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该文研究了环rK=F(pm)+uF(pm)+…+u(k1)F(pm)上任意长的(1+u)-常循环码的齐次距离分布。首先,介绍了环k R上给定长度的(1+u)-常循环码的挠码。然后利用挠码得到环k R上任意长度的(1+u)-常循环码的齐次距离的界,并给出了Rk上某些(1+u)-常循环码的齐次距离的准确值。
This paper investigates the homogeneous distance distribution of arbitrary long (1 + u) -cyclic cyclic codes over the ring rK = F (pm) + uF (pm) + ... + u (k1) F (pm) First of all, we introduce the (1 + u) - cyclic codes with given length on ring k R. Then the bounds of the homogeneous distance of (1 + u) - cyclic codes of arbitrary length on ring k R are obtained by using the radix codes and the homogeneous distances of some (1 + u) - cyclic codes of Rk are given Accurate value.