M6 6. For any element z€ Z4, let z denote 1 + x, so that i is 0 when z is 1 and i is 1 when r is zero. Let C bethe set of elements of six digit length code words of the form ryzēgE. Write down the eight elements of C,and show that C is not a group code. Find the minimum distance of C.

We are given the following information. For any element x∈ℤ2, let x¯ denote 1+x, so that x¯ is 0…

Answered: For any element z e Z,, let z denote 1…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 22E

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For any element z e Z,, let z denote 1 + , so that 2 is 0 when r is 1 and a is 1 when r is zero. Let C be the set of elements of six digit length code words of the form zysags. Write down the eight elements of C, and show that C is not a group code. Find the minimum distance of C.