In this letter, we present two new families of balanced quaternary sequences of period N = 2 p with optimal three-level autocorrelation, where p = 4f + 1 is an odd prime and has a quadratic partition of form either p = 4y(2) + 1 (y is even) or p = 4+x(2) (x is odd). Our construction is based on the Chinese remainder theorem and cyclotomic classes of order four.
机构:
Yaroslav The Wise Novgorod State Univ, Dept Appl Math & Informat, Veliky Novgorod 173003, RussiaYaroslav The Wise Novgorod State Univ, Dept Appl Math & Informat, Veliky Novgorod 173003, Russia
机构:
Northwest Univ, Res Ctr Number Theory & Its Applicat, Xian 710127, Peoples R ChinaNorthwest Univ, Res Ctr Number Theory & Its Applicat, Xian 710127, Peoples R China
Jing, Xiaoyan
Xu, Zhefeng
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机构:
Northwest Univ, Res Ctr Number Theory & Its Applicat, Xian 710127, Peoples R ChinaNorthwest Univ, Res Ctr Number Theory & Its Applicat, Xian 710127, Peoples R China