Title :
New Families of Codebooks Achieving the Levenstein Bound
Author :
Zhengchun Zhou ; Cunsheng Ding ; Nian Li
Author_Institution :
Sch. of Math., Southwest Jiaotong Univ., Chengdu, China
Abstract :
In this paper, a construction of codebooks based on a set of bent functions satisfying certain conditions is introduced. It includes some earlier constructions of codebooks meeting the Levenstein bound as special cases. With this construction, two new families of codebooks achieving the Levenstein bound are obtained. The codebooks constructed in this paper could have a very small alphabet size.
Keywords :
encoding; functions; Levenstein bound; bent functions; codebooks; small alphabet size; Correlation; Educational institutions; Electronic mail; Equations; Indexes; Vectors; Codebook; Levenstein bound; bent function; packing; signal set;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2014.2353052
