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2 edition of Equidistant permutation arrays found in the catalog.

Equidistant permutation arrays

Alireza Mahmoodi

Equidistant permutation arrays

by Alireza Mahmoodi

Published by University of Toronto, Dept. of Computer Science in Toronto .
Written in English

Edition Notes

Thesis (M.Sc.)--University of Toronto, 1991.

 ID Numbers Statement Alireza Mahmoodi. Open Library OL18627978M

Linear Algebra/The Permutation Expansion. From Wikibooks, open books for an open world These summarize the notation used in this book for the - and - permutations. Find the sum of the determinants of these arrays. Problem Show that. Huczynska S () Equidistant frequency permutation arrays and related constant composition codes, Designs, Codes and Cryptography, , (), Online publication date: 1-Feb Hou J and Lee M Cocyclic jacket matrix with public key security protocol for wireless rural network Proceedings of the first international conference on.

Author: Jens G. Balchen Introduction A permutation, by dictionary standards, is an ordered arrangement of a set of objects, and permutating is the act or process of changing the lineal order of an ordered set of other words, it's re-ordering the elements of a list, like an array. So how is this valuable? unbiased generation of a random permutation by a computer was given by Dursten-feld () . Note that Knuth [13, alg. P, sect. ] attributes the algorithm to Fisher and Yates () . The problem of generating random permutations in external memory is treated in  (). An algorithm for cyclic permutations wasFile Size: KB.

two-dimensional arrays, equidistant letter sequences spelling words with related meanings often appear in close proximity. Quantitative tools for measuring this phenomenon are developed. Randomization analysis shows that the e ect is signi cant at the level of " In a more familiar way of saying: \In the book.   Properties of the enumerated designs, such as automorphism groups, resolutions and contracted designs are tabulated. Also described are applications to group divisible designs, multi-dimensional Howell cubes, generalized Room squares, equidistant permutation arrays, and doubly resolvable two-fold triple systems.

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Modelling Equidistant Frequency Permutation Arrays: An Application of Constraints to Mathematics. Abstract. Equidistant Frequency Permutation Arrays are combinatorial objects of interest in coding theory. A frequency permutation array is a type of constant composition code in which each symbol occurs the same number of times in each by:   An equidistant permutation array is a collection of permutations on n elements, every pair of which is at distance μ.

A permutation graph G(n,μ) is a graph with vertex set comprising all permutations on n elements, and edges between each pair of permutations at distance by: 1. A note on equidistant permutation arrays. Pages Eggleton, R. (et al.) Preview. The combinatorics of algebraic graph theory in theoretical physics.

Pages Book Title Combinatorial Mathematics Book Subtitle Proceedings of the International Conference on Combinatorial Theory, Canberra, August 16 - 27, Editors.

An equidistant permutation array is a ν × r array A(r, λ;ν) defined on a r-set X such that every row of A is a permutation of X and any two distinct rows agree in precisely λ common columns. Equidistant Frequency Permutation Arrays are combinatorial objects of interest in coding theory.

A frequency permutation array is a type of constant composition code in which each symbol occurs the same number of times in each codeword. Abstract Equidistant Frequency Permutation Arrays are combinatorial objects of interest in coding theory. A frequency permutation array is a type of constant composition code in which each symbol occurs the same number of times in each codeword.

Abstract Equidistant Frequency Permutation Arrays are combinatorial objects of interest in coding theory. A frequency permutation array is a type of constant composition code in which each symbol occurs the same number of times in each codeword.

The problem is to ﬁnd a set of codewords such that any pair of code-Cited by: Equidistant Frequency Permutation Arrays are combinatorial objects of interest in coding theory. A frequency permutation array is a type of constant composition code in which each symbol occurs.

INTRODUCTION An equidistant permutation array (EPA) is a v x r array in which every row is a permutation of the integers 1, 2, r and every pair of distinct rows has precisely A columns in common. We denote such an array by A(r, A; v) and call A the index of the by: 5.

