一类最优常重量复合码

A Class of Optimal Constant Composition Codes

常重量复合码(constant composition code)是一类特殊的常重量码(constant weight code),且置换码是其一个子类.利用仿射空间构作了一类(qn-1,[q,…,q,q-1],q-1)-划分型差族,作为其直接结果得到一类新的(qn-1,qn-1,qn-q,[q,…,q,q-1]qn-1)-最优常重量复合码,其中q为任意素数幂.

Constant-composition codes are a special class of constant weight codes. They include permutation codes as a subclass. Affine space was used to construct a class of（qn-1,[q,…,q,q-1],q-1）-partitioned differ-ence families. As its application, a new family of optimal （qn-1,qn-1,qn-q,[q,…,q,q-1]qn-1）-composition codes, where q was any prime power.