WEIGHT DISTRIBUTIONS FOR A CERTAIN CLASS OF CODES AND MAXIMAL CURVES

被引：7
|
作者：
VANDERGEER, G [1 ]
VANDERVLUGT, M [1 ]
机构：
[1] LEIDEN UNIV,INST MATH,2300 RA LEIDEN,NETHERLANDS
来源：
DISCRETE MATHEMATICS | 1992年 / 106卷
关键词：
D O I：
10.1016/0012-365X(92)90548-T
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using a close relationship between words in trace codes and algebraic curves we determine the weight distributions for certain subcodes of second-order Reed-Muller codes in odd characteristic. These weight distributions reveal the existence of curves for which the number of rational points attains the Hasse-Weil upper bound.
引用
收藏
页码：209 / 218
页数：10
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