GATE (Graduate Aptitude Test in Engineering) Computer Science & IT (CS) Set Theory & Algebra-Groups Study Material (Page 1 of 8)

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Groups – Finite Fields and Error Correcting Codes

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  • We noe move into the concept of “groups” here we will see a general idea of what the term actually means in Mathematics. The concept of groups is on similar lines to that of the set theory in mathematics.
  • Group – It is basically an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the grou…

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Finite Fields

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Now this is very difficult concept, only because it requires a lot of cross-disciplinary understanding for information theory as well as advanced mathematics. Further, we have not had any exam questions from this section till now. So, we will cover this topic only in brief. First, let us see the concepts of the “finite field” .

Finite field

  • It is also called as Galois field. As the name would suggest, it is a field that contains a finite number of elements. As with any field, a finite fi…

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