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Set ( k, n )-Exactly covering problem
引用本文:吴振寰,Gao Ying,Wu Zhehui. Set ( k, n )-Exactly covering problem[J]. 高技术通讯(英文版), 2010, 16(4): 433-436. DOI: 10.3772/j.issn.1006-6748.2010.04.017
作者姓名:吴振寰  Gao Ying  Wu Zhehui
作者单位:College of Information Science & Engineering, Shandong University of Science & Technology, Qingdao 266510, P.R. China
基金项目:Supported by the National Natural Science Foundation of China (No. 60673053; 90718011).
摘    要:
<正> With the (k,n) -threshold scheme of secret sharing in the field of information security technology asan application background,the concept of set ( k,n)-exact cover is presented in this paper.It is a modificationof the original concept of set covering problem.It is also different from the concept of exact coverdefined by J.E.Hopcroft.Some properties of ( k,n) -exact cover are investigated;a sufficient conditionfor a set to be ( k,n ) -exactly coverable is given.It follows that a feasible assignment scheme of a set forthe (k,n) -exact cover is obtained if this set satisfies the sufficient condition.

关 键 词:覆盖问题  信息安全技术      充分条件  秘密分享  应用程序  大肠杆菌

Set (k,n)-Exactly covering problem
Wu Zhenhuan,Gao Ying,Wu Zhehui. Set (k,n)-Exactly covering problem[J]. High Technology Letters, 2010, 16(4): 433-436. DOI: 10.3772/j.issn.1006-6748.2010.04.017
Authors:Wu Zhenhuan  Gao Ying  Wu Zhehui
Affiliation:Wu Zhenhuan, Gao Ying, Wu Zhehui (College of Information Science & Engineering, Shandong University of Science & Technology, Qingdao 266510, P.R. China)
Abstract:
With the(k,n)-threshold scheme of secret sharing in the field of information security technology as an application background,the concept of set(k,n)-exact cover is presented in this paper.It is a modification of the original concept of set covering problem.It is also different from the concept of exact cover defined by J.E.Hopcroft.Some properties of (k,n)-exact cover are investigated; a sufficient condition for a set to be (k,n)-exactly coverable is given.It follows that a feasible assignment scheme of a set for the (k,n)-exact cover is obtained if this set satisfies the sufficient condition.
Keywords:set  (k,n)-exact cover  exactly covering match  feasible assignment
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