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Cited by 2,186

The DOI matches its Crossref record.

Shift-register synthesis and BCH decoding

Massey, J.·1969·IEEE Transactions on Information Theory
DOI 10.1109/tit.1969.1054260
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Abstract

It is shown in this paper that the iterative algorithm introduced by Berlekamp for decoding BCH codes actually provides a general solution to the problem of synthesizing the shortest linear feedback shift register capable of generating a prescribed finite sequence of digits. The shift-register approach leads to a simple proof of the validity of the algorithm as well as providing additional insight into its properties. The equivalence of the decoding problem for BCH codes to a shift-register synthesis problem is demonstrated, and other applications for the algorithm are suggested.

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Metadata

Authors
Massey, J.
Venue
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
1969-01
Volume
15
Issue
1
Pages
122-127
ISSN
  • 0018-9448 (ISSN-L)
  • 1557-9654
DOI
10.1109/tit.1969.1054260
OpenAlex
W2162442687
Cited by
2,186
References
0
FWCI
5.74
Type
journal article
Language
en
Open access
closed

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.