Title :
Improving the Alphabet-Size in Expander-Based Code Constructions
Author :
Rom, Eran ; Ta-Shma, Amnon
Abstract :
Various code constructions use expander graphs to improve the error resilience. Often the use of expanding graphs comes at the expense of the alphabet size. In this correspondence, we show that by replacing the balanced expanding graphs used in the above constructions with unbalanced dispersers the alphabet size can be dramatically improved
Keywords :
encoding; graph theory; code construction; expander graph; Computer science; Decoding; Error analysis; Error correction codes; Galois fields; Graph theory; Linear code; Read only memory; Reed-Solomon codes; Resilience; Disperser graphs; expander graphs; extractor codes; list decoding; randomness extractors;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.878166