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Block permutation coding of images using cosine transform
IEEE Transactions on Communications, 1995We present the theory and practice of permutation coding as a new tool for very low-bit-rate image compression. Conventional source coding deals with the data information of signals, while the permutation coding achieves compression through efficiently ...
Z. Ji, Katsumi Tanaka, S. Kitamura
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Rank permutation group codes based on Kendall's correlation statistic
IEEE Transactions on Information Theory, 1969A 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
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Sorting by Reversals, Generalized Transpositions, and Translocations Using Permutation Groups
J. Comput. Biol., 2010In this article, we consider the problem of sorting a linear/circular, multi-chromosomal genome by reversals, block-interchanges (i.e., generalized transpositions), and translocations (including fusions and fissions) where the used operations can be ...
Yen-Lin Huang, C. Lu
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Handbook of Computational Group Theory
, 2005History of Computational Group Theory BACKGROUND MATERIALS Fundamentals Group Actions Series Presentation of Groups Presentation of Subgroups Abelian Group Presentations Representation Theory, Modules, Extension, Derivations, and Complements Field Theory
D. Holt, B. Eick, E. O'Brien
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Symmetric-key encryption scheme based on the strong generating sets of permutation groups
2013 IEEE International Conference on Pervasive Computing and Communications Workshops (PERCOM Workshops), 2013In this article we expose a new field of application of such a classical method of computational group theory as the Sims' algorithm. We introduce a symmetric block encryption scheme based on a secret key which is a table of strong generators of a ...
A. Alexanyan, H. Aslanyan, J. Rolim
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Solving the Single-Row Facility Layout Problem by K-Medoids Memetic Permutation Group
IEEE Transactions on Evolutionary Computation, 2023The 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
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, 2007
Preface Representations, Functors and Cohomology Cohomology and Representation Theory Jon F. Carlson 1. Introduction 2. Modules over p-groups 3. Group cohomology 4. Support varieties 5. The cohomology ring of a dihedral group 6.
M. Geck, D. Testerman, J. Thévenaz
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Preface Representations, Functors and Cohomology Cohomology and Representation Theory Jon F. Carlson 1. Introduction 2. Modules over p-groups 3. Group cohomology 4. Support varieties 5. The cohomology ring of a dihedral group 6.
M. Geck, D. Testerman, J. Thévenaz
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Theory and Applications of Cellular Automata in Cryptography
IEEE Trans. Computers, 1994This paper deals with the theory and application of Cellular Automata (CA) for a class of block ciphers and stream ciphers. Based on CA state transitions certain fundamental transformations are defined which are block ciphering functions of the proposed ...
Sukumar Nandi, B. Kar, P. P. Chaudhuri
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On Permutation Capacity Regions of Multiple-Access Channels
International Symposium on Information TheoryPermutation networks and multiple-access channels (MACs) are objects of interest in modern information theory which find application in modeling biological storage mechanisms and wireless communication systems. In this paper, we present two variations of
William Lu, A. Makur
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Finite group algebras and their modules
, 1983Preface Part I. The Structure of Group Algebras: 1. Idempotents in rings. Liftings 2. Projective and injective modules 3. The radical and artinian rings 4. Cartan invariants and blocks 5. Finite dimensional algebras 6. Duality 7. Symmetry 8. Loewy series
P. Landrock
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