On Completely Regular Codes


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This work is a survey on completely regular codes. Known properties, relations with other combinatorial structures, and construction methods are considered. The existence problem is also discussed, and known results for some particular cases are established. In addition, we present several new results on completely regular codes with covering radius ρ = 2 and on extended completely regular codes.

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J. Borges

Department of Information and Communications Engineering, School of Engineering

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Email: joaquim.borges@uab.cat
西班牙, Barcelona

J. Rifà

Department of Information and Communications Engineering, School of Engineering

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Email: josep.rifa@uab.cat
西班牙, Barcelona

V. Zinoviev

Kharkevich Institute for Information Transmission Problems

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Email: zinov@iitp.ru
俄罗斯联邦, Moscow

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