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A NOTE ON k-GALOIS LCD CODES OVER THE RING Fq + uFq.
- Source :
-
Bulletin of the Australian Mathematical Society . Aug2021, Vol. 104 Issue 1, p154-161. 8p. - Publication Year :
- 2021
-
Abstract
- We study the k-Galois linear complementary dual (LCD) codes over the finite chain ring R = Fq + uFq with u2 = 0, where q = pe and p is a prime number. We give a sufficient condition on the generator matrix for the existence of k-Galois LCD codes over R. Finally, we show that a linear code over R (for k = 0, q > 3) is equivalent to a Euclidean LCD code, and a linear code over R (for 0, (pe−k + 1) (pe−1) and (pe−1)/(pe−k + 1) > 1) is equivalent to a k-Galois LCD code. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PRIME numbers
*FINITE rings
Subjects
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 104
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 151176310
- Full Text :
- https://doi.org/10.1017/S0004972720001331