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- Title
Linear Codes and Linear Complementary Pairs of Codes Over a Non-Chain Ring.
- Authors
Cheng, Xiangdong; Cao, Xiwang; Qian, Liqin
- Abstract
Let p be an odd prime number, q = p m for a positive integer m , let q be the finite field with q elements and ω be a primitive element of q . We first give an orthogonal decomposition of the ring R = q + ν q , where ν 2 = a 3 , and a = ω 2 l for a fixed integer l. In addition, Galois dual of a linear code over R is discussed. Meanwhile, constacyclic codes and cyclic codes over the ring R are investigated as well. Remarkably, we obtain that if linear codes and are a complementary pair, then the code and the dual code ⊥ E of are equivalent to each other.
- Subjects
PRIME numbers; ODD numbers; FINITE fields; LINEAR codes; CYCLIC codes; INTEGERS
- Publication
International Journal of Foundations of Computer Science, 2024, Vol 35, Issue 3, p297
- ISSN
0129-0541
- Publication type
Article
- DOI
10.1142/S012905412350003X