Articles with "hamming weights" as a keyword



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Notes on generalized Hamming weights of some classes of binary codes

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Published in 2019 at "Cryptography and Communications"

DOI: 10.1007/s12095-019-00404-3

Abstract: Some classes of binary codes constructed by using some defining sets are studied, and for most defining sets, we will determine the generalized Hamming weight of the corresponding codes completely, and for other defining sets,… read more here.

Keywords: binary codes; classes binary; notes generalized; defining sets ... See more keywords
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On the Inverses and Their Hamming Weights of Known APN, 4-Differentially Uniform and CPP Exponents Over F₂ⁿ

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Published in 2023 at "IEEE Transactions on Information Theory"

DOI: 10.1109/tit.2022.3231824

Abstract: This article was initially motivated by an interesting work of Kyureghyan and Suder, in 2014, whereas an open problem it was stated to express the Hamming weights of the inverses of Kasami exponent $2^{2k}-2^{k}+1$ modulo… read more here.

Keywords: hamming weights; inline formula; tex math;