A CLASS OF QUATERNARY SEQUENCES WITH LOW CORRELATION

作者:Li Nian*; Tang Xiaohu; Helleseth Tor
来源:Advances in Mathematics of Communications, 2015, 9(2): 199-210.
DOI:10.3934/amc.2015.9.199

摘要

A class of quaternary sequences S-lambda had been proven to be optimal for some special values of lambda. In this note, S-lambda is investigated for all lambda by virtue of the Z(4)-valued quadratic forms over Galois rings. As a consequence, a new class of quaternary sequences with low correlation is obtained and the correlation distribution is also completely determined. It also turns out that the known optimal quaternary sequences S-lambda for particular lambda can be easily obtained from our approach.

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