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A construction method for m-ary unidirectional error control codes

Application for m-ary Berger check to asymmetric error control codes

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 508))

Abstract

Unidirectional error control codes have been studied extensively for application to VLSI memories. Also, studies on multiple-valued logic and memories received considerable attention since by employing multi-valued (m-ary) symbol representation, one can drastically reduce the interconnection area in VLSI chips as compared to the binary representation which requires more than 70% chip area for interconnection. In this context, m-ary unidirectional error control codes will be of great importance in improving reliability of such multiple-valued logic and memory systems.

In this paper, we propose a new construction method for m-ary t-unidirectional error correcting and all-unidirectional error discriminating (-UEC & all-UEDis)codes. We first show that a t-UEC & all-UEDis code can be characterized as a t-asymmetric error correcting (t-AEC) code with an added capability for discriminating errors between positive errors and negative errors. Noting this fact, we propose a simple construction method for t-UEC & all-UEDis codes starting from m-ary t-AEC codes.

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Shojiro Sakata

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© 1991 Springer-Verlag Berlin Heidelberg

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Ahn, T.N., Sakaniwa, K., Rao, T.R.N. (1991). A construction method for m-ary unidirectional error control codes. In: Sakata, S. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1990. Lecture Notes in Computer Science, vol 508. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54195-0_40

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  • DOI: https://doi.org/10.1007/3-540-54195-0_40

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54195-0

  • Online ISBN: 978-3-540-47489-0

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