An Ergodic Theory of Binary Operations—Part II: Applications to Polarization
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2016.2617958
Abstract: An open problem in polarization theory is to determine the binary operations that always lead to polarization (in the general multilevel sense) when they are used in Arıkan style constructions. This paper, which is presented… read more here.
Keywords: binary operations; part; theory; polarization ... See more keywords
An Algorithmic Reduction Theory for Binary Codes: LLL and More
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3143620
Abstract: In this article, we propose an adaptation of the algorithmic reduction theory of lattices to binary codes. This includes the celebrated LLL algorithm (Lenstra, Lenstra, Lovasz, 1982), as well as adaptations of associated algorithms such… read more here.
Keywords: binary codes; theory; theory binary; reduction theory ... See more keywords