GFPrimeMult {HadamardR}

GFPrimeMult GFPrimeMult creates Multiplication Table for GF(p), where p is a prime number

Description

GFPrimeMult GFPrimeMult creates Multiplication Table for GF(p), where p is a prime number

Usage

GFPrimeMult(p)

Arguments

p

integer

Details

If the elements of GF(p) are 0,1,..,p-1 then the (i,j)th element of matrix returned is multiplication of (i-1)th and (j-1)th elements. The multiplications are subjected to modulo p.

Value

Multiplication Table of GF(p) in the form of matrix of order p x p.

Examples

GFPrimeMult(5)
     #[,1] [,2] [,3] [,4] [,5]
#[1,]    0    0    0    0    0
#[2,]    0    1    2    3    4
#[3,]    0    2    4    1    3
#[4,]    0    3    1    4    2
#[5,]    0    4    3    2    1