On the Autocorrelation and Linear Complexity of Some 2p Periodic Quaternary Cyclotomic Sequences over F4

Pinhui KE  Zheng YANG  Jie ZHANG  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E94-A   No.11   pp.2472-2477
Publication Date: 2011/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.2472
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory
autocorrelation,  linear complexity,  quaternary sequence,  generalized cyclotomic sequences,  

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We determine the autocorrelations of the quaternary sequence over F4 and its modified version introduced by Du et al. [X.N. Du et al., Linear complexity of quaternary sequences generated using generalized cyclotomic classes modulo 2p, IEICE Trans. Fundamentals, vol.E94-A, no.5, pp.1214–1217, 2011]. Furthermore, we reveal a drawback in the paper aforementioned and remark that the proof in the paper by Kim et al. can be simplified.