Some good books are: * Combinatorics: Topics, Techniques, Algorithms (Cameron): This is the best book for one who has at least little exposure to mathematics (say read mathematics of 10th standard) * Concrete Mathematics (Graham, Knuth, Patashnik). Title: Permutation Arrays Under the Chebyshev Distance.

Authors: Torleiv Kløve, Te-Tsung Lin, Shi-Chun Tsai, Wen-Guey Tzeng (Submitted on 15 Jul ) Abstract: An (n,d) permutation array (PA) is a set of permutations of length n with the property that the distance (under some metric) between any two permutations in the array is at least d Author: Torleiv Kløve, Te-Tsung Lin, Shi-Chun Tsai, Wen-Guey Tzeng.

To generate one permutation use e and store a copy of the result. Repeat this operation in a loop and each time check for duplicates (there probably won't be any though). Once you have items in your result set, stop. Colourings of Circuits -Dick Wick Hall. A General Construction for Equidistant Permutation Arrays -Katherine Heinrich, G.H.J.

van Rees and W.D. Wallis. J-Components, Bridges, and I- Fragments - Arthur M. Hobbs. Hamilton Cycles in Regular Two-Connected Graphs -Bill Jackson. Abstract. Equidistant Frequency Permutation Arrays are combinatorial objects of interest in coding theory.

A frequency permutation array is a type of constant composition code in which each symbol occurs the same number of times in each codeword. It is known that permutation arrays may be constructed using latin squares (see  and ). Frequency permutation arrays are related to frequency squares as permutation arrays are to latin squares, and this connection may be exploited to obtain a construction for FPAs.

Recall that a latin square of order n is an n × n array in which n distinct. Equidistant Letter Sequences in the Book of Genesis Doron Witztum, Eliyahu Rips and Yoav Rosenberg.

Abstract. It has been noted that when the Book of Genesis is written as two-dimensional arrays, equidistant letter sequences spelling words with related meanings often appear in. A General Construction for Equidistant Permutation Arrays KATHERINE HEINRICH, G.

VAN REES, and W. WALLIS /-Components, Bridges, and /-Fragments ARTHUR M. HOBBS Hamilton Cycles in Regulär Two-Connected Graphs BILL JACKSON Representations of Matroids CHRISTOPHER LANDAUER On Some Generalizations of Partial Geometry ORTHOGONAL GENERALIZED ROOM SQUARES 85 An equidistant permutation array (E.P.A.) is a v X r array A(r, A: v) such that every row is a permutation of a set of I symbols and any two distinct rows have precisely A common column by: 4.

When associative arrays were introduced in AutoCADmany reviewers were startled to see that the dialog box used for simple arrays had gone away and seemed to be replaced by command line input, just like the good old days.

The disadvantage to command line input is that you must follow a step-by-step sequence, and [ ]. Equidistant Letter Sequences in the Book of Genesis Doron Witztum, Eliyahu Rips and Yoav Rosenberg Abstract.

It has been noted that when the Book of Genesis is written as two -dimensional arrays, equidistant letter sequences spelling words with related meanings often appear in close proximity.

Quantitative tools for. Efforts to extract hidden in- formation from the Bible are as old as the Bible itself. One method is the use of equidistant letter sequences (ELSs), or skip codes: Start with a given letter in the text, and then repeatedly skip a fixed number of letters, ignoring spaces between words.The permutation of a list of n string arrays s1, s2,sN is equal to every member of sA1 prefixed to the permutation of n-1 string arrays, s2,sN.

The base case is just there to provide something for each element of sN to be concatenated to.Permutation Sequence 描述. The set [1,2,3,n] contains a total of n! unique permutations.

By listing and labeling all of the permutations in order, We get the following sequence (ie, for n = 3): "" "" "" "" "" "" Given n and k, return the kth permutation sequence. Note: Given n will be between 1 and 9 inclusive. 分析.