G-projectable and Λ-projectable binary linear block codes

被引：0
|
作者：
Morteza Esmaeili
Morteza Hivadi
机构：
[1] Isfahan University of Technology,Department of Mathematical Sciences
来源：
Designs, Codes and Cryptography | 2007年 / 45卷
关键词：
Linear block code; Projection on F_4; G-Projection; Λ-Projection; 94B35;
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摘要：
The binary [24,12,8] Golay code has projection O onto the quaternary [6,3,4] hexacode [9] and the [32,16,8] Reed-Muller code has projection E onto the quaternary self-dual [8,4,4] code [6]. Projection E was extended to projection G in [8]. In this paper we introduce a projection, to be called projection Λ, that covers projections O, E and G. We characterise G-projectable self-dual codes and Λ-projectable codes. Explicit methods for constructing codes having G and Λ projections are given and several so constructed codes that have best known optimal parameters are introduced.
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页码：51 / 64
页数：13
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