Common coordinates in consecutive addresses

Ning Cai; Tolhuizen L.M.G.M.; Hollmann H.D.L.

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Common coordinates in consecutive addresses

机译：连续地址中的公共坐标

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摘要

We consider lists of distinct q-ary addresses of length n. We wish that any b consecutive addresses in such a list agree in many positions. We give upper bounds on what can be achieved. Moreover, for each q and n, we give explicit constructions of address lists, among which is the conventional q-ary reflected Gray code, that attain these bounds for all b simultaneously. This work has applications in address retrieval on optical disc.

机译：我们考虑长度为n的不同q元地址的列表。我们希望这样一个列表中的任何b个连续地址在许多位置上都可以一致。我们为可以实现的目标设定了上限。此外，对于每个q和n，我们给出地址列表的显式构造，其中包括常规q元反射的格雷码，该地址同时为所有b达到这些边界。这项工作在光盘上的地址检索中有应用。

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来源
《IEEE Transactions on Information Theory》 |2003年第12期|p.3308-3312|共5页
作者
Ning Cai; Tolhuizen L.M.G.M.; Hollmann H.D.L.;
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作者单位

Dept. of Inf. Eng., Chinese Univ. of Hong Kong, China;

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原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词
Gray codes; decoding; consecutive address common coordinates; address list construction; Gray codes; address retrieval; optical disc; address ordering;

机译：格雷码;解码;连续地址公共坐标;地址列表构造;格雷码;地址检索;光盘;地址排序;

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Common coordinates in consecutive addresses

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