On the classification of certain ternary codes of length 12

DOI10.32917/HMJ/1459525932zbMATH Open1360.94359arXiv1508.02819OpenAlexW2963187075WikidataQ128871655 ScholiaQ128871655MaRDI QIDQ290928

Masaaki Harada, Makoto Araya

Publication date: 3 June 2016

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

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 $4$.

Full work available at URL: https://arxiv.org/abs/1508.02819

zbMATH Keywords

classificationweight enumeratorternary code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Applications to coding theory and cryptography of arithmetic geometry (14G50)

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