Title :
Knuth´s Balanced Codes Revisited
Author :
Weber, Jos H. ; Immink, Kees A Schouhamer
Author_Institution :
IRCTR/CWPC, Delft Univ. of Technol., Delft, Netherlands
fDate :
4/1/2010 12:00:00 AM
Abstract :
In 1986, Don Knuth published a very simple algorithm for constructing sets of bipolar codewords with equal numbers of ¿1¿s and ¿-1¿s, called balanced codes. Knuth´s algorithm is well suited for use with large codewords. The redundancy of Knuth´s balanced codes is a factor of two larger than that of a code comprising the full set of balanced codewords. In this paper, we will present results of our attempts to improve the performance of Knuth´s balanced codes.
Keywords :
channel capacity; codes; Knuth balanced codes; bipolar codewords; channel capacity; constrained code; magnetic recording; optical recording; Channel capacity; Cryptography; Decoding; Information theory; Magnetic recording; Optical receivers; Optical recording; Turing machines; Ultraviolet sources; Balanced code; channel capacity; constrained code; magnetic recording; optical recording;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2010.2040868