Type II codes over F4

被引：46
作者：
Gaborit, P
Pless, V
Solé, P
Atkin, O
机构：
[1] Univ Limoges, LACO, F-87000 Limoges, France
[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
[3] CNRS, ESSI, F-06903 Sophia Antipolis, France
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2002年 / 8卷 / 02期
关键词：
D O I：
10.1006/ffta.2001.0333
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The natural analogues of Lee weight and the Gray map over F-4 are introduced. Self-dual codes for the Euclidean scalar product with Lee weights multiple of 4 are called Type II. They produce Type II binary codes by the Gray map. All extended Q-codes of length a multiple of 4 are Type II. This includes quadratic residue codes attached to a prime p equivalent to 3 (mod 8), certain double circulant codes, and some affine invariant codes. A general mass formula is derived, a new upper bound for Euclidean self-dual codes over F-4 is given, and the first extremal self-dual [92, 46, 16] binary code is built. (C) 2002 Elsevier Science (USA).
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收藏
页码：171 / 183
页数：13
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