IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
New Quaternary Sequences with Even Period and Three-Valued Autocorrelation
Jin-Ho CHUNGYun Kyoung HANKyeongcheol YANG
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2010 年 E93.A 巻 1 号 p. 309-315

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In this paper we present a construction method for quaternary sequences from a binary sequence of even period, which preserves the period and autocorrelation of the given binary sequence. By applying the method to the binary sequences with three-valued autocorrelation, we construct new quaternary sequences with three-valued autocorrelation, which are balanced or almost balanced. In particular, we construct new balanced quaternary sequences whose autocorrelations are three-valued and have out-of-phase magnitude 2, when their periods are N = pm - 1 and N ≡ 2 (mod 4) for any odd prime p and any odd integer m. Their out-of-phase autocorrelation magnitude is the known optimal value for N ≠ 2, 4, 8, and 16.
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© 2010 The Institute of Electronics, Information and Communication Engineers
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