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<p><b>Abstract</b>—In this paper, a general method using the subsets (generating sets) of <it>GF</it>(2<super><it>b</it></super>) for constructing the S<it>b</it>EC-DED codes will be presented. The constructions given in [<ref rid="bibt05081" type="bib">1</ref>] are special cases of ours. For some values of <it>b</it>, the generating sets used in our constructions are larger than the cosets used in [<ref rid="bibt05081" type="bib">1</ref>]. Hence, a larger code length can be obtained.</p>
High-speed memories, byte error-correcting/detecting codes, companion matrix, primitive polynomials, subfields/cosets.

X. Shi, S. Xiao, T. Rao and G. Feng, "A Generalization of the Single b-Bit Byte Error Correcting and Double Bit Error Detecting Codes for High-Speed Memory Systems," in IEEE Transactions on Computers, vol. 45, no. , pp. 508-511, 1996.
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