On Poincaré series for codes
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The paper deals with an alphabet-code model and with an associative algebra over a field generated by the alphabet for which the code words are the determinant relations. The restrictions on the overlapping of the code words are closely connected to the restrictions on the homology groups of the algebra. The paper presents the study of this connection quantitatively expressed via the Poincaré series of the algebra. Bibliography: 6 titles.
KeywordsHomology Group Associative Algebra Code Word Determinant Relation
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