Title :
Mutual relations between helix and Reed-Muller transforms over GF(3)
Author :
Falkowski, Bogdan J. ; Fu, Cheng
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
In this paper, new relations between ternary helix and Reed-Muller transforms have been analyzed. In addition, the new transform matrices and corresponding hardware implementations in Galois field (3) that can convert directly between ternary helix and Reed-Muller spectra are also presented.
Keywords :
Galois fields; Reed-Muller codes; VLSI; integrated logic circuits; multivalued logic circuits; ternary logic; transforms; Galois fields; Reed-Muller transforms; ternary helix transforms; transform matrix; Galois fields; Hardware; Logic circuits; Logic design; Logic devices; Matrix converters; Multivalued logic; Symmetric matrices; Transmission line measurements; Very large scale integration;
Conference_Titel :
Circuits and Systems, 2005. 48th Midwest Symposium on
Print_ISBN :
0-7803-9197-7
DOI :
10.1109/MWSCAS.2005.1594280
