Please use this identifier to cite or link to this item: https://doi.org/10.1109/18.681353
Title: Pattern distributions of legendre sequences
Authors: Ding, C. 
Keywords: Linear codes
Pattern distribution
Sequence
Weight distribution
Issue Date: 1998
Source: Ding, C. (1998). Pattern distributions of legendre sequences. IEEE Transactions on Information Theory 44 (4) : 1693-1698. ScholarBank@NUS Repository. https://doi.org/10.1109/18.681353
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
URI: http://scholarbank.nus.edu.sg/handle/10635/99377
ISSN: 00189448
DOI: 10.1109/18.681353
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

12
checked on Apr 10, 2018

WEB OF SCIENCETM
Citations

12
checked on Apr 10, 2018

Page view(s)

29
checked on Mar 12, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.