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On a class of repeated-root monomial-like abelian codes
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نویسنده
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Martínez-Moro Edgar ,Özadam Hakan ,Özbudak Ferruh ,Szabo Steve
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منبع
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journal of algebra combinatorics discrete structures and applications - 2015 - دوره : 2 - شماره : 2 - صفحه:75 -84
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چکیده
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In this paper we study polycyclic codes of length p^s1 *...* p^sn over fpa generated by a singlemonomial. these codes form a special class of abelian codes. we show that these codes arise fromthe product of certain single variable codes and we determine their minimum hamming distance.finally we extend the results of massey et. al. in [10] on the weight retaining property of monomialsin one variable to the weight retaining property of monomials in several variables.
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کلیدواژه
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Repeated-root Cyclic code ,Abelian code ,Weight-retaining property
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آدرس
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University of Valladolid, Institute of Mathematics, Applied Mathematics Department, Spain, Middle East Technical University, Institute of Applied Mathematics, Department of Mathematics, Turkey. University of Massachusetts, Medical School, USA, Middle East Technical University, Institute of Applied Mathematics, Department of Mathematics, Turkey, Eastern Kentucky University, Department of Mathematics and Statistics, USA
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پست الکترونیکی
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steve.szabo@eku.edu
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Authors
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