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Presentation
K-Potent Matrices-Construction and Applications in Digital Image Encryption
American Conference on Applied Mathematics (2010)
  • Yan Wu, Georgia Southern University
Abstract
A k-potent matrix is any matrix A, the kth power of which is a linear combination of the identity matrix and A, for example, unipotent, idempotent, and involutary matrices are special k-potent matrices. Such matrices have values in applications to digital image encryption. In order to achieve lossless image decryption, all arithmetic operations are restricted over the integer field. Therefore, algorithms are sought to construct integral k-potent matrices. It turns out that the unique eigenstructure of these matrices provides the key for constructing k-potent matrices systematically. In this paper, we explore the spectral properties of k-potent matrices and applications to digital image encryption.
Keywords
  • K-potent matrix,
  • Digital image encryption,
  • Lossless image decryption,
  • Integer field
Disciplines
Publication Date
January 27, 2010
Location
Cambridge, MA
Citation Information
Yan Wu. "K-Potent Matrices-Construction and Applications in Digital Image Encryption" American Conference on Applied Mathematics (2010)
Available at: http://works.bepress.com/yan_wu/25/