Title :
Properties and relations of ternary linearly independent transforms [multivalued logic applications]
Author :
Falkowski, Bogdan J. ; Fu, Cheng
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
Linearly independent transforms in Galois field (3) algebra have been investigated recently. This paper discusses six ternary linearly independent transforms, their various properties and relations. Some experimental results for linearly independent transforms over GF(3) using ternary benchmark functions and their comparison with the ternary Reed-Muller transform is also conducted.
Keywords :
Galois fields; recursive functions; ternary logic; transforms; Galois field algebra; multiple-valued functions; multiple-valued logic design; recursive equations; ternary Reed-Muller transform; ternary linearly independent transforms; ternary logic; Algebra; Circuit synthesis; Circuit testing; Field programmable gate arrays; Galois fields; Integrated circuit interconnections; Logic design; Logic testing; Programmable logic arrays; Ultra large scale integration;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465684
