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Title: Pattern distributions of legendre sequences
Authors: Ding, C. 
Keywords: Linear codes
Pattern distribution
Weight distribution
Issue Date: 1998
Citation: Ding, C. (1998). Pattern distributions of legendre sequences. IEEE Transactions on Information Theory 44 (4) : 1693-1698. ScholarBank@NUS Repository.
Abstract: Legendre sequences have a number of interesting randomness properties and are closely related with quadratic residue codes. In this correspondence we give lower and upper bounds on the number of patterns distributed in a cycle of the Legendre sequences and establish the relationship between the weight distribution of quadratic residue codes and the pattern distribution of Legendre sequences. Our result shows that Legendre sequences have an ideal distribution of patterns of length s, when s is not large compared with log2 N, where N is the prime used to define the sequence. © 1998 IEEE.
Source Title: IEEE Transactions on Information Theory
ISSN: 00189448
DOI: 10.1109/18.681353
Appears in Collections:Staff Publications

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