Classes of fastest quaternary linearly independent transformations

Author

Falkowski, Bogdan J. ; Fu, Cheng

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore

fYear

2005

fDate

19-21 May 2005

Firstpage

206

Lastpage

211

Abstract

In this paper, four classes of quaternary linearly independent transformations, which possess fastest forward and inverse transforms with the lowest computational cost have been presented. All the transform matrices are recursively defined and have consistent formulas relating forward and inverse matrices. Computational costs of the calculation for presented transforms have also been discussed.

Keywords

Galois fields; matrix inversion; transforms; inverse matrices; inverse transform; matrix transformation; quaternary linearly independent transformation; Algebra; Boolean functions; Computational efficiency; Field programmable gate arrays; Galois fields; Integrated circuit interconnections; Logic design; Multiaccess communication; Programmable logic arrays; Ultra large scale integration;

fLanguage

English

Publisher

ieee

Conference_Titel

Multiple-Valued Logic, 2005. Proceedings. 35th International Symposium on

ISSN

0195-623X

Print_ISBN

0-7695-2336-6

Type

conf

DOI

10.1109/ISMVL.2005.12

Filename

1423183

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=433399