On the classification of certain ternary codes of length 12

Makoto Araya; Masaaki Harada

doi:10.32917/hmj/1459525932

On the classification of certain ternary codes of length 12

Makoto Araya, Masaaki Harada

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Shimada and Zhang studied the existence of polarizations on some supersingular K3 surfaces by reducing the existence of the polarizations to that of ternary [12,5] codes satisfying certain conditions. In this note, we give a classification of ternary [12,5] codes satisfying the conditions. To do this, ternary [10,5] codes are classified for minimum weights 3 and 4.

Original language	English
Pages (from-to)	87-96
Number of pages	10
Journal	Hiroshima Mathematical Journal
Volume	46
Issue number	1
DOIs	https://doi.org/10.32917/hmj/1459525932
Publication status	Published - 2016 Mar

Keywords

Classification
Ternary code
Weight enumerator

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.32917/hmj/1459525932

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abstract = "Shimada and Zhang studied the existence of polarizations on some supersingular K3 surfaces by reducing the existence of the polarizations to that of ternary [12,5] codes satisfying certain conditions. In this note, we give a classification of ternary [12,5] codes satisfying the conditions. To do this, ternary [10,5] codes are classified for minimum weights 3 and 4.",

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AB - Shimada and Zhang studied the existence of polarizations on some supersingular K3 surfaces by reducing the existence of the polarizations to that of ternary [12,5] codes satisfying certain conditions. In this note, we give a classification of ternary [12,5] codes satisfying the conditions. To do this, ternary [10,5] codes are classified for minimum weights 3 and 4.

KW - Classification

KW - Ternary code

KW - Weight enumerator

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On the classification of certain ternary codes of length 12

Abstract

Keywords

ASJC Scopus subject areas

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