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(n, n(n-1), n-1) Permutation group codes

open access: yesElectronics Letters, 2016
Two different subgroups C n and L n of symmetric group S n are first designed and then to construct a family of permutation group codes P n with code length n, minimum Hamming distance n − 1, cardinalityn(n − 1) and error-correcting capability n − 2 is ...
Li Peng
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Solving the Single-Row Facility Layout Problem by K-Medoids Memetic Permutation Group

IEEE Transactions on Evolutionary Computation, 2023
The single-row facility layout problem (SRFLP) is concerned with arranging facilities along a straight line so as to minimize the sum of the products of the flow costs and distances among all facility pairs.
Lixin Tang, Zuo-cheng Li, Jin-Kao Hao
semanticscholar   +1 more source

Generating Permutation Groups

Communications in Algebra, 2004
Abstract In this paper an algorithm is produced, which, given a permutation group G of degree n > 3, outputs a generating set for G with at most n/2 elements.
A. Lucchini, F. Menegazzo, MORIGI, MARTA
openaire   +2 more sources

On the diameter of permutation groups

Proceedings of the fifteenth annual ACM symposium on Theory of computing - STOC '83, 1983
Computer Science ...
James R. Driscoll, Merrick L. Furst
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Application of Permutation Group Theory in Reversible Logic Synthesis

International Workshop on Reversible Computation, 2015
The paper discusses various applications of permutation group theory in the synthesis of reversible logic circuits consisting of Toffoli gates with negative control lines.
D. Zakablukov
semanticscholar   +1 more source

Permutability in uncountable groups

Annali di Matematica Pura ed Applicata (1923 -), 2018
A subgroup X of a group G is called permutable if $$XY=YX$$ for all subgroups Y of G. It is well known that permutable subgroups play an important role in many problems in group theory, and the purpose of ...
Maria De Falco   +3 more
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Isometries for rank distance and permutation group of Gabidulin codes

IEEE Transactions on Information Theory, 2003
The rank distance was introduced by E.M. Gabidulin (see Probl. Pered. Inform., vol.21, p.1-12, 1985). He determined an upper bound for the minimum rank distance of a code.
T. Berger
semanticscholar   +1 more source

Free Wreath Product by the Quantum Permutation Group

, 2001
Let A be a compact quantum group, let n∈N* and let Aaut(Xn) be the quantum permutation group on n letters. A free wreath product construction A*wAaut(Xn) is introduced.
J. Bichon
semanticscholar   +1 more source

The permutation group of affine-invariant extended cyclic codes

IEEE Transactions on Information Theory, 1996
The extended cyclic codes of length p/sup m/, p is a prime, which are invariant under the affine-group acting on F/sub pm/, are called affine-invariant codes.
T. Berger, P. Charpin
semanticscholar   +1 more source

The Parallel Complexity of Abelian Permutation Group Problems

SIAM journal on computing (Print), 1987
We classify Abelian permutation group problems with respect to their parallel complexity. For such groups specified by generating permutations we show that testing membership, computing order and testing isomorphism are $NC^1 $-equivalent to (and ...
P. McKenzie, S. Cook
semanticscholar   +1 more source

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