线性无关螺旋在GF(3)上的变换

Cheng Fu, B. Falkowski
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引用次数: 1

摘要

本文介绍了伽罗瓦场(3)上新的线性无关三元变换,即线性无关螺旋变换。描述了四种类型的螺旋变换矩阵及其详细的递归方程。讨论了螺旋变换矩阵的各种性质、它们之间的相互关系和所选临时逻辑函数的特殊情况,以及它们的蝴蝶图和计算代价。讨论了四种新型螺旋变换与三元Reed-Muller变换的对比实验结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Linearly independent helix transforms over GF(3)
New classes of linearly independent ternary transforms over Galois Field (3) called linearly independent helix transforms are introduced here. Four types of such helix transform matrices with detailed recursive equations are described. Various properties of helix transform matrices, their mutual relations and special cases for selected temary logic hnctions as well as their butterfly diagrams and computational costs are also discussed. Experimental results comparing four new helix transforms with ternary Reed-Muller transforms are also discussed.
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