NDLI: On symbol permutation invariant balanced codes

Content Provider	IEEE Xplore Digital Library
Author	Mascella, R. Tallini, L.G.
Copyright Year	2005
Description	Author affiliation: Dipartimento di Sci. della Comunicazione, Universita degli Studi di Teramo (Mascella, R.; Tallini, L.G.)
Abstract	A symbol permutation invariant balanced (SPI-balanced) code over the alphabet $ZZ_{m}$ = {0, 1,....,m - 1} is a block code over ZZ $_{m}$ such that each alphabet symbol occurs as many times as any other symbol in every codeword. For this reason every permutation among the symbols of the alphabet changes a SPI-balanced code into a SPI-balanced code. This means that SPI-balanced words are "the most balanced" among all possible m-ary balanced word types, and this property makes them very attractive from the application perspective. In particular, they can be used to achieve m-ary DC-free communication, to detect/correct asymmetric/unidirectional errors on the m-ary asymmetric/unidirectional channel, to achieve delay-insensitive communication, to maintain data integrity in digital optical disks, and so on. The paper gives some efficient methods to convert (encode) m-ary information sequences into m-ary SPI-balanced codes whose redundancy is equal to roughly double the minimum possible redundancy $r_{min}$ sime [(m - 1)/2] $log_{m}$ n - (1/2)[1 $$(1/log_{2pi}$ m)] m - $(1/log_{2pi}m)$ for SPI-balanced code with k information digits and length n = k + r. For example, the first method given in the paper encodes k information digits into a SPI-balanced code of length n = k + r, with r = (m - 1) $log_{m}$ k + O(m logm k). A second method is a recursive method, which uses the first as base code, and encodes k digits into a SPI-balanced code of length n = k + r, with r sime (m - 1) $log_{m}$ n $$log_{m}[(m$ - 1)!]
Starting Page	2100
Ending Page	2104
File Size	270541
Page Count	5
File Format	PDF
ISBN	0780391519
DOI	10.1109/ISIT.2005.1523716
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-09-04
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Delay Redundancy Block codes Error correction Digital communication Error correction codes Encoding
Content Type	Text
Resource Type	Article

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