Back to Search
Start Over
The maximum designed distances of dual-containing non-primitive BCH codes.
- Source :
-
Discrete Mathematics . May2024, Vol. 347 Issue 5, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- Let q be a prime power and m a positive integer. Suppose that a ≥ 2 is a factor of q m − 1 such that m is the multiplicative order of q modulo n : = q m − 1 a. Firstly, for m odd and m even, we present some necessary and sufficient conditions on dual-containing non-primitive BCH codes of length n with the maximum designed distances over F q , respectively. The results show that the maximum designed distances of dual-containing BCH codes in this paper are larger than those in [2, Theorem 3]. Secondly, we explicitly determine the dimensions of some dual-containing non-primitive BCH codes of length n , and finally, we construct some new quantum codes with relatively large minimum distances. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR codes
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 347
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176127110
- Full Text :
- https://doi.org/10.1016/j.disc.2024.113905