二元Duadic码及其等价类

Binary Duadic codes and equivalent class

丁存生等在文献 [1]中构造了所有码长为素数p的二元Duadic码 ,我们进一步在文献 [2 ]中构造了所有码长为pm的二元Duadic码。然而如何构造和计数任意码长为n =p1m1p2 m2 …prmr的二元Duadic码 ,至今仍是一个公开问题。我们在本文中完全解决了这个问题 ,并且还给出了不等价的Duadic码的计数。

In[1]Ding Chun sheng et al constructed and enumerated all of the binary duadic codes of prime length,and in[2]we gave the construction and enumeration of all binary duadic codes of length p m However,the problem of constructing and enumerating the duadic codes with length n=p 1 m 1 p 2 m 2 …p r m r remains open up to now In this paper,we will completely solve this problem The number of inequivalent duadic codes is also derived