@MISC{Danielsen_onthe, author = {Lars Eirik Danielsen}, title = {On the Classification of Self-Dual Additive Codes over GF(9)}, year = {} }
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Abstract
Abstract—Additive codes over GF(9) that are self-dual with respect to the Hermitian trace inner product have previously been classified up to length 8. In this paper, all codes of length 9 and 10 are classified, using a new algorithm that combines two graph representations of codes. First, the search space is reduced by the fact that every self-dual additive code can be mapped to a weighted graph. Then a different graph is described that transforms the problem of code equivalence into a problem of graph isomorphism. I.