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A Quadriphase Sequence Pair Whose Aperiodic Auto/Cross-Correlation Functions Take Pure Imaginary Values
Shinya MATSUFUJI Naoki SUEHIRO Noriyoshi KUROYANAGI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1999/12/25
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Spread Spectrum Techniques and Applications)
complementary sequences, bent function, correlation, sequence design, spread spctrum communication,
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This paper presents a quadriphase sequence pair, whose aperiodic auto-correlation functions for non-zero shifts and cross-one for any shift take pure imaginary values. Functions for pairs of length 2n are formulated, which map the vector space of order n over GF(2) to Z4. It is shown that they are bent for any n, such that their Fourier transforms take all the unit magnitude.