NDLI: Moment Balancing Templates for <formula formulatype=inline> <tex Notation=TeX>$(d,k)$</tex></formula>-Constrained Codes and Run-Length Limited Sequences

Content Provider	IEEE Xplore Digital Library
Author	Ling Cheng Ferreira, H.C. Broere, I.
Copyright Year	1963
Abstract	The first-order moment of (d, k)-constrained codes is investigated in this paper. A generalized moment balancing template is proposed to encode a (d, k) sequence into a single insertion or deletion correcting codeword without losing the constraint property. By relocating 0's in moment balancing runs, which appear in a pairwise manner of a (d, k) sequence, the first-order moment of this sequence can be modified to satisfy the Varshamov-Tenengolts construction. With a reasonably large base in the modulo system introduced by the Varshamov-Tenengolts construction, this generalized moment balancing template can be applied to run-length limited sequences. The asymptotic bound of the redundancy introduced by the template for (d, k) sequences is of the same order as the universal template for random sequences and, therefore, the redundancy is small and suitable for long sequences of practical interest.
Sponsorship	IEEE Information Theory Society
Starting Page	2244
Ending Page	2252
Page Count	9
File Size	232437
File Format	PDF
ISSN	00189448
Volume Number	58
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Redundancy Transforms Error correction codes Educational institutions Encoding Modulation Binary codes run-length limited sequence $(d,k)$-constrained code insertions/deletions moment balancing template number-theoretic codes
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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