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1·We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix.

利用有限域上一般线性群的BN对分解，给出有限域上的可逆矩阵在置换阵相似变换下的标准形。

2·Applying permutation matrix, the association and the system isomorphism between contractual relationship modeling in theory and its operation in practice were verified.

采用置换矩阵，验证了契约关系模型理论构建与现实运作间的关联关系及系统的同构性。

3·The method used a parity-check matrix of a short LDPC code as its mother matrix upon which a long code was constructed with circulant permutation matrices.

该方法利用一个短的LDPC码的校验矩阵作为其母矩阵，在此基础上采用循环置换矩阵构造一个长的LDPC码。

4·This paper introduces a completely nonsingular matrix based substitution permutation network that can effectively improve the performance of the block cipher against linear cryptanalysis.

论文介绍了一种基于全非奇异矩阵的代替置换网络，它可有效的提高分组密码抗线性密码分析的能力。

5·Based on this model, a new crypt structure called completely nonsingular matrix based substitution permutation network is designed.

基于这一模型，设计了一个称为基于全非奇异矩阵的代替置换网络的密码结构。

6·This paper proposes a matrix based substitution permutation network as the model of block cipher.

论文提出了一种基于矩阵的代替置换网络模型。

7·The upper bound of the differential probability is developed for the completely nonsingular matrix based substitution permutation network.

给出了基于全非奇异矩阵的代替置换网络的差分概率上界。

8·Therefore, using large completely nonsingular matrix based substitution permutation networks can effectively improve cipher security in relation to differential cryptanalysis.

指出了使用大规模的基于全奇异矩阵的代替置换网络可有效地提高分组密码抗差分密码分析的安全性。

9·Specially have steel board adjustment function, graphic scale, rotate, mirror image, matrix permutation, idling, select line or line number, etc, Which will frequently be used in daily work.

特有钢板校正功能、图型旋转、比例、镜像、矩阵排列、空走、选行及选号等日常操作中的实用功能。

10·Introduces the basic mathematical models, such as matrix, permutation, and combination, in the design of fabrics.

本文介绍织物组织设计基本数学模式，用矩阵、排列和排列组合等数学方法设计织物组织。