GFPrimeAdd {HadamardR}

GFPrimeAdd

Description

GFPrimeAdd creates the addition Table for GF(p), where p is a prime number

Usage

GFPrimeAdd(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 addition of (i-1)th and (j-1)th elements. The additions are subjected to modulo p.

Value

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

Examples

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