Abelian groups are quite useful concept in mathematics. They are used in number theory, cryptography, and the study of symmetry, etc. In fact, many of the groups we encounter in everyday mathematics are Abelian, which is why they are so commonly discussed in discrete math courses. ...
Equality of two permutations Let,fandgbe two permutation on aX. Thenf = gif onlyif f(x) = g(x) for all x in X. Example Let, f and g be given by: f = 1 2 3 4 g = 3 2 1 4 2 3 4 1 4 3 2 1 Evidently f (1) = 2 = g(1), f (2) = 3 = g(2) f(3) = ...
Preparations for the working group on discrete mathematics were made in such a way that the group as a whole could be split into two sub-groups to examine different aspects of the field. In the event, members interests were almost entirely directed towards that aspect seen as particularly ...
DISCRETEMATHEMATICSANDITS APPLICATIONSSeries EditorKenneth H.Rosen, Ph.D.Charles J.Colbourn and Jeffrey H.Dinitz, The CRC Handbook of CombinatorialDesignsCharalambos A.Charalambides, Enumerative CombinatoricsSteven Furino, Ying Miao, and Jianxing Uses, Constructions, and ExistenceRandy Goldberg and Lance Ri...
the more mathematical structure one is able to add to a system, the better are the descriptions one obtains: Changing from codes to linear codes, it is no longer necessary to compute all distances between any two codewords, only the codeword weights, in order to find the minimum distance....
Low minor 5-stars in 3-polytopes with minimum degree 5 and no 6-vertices Discrete Mathematics, Volume 340, Issue 7, 2017, pp. 1612-1616 O.V. Borodin,…, D.V. Nikiforov View PDF On the set of uniquely decodable codes with a given sequence of code word lengths Discrete Mathematics, Vo...
苄氧羰基carboxy group羧基central group中央细胞群chain group链群character group【数】特征标群Chemung group【地质 】合蒙群chromophore group发色团, 生色团chromophoric group发色团class group类群classical groups典型群classical linear group典型线性群closed group闭群code group【信】码群coefficient gr...
Discrete Mathematics 5 (1973), North-Holland Publishing Company. Construction of defining relators for finite groups. p105-129 generatorsGLnq D.E.Taylor. Pairs of Generators for Matrix Groups. Department of Pure Mathematics The University of Sydney Australia 2006. arXiv:2201.09155v1 Groups and ...
[3] gave a system theory for left D2n-code over finite field Fq when gcd (n,q) = 1 and obtained a complete description for left D2n-code over Galois rings GR(p2,n) in [5] when gcd (n,p) = 1. And they [4] investigated the left quaternion codes in [4] over finite field ...
In general, let B be a linear MDS q-ary code with t=qr codewords of length N. We identify B with the N×t matrix whose columns {bv(i)}v=0t−1 where 1⩽i⩽N are the codewords of B. Then B is concatenated into a binary qN×t matrix B′ by replacing each q-ary ...