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Determine Spectral Coefficients of Boolean Functions by Using Walsh-Rademacher Transform

المؤلف: Ass.teacherHameed Kadhim dawood
ﺎﻠﻤﺠﻟﺓ: Al-Fatih journal مجلة الفتح ISSN: 87521996 السنة: 2008 المجلد: 4 الاصدار: 36 الصفحات: 152-166
الجامعة: Diyala University جامعة ديالى - جامعة ديالى

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الخلاصة

Walsh transform belongs to a class of orthogonal transforms, which used in many problems, like spectral methods. One of these problems is to check the linearity of Boolean functions by means of Walsh spectral technique. Walsh transform can be represented by many ways like,walsh-Hadamard transform (W-H.T) and Walsh-Rademacher transform (W-R.T). Porwik,[4] used Walsh-Hadamard transform to determine the Spectral coefficient of Boolean functions, and used it to investigate the linearity of Boolean functions directly on the basis of Walsh coefficients.
Linearity and non-linearity play important roles in cryptography, transmission, correction errors, etc.

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