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About the linear complexity of quaternary sequences with even length. (English) Zbl 1453.94054
Summary: Several classes of quaternary sequences of even period with optimal autocorrelation have been constructed by Su et al. based on interleaving certain kinds of binary sequences of odd period, i.e. Legendre sequence, twin-prime sequence and generalized GMW sequence. In this correspondence, the exact values of linear complexity over finite field \(\mathbb{F}_4\) and Galois ring \(\mathbb{Z}_4\) of the quaternary sequences are derived, respectively.
MSC:
94A55 Shift register sequences and sequences over finite alphabets in information and communication theory
11T71 Algebraic coding theory; cryptography (number-theoretic aspects)
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