Бакоев,
Валентин
(2008)
Efficient Computing of Some Vector Operations over GF(3) and GF(4)
Serdica Journal of Computing, 2, 2008, pp.137-144.
ISSN 1314-7897 - Online; ISSN 1312-6555 - Print
http://serdica-comp.math.bas.bg/index.php/serdicajcomputing/article/view/45/0
The problem of efficient computing of the affine vector operations: addition of two vectors and multiplication of a vector by a scalar over $GF(q)$, and also the weight of a given vector is important for many problems in coding theory, cryptography, VLSI technology etc. In this paper we propose a new way to represent vectors over $GF(3)$ and $GF(4)$ and we describe an efficient performance of these affine operations. Computing weights of binary vectors is also discussed.
Статия
Finite field, Bit-wise representation, Addition of vectors, Multiplication of a vector by a scalar
Природни науки, математика и информатика
Природни науки, математика и информатика
Информатика и компютърни науки
Natural sciences, mathematics and informatics
Natural sciences, mathematics and informatics
Informatics and Computer Science
Издадено
4021
Валентин Бакоев
|
4. Coolsaet K., "Fast vector arithmetic over F3", Bulletin of the Belgian Mathematical Society - Volume 20, Number 2 (2013), 329-344.
ISSN 13701444; SJR (2013) 0,456.
https://www.scopus.com/authid/detail.uri?authorId=8927749700
3. Varbanov Zl., New results on s-extremal additive codes over GF(4), Int. Journal of Information and Coding Theory, Vol. 1, Issue 4, 2010, pp. 400-409.
ISSN: online 1753-7711, print 1753-7703
1. Varbanov Zl., On Constructive Algorithms For Additive Self-Dual Codes Over GF(4), Acta Universitatis Apulensis (special issue for 5th Workshop ICTAMI’09), 2009, pp. 437-447.
2. Varbanov Zl., Self-orthogonal Codes over F4 and New Quantum Codes, Bulgarian Journal of Physics vol.36 (2), 2009, pp.79 – 85.
ISSN: Print: 1310-0157, Online: 1314-2666