| Communications Toolbox | |
A Galois field is an algebraic field having pm elements, where p is prime and m is a positive integer. This chapter describes how to work with Galois fields in which p is odd. To work with Galois fields having an even number of elements, see Galois Field Computations. The sections in this chapter are as follows.
| Galois Field Terminology | Definitions of some terms related to Galois fields |
| Representing Elements of Galois Fields | Representing Galois field elements using exponential and polynomial formats |
| Default Primitive Polynomials | Determining the toolbox's default primitive polynomial for a Galois field |
| Converting and Simplifying Element Formats | Converting between the exponential and polynomial formats, or simplifying a given representation |
| Arithmetic in Galois Fields | Adding, subtracting, multiplying, and dividing elements of Galois fields |
| Polynomials over Prime Fields | Finding roots of or manipulating polynomials over a prime Galois field; finding primitive polynomials |
| Other Galois Field Functions | Other functions that are related to Galois fields |
| Selected Bibliography for Galois Fields | Works containing background information about Galois fields |
| | Selected Bibliography for Galois Fields | Galois Field Terminology | |
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