Ds-bounds for cyclic codes: new bounds for abelian codes (original) (raw)

From ds-bounds for cyclic codes to true distance for abelian codes

José Joaquín Bernal

ArXiv, 2017

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From ds-Bounds for Cyclic Codes to True Minimum Distance for Abelian Codes

José Joaquín Bernal

IEEE Transactions on Information Theory, 2019

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Generalizing Bounds on the Minimum Distance of Cyclic Codes Using Cyclic Product Codes

Sergey Bezzateev

2013

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A New Bound on the Minimum Distance of Cyclic Codes Using Small-Minimum-Distance Cyclic Codes

Sergey Bezzateev

2012

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Constructions of Abelian Codes Multiplying Dimension of Cyclic Codes

José Joaquín Bernal

Mathematics in Computer Science, 2019

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Nuh Aydin

Series on Coding Theory and Cryptology, 2010

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R. Pellikaan

Journal of Combinatorial Theory, Series A, 2006

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On the Minimal Distance of Binary Self-Dual Cyclic Codes

Jaap Top

IEEE Transactions on Information Theory, 2009

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A note on the hull and linear complementary pair of cyclic codes

Zohreh Aliabadi

arXiv (Cornell University), 2023

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Efficient decoding of some classes of binary cyclic codes beyond the Hartmann-Tzeng bound

Antonia Wachter

2011

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Open problems on cyclic codes

Pascale Charpin

2009

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Decoding Cyclic Codes up to a New Bound on the Minimum Distance

Sergey Bezzateev

IEEE Transactions on Information Theory, 2012

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On (1−u) -cyclic codes over

Carmen Amarra

Applied Mathematics Letters, 2008

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A characterization of a class of optimal three-weight cyclic codes of dimension 3 over any finite field

Gerardo Vega

Finite Fields and Their Applications, 2016

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Several new lower bounds on the size of codes with covering radius one

Simon Litsyn

Ieee Transactions on Information Theory, 1998

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Transform domain characterization of Abelian codes

Mohammad Umar Siddiqi

IEEE Transactions on Information Theory, 1992

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Cyclic and BCH codes whose minimum distance equals their maximum BCH bound

José Joaquín Bernal

Advances in Mathematics of Communications, 2016

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Improved upper bounds on sizes of codes

Simon Litsyn

2002

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Recent progress on weight distributions of cyclic codes over finite fields

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Cyclic codes over finite rings

Marcus Greferath

Discrete Mathematics, 1997

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Describing A Cyclic Code by Another Cyclic Code

Sergey Bezzateev

2012

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Bounds on Codes Based on Graph Theory

Costas Georghiades

2007 IEEE International Symposium on Information Theory, 2007

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Quasi-cyclic Codes from Cyclic-Structured Designs with Good Properties

Dimitris Simos

math.ntua.gr

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On quasi-cyclic codes as a generalization of cyclic codes

Morgan Barbier

Finite Fields and Their Applications, 2012

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Good cyclic codes and the uncertainty principle

Alexander Lubotzky

L’Enseignement Mathématique

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