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Rank permutation group codes based on Kendall's correlation statistic

IEEE Transactions on Information Theory, 1969
A coding scheme based on the properties of rank vectors is presented. The new codes are based on the theory of permutation groups by introducing a new notation for the group operation that simplifies the generation and decoding of desirable rank codes ...
H. Chadwick, L. Kurz
semanticscholar   +1 more source

Direct evaluation of elements of the representation matrices of the spin permutation group for transpositions

, 1979
Graphical methods of spin algebras are used to evaluate elements of the representation matrices of the spin permutation group for arbitrary transpositions. The matrix elements are evaluated directly; no matrix multiplication is required.
S. Wilson, J. Gerratt
semanticscholar   +1 more source

Permutation Group Algorithms

, 2003
1. Introduction 2. Black-box groups 3. Permutation groups: a complexity overview 4. Bases and strong generating sets 5. Further low-level algorithms 6. A library of nearly linear time algorithms 7. Solvable permutation groups 8. Strong generating tests 9.
Á. Seress
semanticscholar   +1 more source

The Number of Cycles Associated with the Elements of a Permutation Group

, 1953
Gontcharoff [1] has given several moment generating functions for the number of cycles associated with the elements of the permutation group on N symbols.
R. Greenwood
semanticscholar   +1 more source

Clebsch-Gordan coefficients for the permutation group

, 1981
A non-genealogical method is proposed for the reduction of the inner product representations of the permutation group SN. This method of determining the Clebsch-Gordan coefficients has been found to be recursive only within a given series.
G. G. Sahasrabudhe   +2 more
semanticscholar   +1 more source

PERMUTATION GROUPS

Group Theory for Physicists, 2019
Peter J. Cameron   +5 more
semanticscholar   +1 more source

Designing secure substitution boxes based on permutation of symmetric group

Neural computing & applications (Print), 2019
Amir Anees, Yi-Ping Phoebe Chen
semanticscholar   +1 more source

Non-Uniform Bounds in the Random-Permutation, Ideal-Cipher, and Generic-Group Models

IACR Cryptology ePrint Archive, 2018
Sandro Coretti, Y. Dodis, Siyao Guo
semanticscholar   +1 more source

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