Communications - Scientific Letters of the University of Zilina 2000, 2(2):61-63 | DOI: 10.26552/com.C.2000.2.61-63

Two new best [27,10,9 ] codes

Peter Farkas1, Sergio Herrera-Garcia2
1 Department of Telecommunications, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Slovak Republic
2 CITEDI-IPN Research Center and CONACyT, San Diego, CA, USA

This paper presents two new [27,10,9] binary linear block codes which reach the upper bound in [1] for best known codes. They have different spectra as the known [27,10,9] codes constructed by Piret [2], Farkaš and Juling [5].

Keywords: block codes, Hamming distance, weight spectrum, generator matrix

Published: June 30, 2000  Show citation

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Farkas, P., & Herrera-Garcia, S. (2000). Two new best [27,10,9 ] codes. Communications - Scientific Letters of the University of Zilina, 2(2), 61-63. doi: 10.26552/com.C.2000.2.61-63
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    References

    1. BROUWER, A. E., VERHOEFF, T.: An Updated Table of Minimum - Distance Bounds for Binary Linear Code. In: IEEE Trans. Inform. Theory, IT-39, 1993, no. 2, pp. 662-677. Go to original source...
    2. PIRET, P.: Good linear codes of lengths 27 and 28. In: IEEE Trans. on Inform. Theory, IT-26, 1980, pp. 227. Go to original source...
    3. FARKAŠ, P., SMIRNOV, A. S., SOTSKOV, J. V.: Lineárne kódy opravujúce mnohonásobné chyby. In: Informačné systémy, vol. 14, 1986, no. 5, pp. 533-542.
    4. FARKAŠ, P., BRUEHL, K.: Three Best Binary Linear Block Codes of Minimum Distance Fifteen. In: IEEE Trans. on Inform. Theory, IT-40, 1994, no. 3, pp. 949-951. Go to original source...
    5. FARKAŠ, P, JULING W.: Five New Best [27,10,9] Codes. In: International Journal of Electronics and Communications, (AEU), vol. 48, 1994, no. 2, pp. 115-116.

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