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On the Maximality of the Group Theoretic Single Error Correcting and All Unidirectional Error Detecting (SEC-AUED) Codes

In: Sequences

Author

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  • Der Jei Lin

    (Oregon State University, Department of Computer Science)

  • Bella Bose

    (Oregon State University, Department of Computer Science)

Abstract

The analysis of the group theoretic single error correcting and all unidirectional error detecting (SEC-AUED) code is given in this paper. The formula of computing the size of the group theoretic code is presented and the maximal group theoretic codes, for a given weight and for all possible weights, are found. An upper bound on the size of any SEC-AUED code is also developed.

Suggested Citation

  • Der Jei Lin & Bella Bose, 1990. "On the Maximality of the Group Theoretic Single Error Correcting and All Unidirectional Error Detecting (SEC-AUED) Codes," Springer Books, in: Renato M. Capocelli (ed.), Sequences, pages 506-529, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-3352-7_40
    DOI: 10.1007/978-1-4612-3352-7_40
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