Title :
Generation of linearly independent transforms over GF(4)
Author :
Falkowski, Bogdan J. ; Fu, Cheng
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
New linearly independent transforms over GF(4) are introduced. This family is recursively defined and has consistent formulas relating forward and inverse transforms. A universal logic module and the computational costs of the calculation for the new transforms are also discussed.
Keywords :
Galois fields; data mining; learning (artificial intelligence); logic design; polynomials; transforms; binary logic; computational costs; inverse transforms; knowledge discovery; logic functions; machine learning; multiple-valued logic; polynomial expansions; quaternary functions; quaternary linearly independent transforms; universal logic module; Computational efficiency; Equations; Hardware; Learning automata; Logic functions; Machine learning; Mathematical model; Polynomials; Stability analysis;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1464631
