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On the Automorphism Group of Distinct Weight Codes

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DOI: 10.4236/iim.2015.72008    9,799 Downloads   10,231 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Haily, A. and Harzalla, D. (2015) On the Automorphism Group of Distinct Weight Codes. Intelligent Information Management, 7, 80-92. doi: 10.4236/iim.2015.72008.

References

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[2] MacWilliams, F.J. and Sloane, N.J.A. (1977) The Theory of Error-Correcting Codes. Elsevier-North-Holland, Amsterdam.
[3] MacWilliams, F.J. (1962) Combinatorial Problems of Elementary Abellan Groups. Ph.D. Dissertation, Harvard University, Cambridge.
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http://dx.doi.org/10.1016/S0019-9958(78)90389-3
[5] Bouyukliev, I.G. (2007) What Is Q-Extension? Serdica Journal of Computing, 1, 115-130.

  
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