Title :
On the p-ranks and characteristic polynomials of cyclic difference sets
Author :
No, Jong-Seon ; Shin, Dong-Joon ; Helleseth, Tor
Author_Institution :
Sch. of EECS, Seoul Nat. Univ., South Korea
Abstract :
In this paper, the p-ranks and characteristic polynomials of cyclic difference sets are derived by expanding the trace expressions of their characteristic sequences. The 3-ranks and characteristic polynomials of Helleseth-Kumar-Martinsen (HKM) and Lin difference sets are obtained, and the characteristic polynomial of the Singer difference set is calculated.
Keywords :
information theory; polynomials; sequences; Helleseth-Kumar-Martinsen difference set; Lin difference set; Singer difference set; characteristic polynomials; characteristic sequences; cyclic difference sets; p-ranks; trace expressions; Informatics; Information theory; Polynomials;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023368
