A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

In this paper, a class of two-weight and three-weight linear codes over GF(p) is constructed, and their application in secret sharing is investigated. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes. These codes have applications also in authe...

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Veröffentlicht in:IEEE transactions on information theory 2015-11, Vol.61 (11), p.5835-5842
Hauptverfasser: Ding, Kelan, Ding, Cunsheng
Format: Artikel
Sprache:eng
Schlagworte:
Additives
Association schemes
Authentication
authentication codes
Construction
Consumer electronics
Consumption
Cryptography
Data storage
Data storage systems
Electronics
Generators
Graphs
Information theory
Linear codes
Optimization
secret sharing schemes
strongly regular graphs
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Zusammenfassung:In this paper, a class of two-weight and three-weight linear codes over GF(p) is constructed, and their application in secret sharing is investigated. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes. These codes have applications also in authentication codes, association schemes, and strongly regular graphs, in addition to their applications in consumer electronics, communication and data storage systems.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2015.2473861