Defining sets of extended cyclic codes invariant under the affine group

Kanat Abdukhalikov

doi:10.1016/j.jpaa.2004.02.016

Defining sets of extended cyclic codes invariant under the affine group

Journal of Pure and Applied Algebra ◽

10.1016/j.jpaa.2004.02.016 ◽

2005 ◽

Vol 196 (1) ◽

pp. 1-19 ◽

Cited By ~ 4

Author(s):

Kanat Abdukhalikov

Keyword(s):

Cyclic Codes ◽

Affine Group ◽

Extended Cyclic Codes ◽

Defining Sets

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Defining Sets of Cyclic Codes Invariant Under the Affine Group

Electronic Notes in Discrete Mathematics ◽

10.1016/s1571-0653(04)00184-2 ◽

2001 ◽

Vol 6 ◽

pp. 328-336 ◽

Cited By ~ 2

Author(s):

Kanat Abdukhalikov

Keyword(s):

Cyclic Codes ◽

Affine Group ◽

Defining Sets

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A minimum system of generators for extended cyclic codes which are invariant under the affine group

Algebraic Algorithms and Error-Correcting Codes - Lecture Notes in Computer Science ◽

10.1007/3-540-16776-5_707 ◽

1986 ◽

pp. 34-42 ◽

Cited By ~ 1

Author(s):

P. Charpin

Keyword(s):

Cyclic Codes ◽

Affine Group ◽

Extended Cyclic Codes ◽

Minimum System

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Enumeration of certain affine invariant extended cyclic codes

Journal of Combinatorial Theory Series A ◽

10.1016/j.jcta.2004.10.002 ◽

2005 ◽

Vol 110 (1) ◽

pp. 71-95 ◽

Cited By ~ 3

Author(s):

Xiang-Dong Hou

Keyword(s):

Cyclic Codes ◽

Affine Invariant ◽

Extended Cyclic Codes

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Self-dual extended cyclic codes

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/s00200-005-0191-y ◽

2005 ◽

Vol 17 (1) ◽

pp. 1-16 ◽

Cited By ~ 8

Author(s):

Conchita Martínez-Pérez ◽

Wolfgang Willems

Keyword(s):

Cyclic Codes ◽

Extended Cyclic Codes

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The permutation group of affine-invariant extended cyclic codes

IEEE Transactions on Information Theory ◽

10.1109/18.556607 ◽

1996 ◽

Vol 42 (6) ◽

pp. 2194-2209 ◽

Cited By ~ 21

Author(s):

T.P. Berger ◽

P. Charpin

Keyword(s):

Permutation Group ◽

Cyclic Codes ◽

Affine Invariant ◽

Extended Cyclic Codes

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Enumeration of AGL(m/3, double struck capital Fp³)-invariant extended cyclic codes

International Journal of Information and Coding Theory ◽

10.1504/ijicot.2010.032137 ◽

2010 ◽

Vol 1 (2) ◽

pp. 214

Author(s):

Xiang Dong Hou

Keyword(s):

Cyclic Codes ◽

Extended Cyclic Codes

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Extended cyclic codes, maximal arcs and ovoids

Designs Codes and Cryptography ◽

10.1007/s10623-021-00915-2 ◽

2021 ◽

Author(s):

Kanat Abdukhalikov ◽

Duy Ho

Keyword(s):

Cyclic Codes ◽

Maximal Arcs ◽

Extended Cyclic Codes

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A description of some extended cyclic codes with application to Reed-Solomon codes

Discrete Mathematics ◽

10.1016/0012-365x(85)90019-6 ◽

1985 ◽

Vol 56 (2-3) ◽

pp. 117-124 ◽

Cited By ~ 3

Author(s):

P. Charpin

Keyword(s):

Cyclic Codes ◽

Reed Solomon Codes ◽

Extended Cyclic Codes

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Affine invariant extended cyclic codes over Galois rings

IEEE International Symposium on Information Theory, 2003. Proceedings. ◽

10.1109/isit.2003.1228174 ◽

2003 ◽

Author(s):

Bikash Kumar Dey ◽

B. Sundar Rajan

Keyword(s):

Cyclic Codes ◽

Galois Rings ◽

Affine Invariant ◽

Extended Cyclic Codes

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On explicit minimum weight bases for extended cyclic codes related to Gold functions

Designs Codes and Cryptography ◽

10.1007/s10623-018-0464-7 ◽

2018 ◽

Vol 86 (11) ◽

pp. 2619-2627 ◽

Cited By ~ 1

Author(s):

I. Yu. Mogilnykh ◽

F. I. Solov’eva

Keyword(s):

Cyclic Codes ◽

Minimum Weight ◽

Extended Cyclic Codes

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