Details:
Title  On the second weight of generalized ReedMuller codes.  Author(s)  Olav Geil  Type  Article in Journal  Abstract  Not much is known about the weight distribution of the generalized ReedMuller code RM q (s,m) when q > 2, s > 2 and m ≥ 2. Even the second weight is only known for values of s being smaller than or equal to q/2. In this paper we establish the second weight for values of s being smaller than q. For s greater than (m – 1)(q – 1) we then find the first s + 1 – (m – 1)(q–1) weights. For the case m = 2 the second weight is now known for all values of s. The results are derived mainly by using Gröbner basis theoretical methods.  Keywords  Footprint, Generalized ReedMuller code, Gröbner basis  ISSN  09251022; 15737586/e 
URL 
http://link.springer.com/article/10.1007%2Fs1062300892119 
Language  English  Journal  Des. Codes Cryptography  Volume  48  Number  3  Pages  323330  Publisher  Springer US, New York, NY  Year  2008  Edition  0  Translation 
No  Refereed 
No 
