基于t-(v,k,λ)设计构作的二元等重码及其性质  

Construction and Properties of Binary Constant Weight Codes Based on t-(v,k,λ) Design

作　　者：段志霞[1] 赵娜[1] 赵燕冰[2] DUAN Zhi-xia;ZHAO Na;ZHAO Yan-bing(Department of Basic Courses,Jiyuan Vocational and Technical College,Jiyuan 459000,China;Department of Basic Courses,Zhangjiakou Vocational and Technical College,Zhangjiakou 075051,China)

机构地区：[1]济源职业技术学院基础部,河南济源459000 [2]张家口职业技术学院基础部,河北张家口075000

出　　处：《数学的实践与认识》2023年第3期291-296,共6页Mathematics in Practice and Theory

基　　金：河南省科技厅软科学项目(222400410238)。

摘　　要：正整数数v,k,λ为一个t-(v,k,λ)设计的参数,利用t-(v,k,λ)设计的性质构作了二元矩阵C和C,以它们为码矩阵,证明了码矩阵C和(C)是非线性最优二元等距等重码并给出了它们成为最优检错码的必要条件.The positive integers v,k,λ are parameters of t-(v,k,λ)design.By the properties of t-(v,k,λ) design,the binary matrices C and C are constructed.The matrix C and C are said to be code matrices,the two matrices are proved to be the nonlinear optimal binary constant weight codes and the necessary conditions of optimal error-detecting codes are obtained.

关 键 词：t-(v k λ)设计 码矩阵 最优二元等重码 最优检错码 

分 类 号：O157.4[理学—数学]