Abstract
Motivated by the work of Pasquier and Wolfmann in 1980’s, we define Type II codes over IF2r as self-dual codes with the property that their binary images with respect to a trace-orthogonal basis are doubly-even. We give a classification of Type II codes of length 8 over IF8, IF16 and IF32. We also characterize all Type II codes whose binary images are the extended Golay [24, 12, 8] code.
Cite
CITATION STYLE
Betsumiya, K., Harada, M., & Munemasa, A. (2001). Type II codes over IF2r. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2227, pp. 102–111). Springer Verlag. https://doi.org/10.1007/3-540-45624-4_11
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