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Article Dans Une Revue Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences Année : 2010

The second weight of generalized Reed-Muller codes in most cases

Résumé

The second weight of the Generalized Reed-Muller code of length q n and order d over the finite field with q elements is now known for d < q and d > (n − 1)(q − 1). In this paper, we determine the second weight for the other values of d which are not multiples of q − 1 plus 1. For the special case d = a(q − 1) + 1 we give an estimate.

Dates et versions

hal-01079448 , version 1 (02-11-2014)

Identifiants

Citer

Robert Rolland. The second weight of generalized Reed-Muller codes in most cases. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , 2010, 2 (1), pp.19-40. ⟨10.1007/s12095-009-0014-2⟩. ⟨hal-01079448⟩
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