On Multiplying Xsup5sup Xsup2sup X By Xsup7sup Xsup4sup #112
On multiplying (x<sup>5</sup> + x<sup>2</sup> + x) by (x<sup>7</sup> + x<sup>4</sup> + x<sup>3</sup> + x<sup>2</sup> + x) in GF(28) with irreducible polynomial (x<sup>8</sup> + x<sup>4</sup> + x<sup>3</sup> + x + 1) we get
This multiple choice question (MCQ) is related to the book/course gs gs124 Introduction Cyber Security. It can also be found in gs gs124 Basic Concepts in Number Theory and Finite Fields - Polynomial and Modular Arithmetic - Quiz No.2.
On multiplying (x5 + x2 + x) by (x7 + x4 + x3 + x2 + x) in GF(28) with irreducible polynomial (x8 + x4 + x3 + x + 1) we get
x12+x7+x2
x5+x3+x3
x5+x3+x2+x
x5+x3+x2+x+1