The eigenstructure of finite field trigonometric transforms

DOI10.1016/j.laa.2011.03.031zbMath1225.15011OpenAlexW1966477666MaRDI QIDQ551319

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 July 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.031

zbMATH Keywords

eigenvalueseigenvectorsfinite fieldstrigonometric transformserror-correcting codesmultiuser communication systems

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Other transforms and operators of Fourier type (43A32) Communication theory (94A05)

Related Items (6)

Fractional Fourier, Hartley, cosine and sine number-theoretic transforms based on matrix functions ⋮ Cosine transforms over fields of characteristic 2 ⋮ Finite field trigonometric transforms ⋮ Fractional cosine and sine transforms over finite fields ⋮ Eigenvalues and equivalent transformation of a trigonometric matrix associated with filter design ⋮ The eigenstructure of finite field trigonometric transforms

Cites Work

• The eigenstructure of finite field trigonometric transforms
• Computation Over Multiple-Access Channels
• Block error correcting codes using finite-field wavelet transforms
• The discrete fractional cosine and sine transforms
• Eigenvalues and eigenvectors of generalized DFT, generalized DHT, DCT-IV and DST-IV matrices
• The fractional discrete cosine transform
• A Block Cipher Cryptosystem Using Wavelet Transforms Over Finite Fields
• The Fast Fourier Transform in a Finite Field
• Factoring polynomials over finite fields: A survey
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The eigenstructure of finite field trigonometric transforms