# Efficient Computing of some Vector Operations over GF(3) and GF(4)

Bouyukliev, Iliya; Bakoev, Valentin

Serdica Journal of Computing (2008)

- Volume: 2, Issue: 2, page 137-144
- ISSN: 1312-6555

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topBouyukliev, Iliya, and Bakoev, Valentin. "Efficient Computing of some Vector Operations over GF(3) and GF(4)." Serdica Journal of Computing 2.2 (2008): 137-144. <http://eudml.org/doc/11458>.

@article{Bouyukliev2008,

abstract = {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 of representing 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.},

author = {Bouyukliev, Iliya, Bakoev, Valentin},

journal = {Serdica Journal of Computing},

keywords = {Finite Field; Bitwise Representation; Addition of Vectors; Multiplication of a Vector by a Scalar; finite field; bit-wise representation; addition of vectors; multiplication of a vector by a scalar},

language = {eng},

number = {2},

pages = {137-144},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Efficient Computing of some Vector Operations over GF(3) and GF(4)},

url = {http://eudml.org/doc/11458},

volume = {2},

year = {2008},

}

TY - JOUR

AU - Bouyukliev, Iliya

AU - Bakoev, Valentin

TI - Efficient Computing of some Vector Operations over GF(3) and GF(4)

JO - Serdica Journal of Computing

PY - 2008

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 2

IS - 2

SP - 137

EP - 144

AB - 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 of representing 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.

LA - eng

KW - Finite Field; Bitwise Representation; Addition of Vectors; Multiplication of a Vector by a Scalar; finite field; bit-wise representation; addition of vectors; multiplication of a vector by a scalar

UR - http://eudml.org/doc/11458

ER -

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