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On a class of repeated root monomial like abelian codes
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Date
2015-04-01
Author
Martinez Moro, Edgar
Özadam, Hakan
Özbudak, Ferruh
szabo, steve
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In this paper we study polycyclic codes of length p s 1 × ⋯ × p s n p s 1 ×⋯×p s n \ over $\F_{p^a}$\ generated by a single monomial. These codes form a special class of abelian codes. We show that these codes arise from the product of certain single variable codes and we determine their minimum Hamming distance. Finally we extend the results of Massey et. al. in \cite{MASSEY_1973} on the weight retaining property of monomials in one variable to the weight retaining property of monomials in several variables.
Subject Keywords
Repeated-root Cyclic code
,
Abelian code
,
Weight-retaining property
URI
https://hdl.handle.net/11511/42513
Journal
Journal of Algebra Combinatorics Discrete Structures and Applications
DOI
https://doi.org/10.13069/jacodesmath.17537
Collections
Department of Mathematics, Article
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E. Martinez Moro, H. Özadam, F. Özbudak, and s. szabo, “On a class of repeated root monomial like abelian codes,”
Journal of Algebra Combinatorics Discrete Structures and Applications
, pp. 75–84, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42513.