Title :
New families of unimodular perfect sequences of prime length based on Gaussian periods
Author :
Gabidulin, Ernst M. ; Shorin, Vitaly V.
Author_Institution :
Moscow Inst. of Phys. & Technol., Dolgoprudnyi, Russia
Abstract :
We propose new equivalence classes based on Gaussian periods. For p of the form p=3f+1 two infinite families are described. We give also the complete classification of all perfect sequences of length 13.
Keywords :
equivalence classes; information theory; sequences; Gaussian periods; equivalence classes; infinite families; prime length sequences; unimodular perfect sequences; Autocorrelation; Differential equations; Phase shift keying; Physics; Polynomials;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023340