논문KCI 등재
SKEW(β1+υβ2+νβ3+υνβ4+ν2β5+υν2β6)-CONSTACYCLIC CODES OVER Fq+υFq+νFq+υνFq+ν2Fq+υν2Fq
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초록
In this paper, we study (θ - β)-constacyclic codes over the ring R = Fq + uFq + vFq + uvFq + v2Fq + uv2Fq, with u2 = 1, v3 = v, uv = vu, q = pm and p is an odd prime. The structural proper- ties of (θ - β)-constacyclic codes over the ring R are studied. Fur- ther, generating polynomials and idempotent generators for (θ - β)- constacyclic codes over the ring R are studied.
Abstract
In this paper, we study (θ - β)-constacyclic codes over the ring R = Fq + uFq + vFq + uvFq + v2Fq + uv2Fq, with u2 = 1, v3 = v, uv = vu, q = pm and p is an odd prime. The structural proper- ties of (θ - β)-constacyclic codes over the ring R are studied. Fur- ther, generating polynomials and idempotent generators for (θ - β)- constacyclic codes over the ring R are studied.
참고문헌 (13)
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- H. Islam, "Skew Cyclic and Skew(α1 +uα2 +vα3 +uvα4)-Constacyclic Codes over Fq + uFq + vFq + uvFq", International Journal of Information and Coding Theory, 5(2), pp.101~116 (2018)
- H. Q. Dinh, "Cyclic and Negacyclic Codes over Finite Chain Rings", IEEE Transactions on Information Theory, 50(8), pp.1728~1744 (2004)[DOI]
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- =hu2-1; v3-v; uv-vui, "Cryptography and Communications", 2019, 325~335, 10.1007[DOI]
- M. M. Al-Ashker, "Skew constacyclic codes over Fp + vFp", Palestine Journal of Mathematics, 5(2), pp.96~103 (2016)
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- T. Yao, "Skew Cyclic Codes over Fq +uFq +vFq +uvFq", Journal of Algebra Combinatorics Discrete Structures and Applications, 2(3), pp.163~168 (2015)[DOI]
- =hu2 -1; v3 - v; uv - vui, "Journal of University of Science and Technology of China", 2017, 862~868, 10.3969[DOI]
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