Title :
A set of sequences over Z5 with period 21 including almost highest linear complexities
Author :
Kaida, Takayasu ; Zheng, Junru
Author_Institution :
Fac. of Humanity-Oriented Sci. & Eng., Kinki Univ., Fukuoka, Japan
Abstract :
A method of construction for non-binary periodic sequence with constant weight from cyclic difference set is proposed. Two numerical examples are given, and their distribution and some Hamming distance between self-cyclic shift and cross-cyclic shift of two sequences are evaluated. For a set of sequences over Z5 with period 21, we show that its elements have almost the highest linear complexities from second numerical example.
Keywords :
Hamming codes; binary sequences; cyclic codes; set theory; Hamming distance; cross-cyclic shift; cyclic difference set; linear complexity; nonbinary periodic sequence; self-cyclic shift; Dynamic range; Equations; Frequency; Harmonic distortion; Noise level; Signal analysis; Signal to noise ratio; Spectral analysis; Testing; Total harmonic distortion;
Conference_Titel :
Information Theory (ITW 2010, Cairo), 2010 IEEE Information Theory Workshop on
Conference_Location :
Cairo
Print_ISBN :
978-1-4244-6372-5
DOI :
10.1109/ITWKSPS.2010.5503132
