Closed-Form Approximation of Maximum Free Distance for Binary Block Codes
Closed-Form Approximation of Maximum Free Distance for Binary Block Codes
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二进制分组码最大自由距离的闭式逼近
DOI:
10.1109/vetecf.2009.5378953
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发表时间:
2009
期刊:
影响因子:
--
通讯作者:
L. Hanzo
中科院分区:
文献类型:
--
作者:
J. Akhtman;R. Maunder;N. Bonello;L. Hanzo
We devise an analytically simple as well as invertible approximate expression, which describes the relation between the maximum free distance of a binary code and the corresponding maximum attainable code-rate. For example, for a half-rate, length-128 binary code the known bounds limit the maximum attainable free distance to $16<d(n=128,r=0.5)<32$, while our solution yields $d(n=128,r=0.5)\approx 22$. The results provided may be utilized for the design and characterization of efficient coding schemes.