外差族的一种新的构作方法  

A New Method for the Construction of External Difference Families

作　　者：江正仙[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《江南大学学报（自然科学版）》2009年第1期116-117,共2页Joural of Jiangnan University (Natural Science Edition)　

摘　　要：外差族是Ogata,Kurosawa,Stinson和Saido为研究c-分裂认证码的需要而引进的一种设计,用外差族构造的认证码在信息论的意义上是最优的.文中引进了相对外差族的概念并推得了相对外差族的一个重要性质,基于此性质利用差矩阵给出了构作外差族的一个新方法.In the investigation of authentication codes, Ogata, Kurosawa, Stinson and Saido introduced the notion of external difference families （EDFs） and used EDFs to construct c-splitting A-codes. Both the impersonation attack probability and substitution attack probability of the A-codes from EDFs achieve their information-theoretic lower bounds. In the paper, the definition of relative external difference families is introduced and a fundamental property is derived. Based on the property, a new method for the construction of external difference families from difference matrices is proposed.

关 键 词：外差族 相对外差族 差矩阵 

分 类 号：O157.2[理学—数学]