Title :
A new family of almost difference sets and some necessary conditions
Author :
Zhang, Yuan ; Lei, Jian Guo ; Zhang, Shao Pu
Author_Institution :
Dept. of Math., Shanghai Jiao Tong Univ., Shijiazhuang, China
fDate :
5/1/2006 12:00:00 AM
Abstract :
Almost difference sets have important applications in cryptography and coding theory. In this paper, new families of almost difference sets are constructed. Some necessary conditions for the existence of (v,k,λ,t)-almost difference sets in Zv are derived.
Keywords :
cryptography; encoding; set theory; almost difference sets; coding theory; cryptography; Codes; Cryptography; Electronic mail; Mathematics; Polynomials; Almost difference set; Hall polynomial; cyclotomic class; cyclotomy;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.872969
