二元叠加码δ(n,d,k)的线性性质

Linear Properties of Binary Superimposed Codes δ(n,d,k)

二元叠加码δ(n,d,k)是一个非适应性分组测试(NGT)算法的数学模型d-disjunct矩阵.利用有限域F2上向量的计算法则研究了二元叠加码δ(n,d,k)的线性性质,分别得到了δ(n,d,k)存在线性性质和不存在线性性质的条件,为进一步研究二元叠加码δ(n,d,k)提供了依据.

Binary superimposed code δ（n,d,k） is a mathematical model of non-adaptive group testing（NGT） algorithm,and is a d-disjunct matrix.Linear properties of the binary superimposed code δ（n,d,k） are studied over finite fields F2,and the conditions that whether the linear properties exit or not are obtained,which provides the basis of further discussing binary superimposed code δ（n,d,k）.