IIM  Vol.7 No.2 , March 2015
On the Automorphism Group of Distinct Weight Codes
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.

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.
[1]   Bouyukliev, I. (2007) About the Code Equivalence, Advances in Coding Theory and Cryptology. In: Shaska, T., Huffman, W.C., Joyner, D. and Ustimenko, V., Eds., Series in Coding Theory and Cryptology, World Scientific Publishing, Vol. 3, 126-151.

[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.

[4]   Bogart, K., Goldberg, D. and Gordon, J. (1978) An Elementary Proof of the MacWilliams Theorem on Equivalence of Codes. Information and Control, 37, 19-22.

[5]   Bouyukliev, I.G. (2007) What Is Q-Extension? Serdica Journal of Computing, 1, 115-130.