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- W3099682685 abstract "A complete classification of the perfect binary one-error-correcting codes of length 15 as well as their extensions of length 16 is presented. There are 5983 such inequivalent perfect codes and 2165 extended perfect codes. Efficient generation of these codes relies on the recent classification of Steiner quadruple systems of order 16. Utilizing a result of Blackmore, the optimal binary one-error-correcting codes of length 14 and the (15, 1024, 4) codes are also classified; there are 38408 and 5983 such codes, respectively." @default.
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- W3099682685 date "2009-10-01" @default.
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- W3099682685 title "The Perfect Binary One-Error-Correcting Codes of Length <formula formulatype=inline><tex Notation=TeX>$15$</tex></formula>: Part I—Classification" @default.
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- W3099682685 doi "https://doi.org/10.1109/tit.2009.2027525" @default.
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