self-dual constacylic codes of length 2`p are obtained.

A class of constacyclic codes over a finite field

Article history: Received 11 April 2011 Revised 13 September 2011 Accepted 14 September 2011 Available online 28 September 2011 Communicated by Jacques Wolfmann

Some binary BCH codes with length $n=2^m+1$

Under research for near sixty years, Bose-Ray-Chaudhuri-Hocquenghem(BCH) codes have played increasingly important roles in many applications such as communication systems, data storage and information security. However, the dimension and minimum distance of BCH codes are seldom solved until now because of their intractable characteristics. The objective of this paper is to study the dimensions ...

Repeated-root constacyclic codes of length $2\ell^mp^n$

For any different odd primes l and p, structure of constacyclic codes of length 2lp over a finite field Fq of characteritic p and their duals is established in term of their generator polynomials. Among other results, all linear complimentary dual and self-dual constacyclic codes of length 2lp over Fq are obtained.