Finite field trigonometric transforms

DOI10.1007/s00200-011-0158-0zbMath1257.12003OpenAlexW1969397475MaRDI QIDQ429771

Ricardo M. Campello de Souza, Juliano B. Lima

Publication date: 20 June 2012

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-011-0158-0

zbMATH Keywords

finite fieldstrigonometric transformsnumber theoretic transforms

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Other transforms and operators of Fourier type (43A32)

Related Items (4)

Fractional Fourier, Hartley, cosine and sine number-theoretic transforms based on matrix functions ⋮ A novel approach for defining a Hilbert number transform ⋮ Cosine transforms over fields of characteristic 2 ⋮ Fractional cosine and sine transforms over finite fields

Cites Work

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• The eigenstructure of finite field trigonometric transforms
• The generalized discrete Fourier transform in rings of algebraic integers
• Number-Theoretic Transforms of Prescribed Length
• The use of finite fields to compute convolutions
• A new architecture for a parallel finite field multiplier with low complexity based on composite fields
• Block error correcting codes using finite-field wavelet transforms
• A Block Cipher Cryptosystem Using Wavelet Transforms Over Finite Fields
• Convolutional codes using finite-field wavelets: time-varying codes and more
• The Fast Fourier Transform in a Finite Field

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