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http://dx.doi.org/10.14403/jcms.2018.31.1.269

SELF-DUAL CODES AND ANTIORTHOGONAL MATRICES OVER GALOIS RINGS  

Han, Sunghyu (School of Liberal Arts Korea University of Technology and Education)
Publication Information
Journal of the Chungcheong Mathematical Society / v.31, no.2, 2018 , pp. 269-280 More about this Journal
Abstract
We study self-dual codes over Galois rings using the building-up construction method. In the construction, the existence of an antiorthogonal matrix is very important. In this study, we examine the existence problem of an antiorthogonal matrix over Galois rings.
Keywords
antiorthogonal matrix; building-up construction; Galois rings; self-dual codes;
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