Proceedings of the 1999 IEEE Information Theory and Communications Workshop (Cat. No. 99EX253)
DOI: 10.1109/itcom.1999.781448
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Abstract: In this paper we investigate &-linear and &-linear lifts' of the extended binary and ternary Golay codes. Following the line of a recent work [4] we introduce weight functions on Z4 and Zg which reflect previously unknown error-correcting and packing capabilities of these codes. We compare their properties with those of the Hamming, Lee and homogeneous weight (as presented in [5]) and give algebraic decoding schemes using the general decoder presented in [3] and the algebraic decoder in [l]. In the following w… Show more

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