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Further results on optimal ternary cyclic codes.
- Source :
-
Finite Fields & Their Applications . Oct2021, Vol. 75, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- Let C (u , v) denote the ternary cyclic code with two nonzeros α u and α v , where α is a generator of F 3 m ⁎ and 0 ≤ u , v ≤ 3 m − 2. In this paper, we present a sufficient condition such that C (u , v) is an optimal ternary cyclic code. Based on this condition, we get several classes of optimal ternary cyclic codes by choosing the proper u and v. Moreover, we show that C ( 3 m + 1 2 , 3 m − 1 2 + v) and C (1 , v) have the same optimality. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CYCLIC codes
*SPHERE packings
*NONLINEAR functions
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 75
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 151980814
- Full Text :
- https://doi.org/10.1016/j.ffa.2021.101898