On two-weight $$\mathbb {Z}_{2^k}$$Z2k-codes
On two-weight $$\mathbb {Z}_{2^k}$$Z2k-codes
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DOI：
10.1007/s10623-017-0390-0
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
M. Shi;Z. Sepasdar;A. Alahmadi;P. Solé
中科院分区：
文献类型：
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作者：
M. Shi;Z. Sepasdar;A. Alahmadi;P. Solé
本文确定了长度大于1且对偶Krotov距离至少为4的正则投影双权码的可能齐次权。权值的确定是基于对对偶码陪集图的强正则图的参数限制。当，我们的参数的特点，这些码的逆Gray图像的线性Hadamard码，这已经由他们的类型几个作者的特点。
We determine the possible homogeneous weights of regular projective two-weight codes overof length, with dual Krotov distanceat least four. The determination of the weights is based on parameter restrictions for strongly regular graphs applied to the coset graph of the dual code. When, we characterize the parameters of such codes as those of the inverse Gray images of-linear Hadamard codes, which have been characterized by their types by several authors.