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关于矩阵的几个安全两方计算协议
引用本文:张龙,闫韬,柯品惠,张国栋.关于矩阵的几个安全两方计算协议[J].齐齐哈尔大学学报(自然科学版),2009,25(3).
作者姓名:张龙  闫韬  柯品惠  张国栋
作者单位:1. 黑龙江大学,数学科学学院,哈尔滨,150080
2. 福建师范大学,数学与计算机科学学院,福建,福州,350007
基金项目:黑龙江省教育厅面上项目,黑龙江大学青年科学基金 
摘    要:以不经意传输为基础给出了一般矩阵求和的安全两方计算协议,并以此为子协议给出了关于一般矩阵和的秩、矩阵的满秩分解以及广义逆矩阵求解的安全两方计算协议,并对协议的正确性和安全性进行了说明.

关 键 词:安全两方协议  安全多方计算  满秩分解  广义逆矩阵

Some secure two-party computation protocols for the operations of matrix
ZHANG Long,YAN Tao,KE Pin-hui,ZHANG Guo-dong.Some secure two-party computation protocols for the operations of matrix[J].Journal of Qiqihar University(Natural Science Edition),2009,25(3).
Authors:ZHANG Long  YAN Tao  KE Pin-hui  ZHANG Guo-dong
Institution:1.School of Mathematics Science;Heilongjiang University;Harbin 150080;China;2.School of Mathematics and Computer Science;Fujian Normal University;Fujian Fuzhou 350007;China
Abstract:The secure protocol for the sum of two matrices had been proposed by using Oblivious Transfer 1 out of p protocol in this paper.Then based this protocol,the secure two-party protocols for computing the rank of sum of two matrices,the full rank factorization of matrix and the generalized inverse of matrix had been constructed.Finally,the security and correctness of the protocols had been described.
Keywords:secure two-party protocol  secure multi-party computation  full rank factoriza-tion of matrix  generalized inverse of matrix  
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