On the Problem of the Existence of a Square Matrix U Such That UU T = ? I over Z p m

Sunghyu Han

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On the Problem of the Existence of a Square Matrix U Such That UU T = ? I over Z p m

机译：关于UU T =？的方阵U的存在性问题我超过Z p m

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Building-up construction is one of several methods for constructing self-dual codes. Recently, a new building-up construction method has been developed by S. Han, in which the existence of a square matrix U such that U U T = - I is essential. In this paper, we completely solve the existence problem for U over Z p m , where p is an arbitrary prime number.

机译：建立构造是构造自对偶代码的几种方法之一。最近，S。Han开发了一种新的组合构造方法，其中存在方阵U使得U U T =-I是必不可少的。在本文中，我们完全解决了Z上的U存在问题，其中p是任意质数。

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《Information》 |2017年第3期|共页
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Sunghyu Han;
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专利

1. On the existence of square dot-matrix patterns having a specific three-valued periodic-correlation function [J] . Kumar P.V. IEEE Transactions on Information Theory . 1988,第2期

机译：关于具有特定三值周期相关函数的方形点矩阵图案的存在
2. El nuevo Madison Square Garden – (EE.UU.) [J] . Luckman Ch. Informes de la Construccion - Revista . 1971,第230期

机译：新麦迪逊广场花园 - （美国）
3. An iterative method for computing the approximate inverse of a square matrix and the Moore-Penrose inverse of a non-square matrix [J] . F. Toutounian, F. Soleymani Applied mathematics and computation . 2013,第Null期

机译：计算方矩阵的近似逆和非方矩阵的Moore-Penrose逆的迭代方法
4. Computing the M = UU~t Integer Matrix Decomposition [C] . Katharina Geissler, Nigel P. Smart Cryptography and Coding . 2003

机译：计算M = UU〜t整数矩阵分解
5. RATIONAL G-CIRCULANTS SATISFYING THE MATRIX-EQUATION A-SQUARE = D X IDENTITY MATRIX + LAMBDA X MATRIX OF 1'S; D AND LAMBDA ARE RATIONAL NUMBERS. [D] . LAM, CLEMENT WING HONG. 1974

机译：满足矩阵方程A平方的有理G循环= D X身份矩阵+ Lambda X 1的矩阵； D和LAMBDA是有理数。
6. A Note on Decomposing a Square Matrix as Sum of Two Square Nilpotent Matrices over an Arbitrary Field [O] . Xiaofei Song, Baodong Zheng, Chongguang Cao 2013

机译：关于将平方矩阵分解为任意场上两个平方幂幂矩阵之和的注记
7. A simple demonstration of the existence of the jordan canonical form for any square matrix [O] . Nicol Robert Norman V. C. 100

机译：简单演示了任何方阵的约旦规范形式的存在
8. Theoretical Comparison of Classical (K-Matrix) and Inverse (P-Matrix) Least-Squares Methods for Quantitative Infrared Spectroscopy [R] . Haaland, D. M. 1985

机译：定量红外光谱的经典（K-矩阵）和逆（p-矩阵）最小二乘法的理论比较

On the Problem of the Existence of a Square Matrix U Such That UU T = ? I over Z p m

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