关于李度量下的完全码

Perfect Codes with Respect to Lee Metric

获得了李距离下Zq,q∈Z,q≥4上完全码存在的一个必要条件,并且证明了李距离下Z4上完全码不存在.另外还证明了与李距离相关的另一种距离下Z4k上完全码也不存在.

This paper obtain a necessary condition for the existence of Lee weight perfect codes over Zq, q ∈ Z,q≥ and show that the Lee weight perfect codes do not exist over Z4. This paper also show that perfect codes do not exist over Z4k with respect to a new distance, which is related to Lee metric.