On involutions in extremal self-dual codes and the dual distance of semi self-dual codes (Q2011483)

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English	On involutions in extremal self-dual codes and the dual distance of semi self-dual codes	scientific article

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scholarly article

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On involutions in extremal self-dual codes and the dual distance of semi self-dual codes (English)

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Martino Borello

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Finite Fields and their Applications

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publication date

3 August 2017

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full work available at URL

https://arxiv.org/abs/1401.6036

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zbMATH Keywords

semi self-dual codes

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bounds on minimum distance

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automorphism group

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free modules

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extremal codes

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MaRDI profile type

MaRDI publication profile

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On the Classification of Extremal $[36,18,8]$ Binary Self-Dual Codes

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On harmonic weight enumerators of binary codes

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Designs and self-dual codes with long shadows.

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Automorphisms of Order $2p$ in Binary Self-Dual Extremal Codes of Length a Multiple of 24

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The Automorphism Group of a Self-Dual $[72, 36, 16]$ Binary Code Does Not Contain Elements of Order 6

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The automorphism group of a self-dual \([72,36,16]\) code is not an elementary abelian group of order 8

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The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\)

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On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24\(m\)

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On the automorphism group of a binary self-dual \([120, 60, 24]\) code

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On the automorphisms of order 15 for a binary self-dual \([96, 48, 20]\) code

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Projectivity and relative projectivity over group rings

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On primes dividing the group order of a doubly-even \((72,36,16)\) code and the group order of a quaternary \((24,12,10)\) code

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Automorphisms of doubly even self-dual binary codes

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An upper bound for self-dual codes

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An extremal \([72,36,16]\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\)

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Bounds for self-dual codes over \(\mathbb{Z}_4\)

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Shadow bounds for self-dual codes

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Is there a (72,36) d = 16 self-dual code? (Corresp.)

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The Automorphism Group of a Self-Dual <inline-formula> <tex-math notation="TeX">$[{72,36,16}]$ </tex-math></inline-formula> Code Does Not Contain <inline-formula> <tex-math notation="TeX">$Z_{4}$ </tex-math></inline-formula>

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On the nonexistence of extremal self-dual codes

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Identifiers

zbMATH Open document ID

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10.1016/j.ffa.2014.11.008

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2011483

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