Cosine transforms over fields of characteristic 2 |
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| Affiliation: | 2. Department of Mathematics, Federal University of Pernambuco, Av. Jornalista Anibal Fernandes, S/N, Cidade Universitária, Recife, PE, 50740-560, Brazil |
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| Abstract: | In this paper, we introduce cosine transforms over fields of characteristic 2. Our approach complements previous definitions of finite field trigonometric transforms, which only hold for fields whose characteristic is an odd prime. Besides introducing some new concepts related to trigonometry in finite fields, we discuss the eigenstructure and other important properties of the proposed transforms. |
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| Keywords: | Finite field cosine transform Fields of characteristic 2 Eigenstructure |
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