On three weights in cyclic codes with two zeros

Authors:
Gary Mcguire
Affiliations:
Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland
Venue:
Finite Fields and Their Applications
Year:
2004

Citing 8
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Abstract

We show that the dual code of the binary cyclic code of length 2^m-1 with two zeros @a,@a^d cannot have three weights in the case that m is even and d=0(mod3). The proof involves the partial calculation of a coset weight distribution.