Weight enumerators and gray maps of linear codes over rings (original) (raw)

Linear codes over \\mathbb {F}_2 \\times (\\mathbb {F}_2+v\\mathbb {F}_2)$$F2×(F2+vF2) and the MacWilliams identities

Refia Aksoy

Applicable Algebra in Engineering, Communication and Computing, 2019

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Linear codes over \mathbb {F}_2 \times (\mathbb {F}_2+v\mathbb {F}_2)$$ and the MacWilliams identities

Fatma Çalışkan

Applicable Algebra in Engineering, Communication and Computing, 2019

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MacWilliams identities for m-spotty weight enumerators of codes over rings

Amit Sharma

2014

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Weight enumerator of some irreducible cyclic codes

Fabio Enrique Brochero Martínez

Designs, Codes and Cryptography, 2014

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The Weight Enumerator for a Class of Linear Codes

IJERA Journal

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A note on a basic exact sequence for the Lee and Euclidean weights of linear codes over Z ℓ </mml:math

Patrick Sole

Linear Algebra and its Applications

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Linear codes over

Bahattin Yildiz

Dcc, 2010

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Characteristics of invariant weights related to code equivalence over rings

Marcus Greferath

Designs, Codes and Cryptography, 2012

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On the Weight Enumerators of Duadic and Quadratic Residue Codes

A. Wassermann

IEEE Transactions on Information Theory, 2005

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Linear Codes over Z2s with the Extended Lee Weight

Zeynep Ödemiş Özger

AIP Conference Proceedings, 2011

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Complete weight enumerator of torsion codes

Xiangrui Meng

Advances in Mathematics of Communications, 2020

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One-Homogeneous Weight Codes Over Finite Chain Rings

Mustafa Sarı

Bulletin of the Korean Mathematical Society, 2015

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Linear Codes over Z_4+uZ_4: MacWilliams identities, projections, and formally self-dual codes

Bahattin Yildiz

arXiv (Cornell University), 2013

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Two-Weight Codes over Chain Rings and Partial Difference Sets

Patrick Sole

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Weights modulo pe of linear codes over rings

Bahattin Yildiz

Designs, Codes and Cryptography, 2007

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On bounds for codes over Frobenius rings under homogeneous weights

Marcus Greferath

Discrete Mathematics, 2004

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The weight distribution of some irreducible cyclic codes

Gurmeet Bakshi

Finite Fields and Their Applications, 2012

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Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields

T. Shaska

Designs, Codes and Cryptography, 2014

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Code enumerators and tutte polynomials

Thomas Britz

Information Theory, IEEE Transactions on, 2010

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Three-weight codes and the quintic construction

Patrick Sole

ArXiv, 2016

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A Family of Two-Weight Irreducible Cyclic Codes

Nimalsiri Pinnawala

Ieee Transactions on Information Theory, 2010

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Codes over certain rings

Ian Blake

Information and Control, 1972

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On the MacWilliams identities for linear codes

Janet Beissinger

Linear Algebra and its Applications, 1988

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On the Classification of Codes over Non-Unital Ring of Order 4

KIKANI ISHA MAHESHBHAI

Cornell University - arXiv, 2022

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On the Equivalence of Codes over Finite Rings

Quang Dinh

Applicable Algebra in Engineering, Communication and Computing, 2004

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Codes over an infinite family of rings with a Gray map

Abdullah Dertli

Designs, Codes and Cryptography, 2013

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On gray images of constacyclic codes over the finite ring F₂ + u₁F₂ + u₂F₂

Abdullah Dertli

Işık University Press, 2019

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On MacWilliams type identities for r-fold joint m-spotty weight enumerators

Amit Sharma

2012

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The weight distribution for a class of irreducible cyclic codes

Torleiv Klove

Discrete Mathematics, 1977

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Generalized Hamming weights of three classes of linear codes

Hongfeng Wu

Finite Fields and Their Applications, 2017

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On the ideal associated to a linear code

Edgar Martinez-Moro

2012

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