# Arithmetic in Mathematical Fields (in particular GF(2^8) )

## Homework Statement

* note that I meant fields in the abstract mathematical sense, notphysical (i.e. electric) fields! *

Finding the determinant of a matrix in GF(28)

I want to know if it is using mod 256 or mod 255 in the field of GF(28)

Just math

## The Attempt at a Solution

I found the determinant of a matrix no problem. Everything in between is all good. What I want to know is that in the field of GF(28), am I taking the number mod 255 or mod 256?

I know that there are a total of 256 elements in the field, but I'm just not sure which mod to take for the final answer, since it is a negative determinant.

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Mark44
Mentor
Modulo 256. The possible moduli are 0, 1, 2, ..., 255, the possible remainders when you divide by 256.

thanks Mark

Hurkyl
Staff Emeritus