Using this method we construct many Euclidean and Hermitian self-dual MDS (or near MDS) codes of length up to 12 over various finite fields GF( q), where q=8,9,16,25,32,41,49,53,64,81, and 128. Our results on the minimum weights of (near) MDS self-dual codes over large ...
In this paper we prove that the ring R=Z8[X]/ is a local ring with unique maximal ideal, thereby implying that R is not a principal ideal ring. We also prove that cyclic codes of length 2k over Z8 are generated as ideals by at most three elements....
A self-adjoint operator has a Hermitian matrix representation in which the Hermitian matrix is equal to the complex conjugate of its transpose in which the matrix rows and columns are exchanged. The Hermitian matrix representation of A^, the conjugate transpose, is (90)A^+=A^T∗. The matri...
has dual minimum distance 6. As before, let X be the 13 points which are the columns of the matrix G. The dimension of HF(X) is 36, so X imposes 13 conditions on the space of Hermitian forms. Theorem 9 implies that dimP(C)=0, so C has no truncations which are linearly equ...
We present a system of classes, SHMatrix, to deal in a unified way with the computation of eigenvalues and eigenvectors in real symmetric and Hermitian mat... ME Castro,J Díaz,Camelia Muoz-Caro,... - 《Computer Physics Communications》 被引量: 4发表: 2011年 Bateman's dual system revisite...
2) generalized centrohermitian matrix 广义中心Hermitian矩阵 1. In this paper,the authors take advantage of the reducibility of the generalized centro-symmetric matrix and the generalized centrohermitian matrix to propose two fast algorithms for computing the products of such matrices. 运用广义中心...
The correlation functions of the random variables det(λ X ), in which X is an hermitian N × N random matrix, are known to exhibit universal local stati... E Brézin,S Hikami - 《Communications in Mathematical Physics》 被引量: 194发表: 2001年 Universal microscopic correlation functions fo...
self-dual codes of length divisible by 12 and quaternary near-extremal Hermitian self-dual codes of length divisible by 6. We con-sider the weight enumerators for which there is a ternary near-extremalself-dual code of length 12m for m = 3,4,5,6. Also we consider theweight enumerators ...
Curvature structure of self-dual 4-manifolds conformal Jacobi operatorconformally Osserman manifoldself-dual manifoldWe show the existence of a modified Cliff(1,1)-structure compatible with an Osserman 0... BLA?I?, NOVICA,GILKEY, PETER,NIK?EVI?, STANA,... - 《International Journal of Geometric...
Thus, we have the nearly self-evident result: A matrix representing a Hermitian operator is a Hermitian matrix. It is also obvious from Eq. (5.62) that the diagonal elements of a Hermitian matrix (which are expectation values for the basis functions) are real. We can easily verify from ...