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  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 ) and give algebraic decoding schemes using the general decoder presented in  and the algebraic decoder in [l]. In the following w… Show more
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