Generalized Hamming Weights of q-ary Reed-Muller Codes

The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the one point geometric Goppa codes as the q-ary Reed-Muller codes. For the latter codes it is shown that this bound is sharp and that they satisfy the double chain condition.

• Type: Journal
• Year: 1998
• Where: TIT
• Authors: Petra Heijnen, Ruud Pellikaan
• Keywords: Double Chain Condition, Geometric Goppa Codes, Q-ary Reed-muller Codes, TIT 1998