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2002•Unpublished venueRequires access

Multiple error detection/correction using the Nordstrom-Robinson code

R. Klein, Murali R. Varanasi, Larry A. Dunning

Open publisher page 3 citations

Abstract

The non-linear Nordstrom-Robinson code of length 16 and minimum distance 6 has twice the codewords of any 16-bit linear code. The NR code is handled as though it were a linear code over Z/sub 4/ (the integers mod 4). Z/sub 4/ linearity is used here to evaluate the NR code itself along with the Hamming code and a (12, 8) used to detect 2-bit adjacent errors over 4-bit symbols.

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What this paper is about

The non-linear Nordstrom-Robinson code of length 16 and minimum distance 6 has twice the codewords of any 16-bit linear code. The NR code is handled as though it were a linear code over Z/sub 4/ (the integers mod 4). Z/sub 4/ linearity is used here to evaluate the NR code itself along with the Hamming code and a (12, 8) used to detect 2-bit adjacent errors over 4-bit symbols.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The non-linear Nordstrom-Robinson code of length 16 and minimum distance 6 has twice the codewords of any 16-bit linear code. The NR code is handled as though it were a linear code over Z/sub 4/ (the integers mod 4). Z/sub 4/ linearity is used here to evaluate the NR code itself along with the Hamming code and a (12, 8) used to detect 2-bit adjacent errors over 4-bit symbols.

Key concepts: Constant-weight code, Code (set theory), Cyclic code, Hamming code, Dual code, Polynomial code, Linear code, Linearity

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