根据一般弯曲函数构造的Z4四二型四二代码 (Type IV-II codes over Z4 constructed from generalized bent functions)

A Type IV-II Z4-code is a self-dual code over Z4 with the property that all Euclidean weights are divisible by eight and all codewords have even Hamming weight. In this paper we use generalized bent functions for a construction of self-orthogonal codes over Z4 of length $2^m$, for $m$ odd, $m \geq 3$, and prove that for $m \geq 5$ those codes can be extended to Type IV-II Z4-codes. From that family of Type IV-II Z4-codes, we obtain a family of self-dual Type II binary codes by using Gray map. We also consider the weight distributions of the obtained codes and the structure of the supports of the minimum weight codewords.

翻译：4-II Z4-code是Z4的自定义代码,其属性是,所有Euclidea重量均可除以8,所有编码都具有甚至Hamming重量。在本文中,我们使用通用的弯曲函数来构建超过Z4的自旋代码,长度为2美元,单位为2美元,单位为1美元,单位为3美元,并证明对于美元=5美元,这些代码可以扩大到IV-II Z4-code。从四-IIZ4-code的家族中,我们通过使用灰色地图获取了一套二型自旋代码。我们还考虑了获得的代码的重量分布和最小重量编码的支撑结构。