Title
On the next-to-minimal weight of projective Reed-Muller codes.
Abstract
In this paper we present several values for the next-to-minimal weights of projective Reed–Muller codes. We work over Fq with q≥3 since in [3] we have determined the complete values for the next-to-minimal weights of binary projective Reed–Muller codes. As in [3] here we also find examples of codewords with next-to-minimal weight whose set of zeros is not in a hyperplane arrangement.
Year
DOI
Venue
2018
10.1016/j.ffa.2017.12.012
Finite Fields and Their Applications
Keywords
DocType
Volume
94B05,94B27,11T71,14G50
Journal
50
ISSN
Citations 
PageRank 
1071-5797
0
0.34
References 
Authors
9
2
Name
Order
Citations
PageRank
Cícero Carvalho1487.81
Victor G. L. Neumann262.68