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Common coordinates in consecutive addresses

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3 Author(s)
Ning Cai ; Dept. of Inf. Eng., Chinese Univ. of Hong Kong, China ; Tolhuizen, L.M.G.M. ; Hollmann, H.

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.

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Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 12 )