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On efficient balanced codes

Published: 01 February 1987 Publication History

Abstract

Balanced codes have the property that no codeword is “contained” in another. This property makes balanced codes attractive for certain applications, such as the encoding of unchangeable data on a laser disk. Donald E. Knuth [1] described a balanced code with 2p information bits and p parity bits, for which serial encoding and decoding is especially efficient. In order to encode and decode efficiently, he constructed a suitable mapping for p = 8. The purpose of this paper is to construct a similar mapping for every p.

References

[1]
Donald E.Knuth,Efficient balanced codes, IEEE Transaction on Information Theory,vol.IT-32(1986) 51-53.
[2]
E.L.Leiss,Data integrity .in digital optical disks, IEEE Transaction on Computer,vol. C-33(1984) 818-827.

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cover image ACM Conferences
CSC '87: Proceedings of the 15th annual conference on Computer Science
February 1987
473 pages
ISBN:0897912187
DOI:10.1145/322917
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 February 1987

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