Title :
Unimodular perfect sequences of length ps
Author :
Gabidulin, Ernst M. ; Shorin, Vitaly V.
Author_Institution :
Moscow Inst. of Phys. & Technol., State Univ., Moscow, Russia
fDate :
3/1/2005 12:00:00 AM
Abstract :
A new class of unimodular perfect sequences of length ps, where p is a prime, is proposed. An explicit secondary construction is provided. This construction includes most of the previously known unimodular perfect sequences of length ps as special cases. Also the proposed construction is extended to sequences with autocorrelation over Zspk, Vm2×Zpm1, Vk.
Keywords :
correlation theory; sequences; DFT; PSK; discrete Fourier transform; explicit secondary construction; periodic autocorrelation function; phase-shift keyed; unimodular perfect sequences; Autocorrelation; Cryptography; Encyclopedias; Error correction; Error correction codes; Galois fields; Jacobian matrices; Mathematics; Milling machines; Notice of Violation; Correlation; generalized bent; generalized unimodular perfect sequence; phase-shift keyed (PSK); unimodular perfect sequence;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.842720