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タイトル A Linear Programming Bound for Unequal Error Protection Codes
著者 斉藤友彦 、浮田善文 、松嶋敏泰 、平澤茂一
年度 2009
形式 国際学会
分野 通信路符号化
掲載雑誌名 Proceedings of the 2010 Australian Communications Theory Workshop
掲載号・ページ pp.24-29, Canberra, Australia
掲載年 2010
掲載月
アブスト
(日本語)
学会名:2010 Australian Communications Theory Workshop (AusCTW 2010)
日程:2-5 February 2010
場所:Canberra, Australia
アブスト
(英語)
In coding theory, it is important to calculate an upper bound for the size of codes given the length and minimum distance. The Linear Programming (LP) bound is known as a good upper bound for the size of codes. On the other hand, Unequal Error Protection (UEP) codes have been studied in coding theory. In UEP codes, a codeword has special bits which are protected against a greater number of errors than other bits. In this paper, we propose a LP bound for UEP codes. Firstly, we generalize the distance distribution (or weight distribution) of codes. Under the generalization, we lead to the LP bound for UEP codes. And we show a numerical example of the LP bound for UEP codes. Lastly, we compare the proposed bound with a modified Hamming bound.
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