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Covering machines. (English) Zbl 0754.94006

Summary: We construct 2-state converging machines from binary linear codes with a sufficiently rich subcode structure. The goal is to trade multiple covering properties for increased redundancy. We explain why the expected covering properties of covering machines should be superior to those of codes obtained by iterating the ADS construction.

MSC:

94B05 Linear codes (general theory)
94B25 Combinatorial codes
Full Text: DOI

References:

[1] Calderbank, A. R., Covering bounds for codes, J. Combin. Theory Ser. A, 60, 117-122 (1992) · Zbl 0744.94026
[2] Calderbank, A. R.; Fishburn, P. C., The second moment of a convolutional code (1991), Preprint · Zbl 0803.94020
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[5] Simonis, J., The minimal covering radius \(t\)[15,6] of a six-dimensional binary linear code of length 15 is equal to 4, IEEE Trans. Inform. Theory, 34, 1344-1345 (1988) · Zbl 0665.94012
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