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 |
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Pages (from-to) | 87-96 |
Number of pages | 10 |
Journal | Hiroshima Mathematical Journal |
Volume | 46 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2016 Mar |
Keywords
- Classification
- Ternary code
- Weight enumerator
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology