On Jacket transforms over finite fields

On Jacket transforms over finite fields
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DOI:
10.1109/isit.2009.5205783
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发表时间:
2009-06
期刊:
2009 IEEE International Symposium on Information Theory
影响因子:
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通讯作者:
M. Lee;Yuri L. Borissov
M. Lee;Yuri L. Borissov
中科院分区:
其他
文献类型:
--
作者:
M. Lee;Yuri L. Borissov

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在2001年,Lee,Rajan和Park提出了有限域上的扩展复反向夹克(CRJ)变换的概念。本文证明了这种变换与伽罗瓦域傅立叶变换等价,并具有一个附加的特征,即具有一个特定边界的矩阵。我们还,目前的例子夹克变换在有限域适用于奇数维扩展以这种方式以前的作品的主题。
In 2001 Lee, Rajan and Park introduced (among other things) the concept of extended Complex Reverse Jacket (CRJ) transform over finite field. In this paper, we prove that this transform is equivalent to Galois Field Fourier (GFF) transform and possesses an additional feature of having a matrix with specific border. We also, present examples of Jacket transforms over finite fields applicable to odd dimensions extending in this way previous works on the subject.