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On the lattice basis reduction multisequence synthesis algorithm

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3 Author(s)
Li-Ping Wang ; State Key Lab. of Inf. Security, Acad. Sinica, Beijing, China ; Yue-Fei Zhu ; Ding-Yi Pei

A lattice basis reduction multisequence synthesis (LBRMS) algorithm was presented with a new, intuitive and vector-form model. In this paper, a refined version of the LBRMS algorithm is deduced, from which Massey's conjectured algorithm can be derived. Moreover, if we modify the lattice basis reduction algorithm used in the LBRMS algorithm, a new synthesis algorithm is deduced, which is equivalent to the generalization of the Berlekamp-Massey algorithm proposed by Feng and Tzeng (1989). Therefore, the LBRMS algorithm provides a unified approach to the multisequence shift-register synthesis problem.

Published in:

Information Theory, IEEE Transactions on  (Volume:50 ,  Issue: 11 )

Date of Publication:

Nov. 2004

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