Permutation group entropy: A new route to complexity for real-valued processes.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0113335
Abstract: This is a review of group entropy and its application to permutation complexity. Specifically, we revisit a new approach to the notion of complexity in the time series analysis based on both permutation entropy and… read more here.
Keywords: permutation group; permutation; entropy new; group entropy ... See more keywords
The Generation of $(n,n(n-1),n-1)$ Permutation Group Codes for Communication Systems
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Communications"
DOI: 10.1109/tcomm.2019.2902149
Abstract: This paper concerns the construction and hardware execution of (n, n(n-1), n-1) permutation group codes (PGCs) for communication systems. Cyclic shift techniques acting on a permutation, including cyclic shift operators and their compound functions (CFs),… read more here.
Keywords: communication systems; cyclic shift; permutation; permutation group ... See more keywords
A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group
Sign Up to like & getrecommendations! Published in 2020 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0222
Abstract: Abstract We show that there exists a constant a such that, for every subgroup H of a finite group G, the number of maximal subgroups of G containing H is bounded above by a|G:H|3/2{a\lvert G:H\rvert^{3/2}}.… read more here.
Keywords: maximal systems; group; permutation group; number maximal ... See more keywords