Title :
Polynomial expansions over GF(3) based on fastest transformation
Author :
Falkowski, Bogdan J. ; Fu, Cheng
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
A new fastest Linearly Independent (LI) transforms over GF(3) and its corresponding polynomial expansions have been introduced. The number of required additions and multiplications in new LI transform is advantageous when compared with ternary Reed-Muller transform, which was previously known as the most efficient transform over GF(3). This paper discusses various properties of these fastest LI transforms and their corresponding polynomial expansions over GF(3) as well as their comparison with ternary Reed-Muller transform and its implementation in hardware.
Keywords :
Galois fields; computational complexity; polynomial matrices; transforms; fastest linearly independent transforms; polynomial expansions; ternary Reed-Muller transform; Circuit synthesis; Circuit testing; Computational efficiency; Equations; Galois fields; Hardware; Logic testing; Neural networks; Polynomials; Transforms;
Conference_Titel :
Multiple-Valued Logic, 2003. Proceedings. 33rd International Symposium on
Print_ISBN :
0-7695-1918-0
DOI :
10.1109/ISMVL.2003.1201382
