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On the Automorphism Group of Distinct Weight Codes
Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali, El Jadida, Morocco
Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali, El Jadida, Morocco
- 1 Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali, El Jadida, Morocco
- 2 Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali, El Jadida, Morocco
Intelligent Information Management·Volume 07 (2015)·Pages 80–92·Published 15 February 2015·DOI10.4236/iim.2015.72008
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Abstract
In this work, we study binary linear distinct weight codes (DW-code). We give a complete classification of -DW-codes and enumerate their equivalence classes in terms of the number of solutions of specific Diophantine Equations. We use the Q-extension program to provide examples.
KeywordsDistinct (Constante) Weigth CodeAutomorphism GroupExtension Theorem of MacWilliamsDiophantine Equations
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