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2008
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On the second weight of generalized Reed-Muller codes

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On the second weight of generalized Reed-Muller codes
: Not much is known about the weight distribution of the generalized Reed-Muller code RMq(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 Gr?bner basis theoretical methods.
Olav Geil
Added 25 Dec 2009
Updated 25 Dec 2009
Type Conference
Year 2008
Where DCC
Authors Olav Geil
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