Second weight codewords of generalized Reed-Muller codes

Authors:
Elodie Leducq
Affiliations:
Institut de Mathématiques de Jussieu, Paris, France 75013
Venue:
Cryptography and Communications
Year:
2013

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Abstract

Recently, the second weight of generalized Reed-Muller codes have been determined (Erickson 1974; Bruen 2010; Geil, Des. Codes Cryptogr. 48(3):323---330, 2008; Rolland, Cryptogr. Commun. 2(1):19---40, 2010). In this paper, we give the second weight codewords of the generalized Reed-Muller codes.