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.
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© 2001 Springer-Verlag Berlin Heidelberg
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Betsumiya, K., Harada, M., Munemasa, A. (2001). Type II Codes over IF2r. In: Boztaş, S., Shparlinski, I.E. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2001. Lecture Notes in Computer Science, vol 2227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45624-4_11
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DOI: https://doi.org/10.1007/3-540-45624-4_11
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