isprimitive

True for primitive polynomial for Galois field

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Syntax

ispl = isprimitive(prpoly)

Description

ispl = isprimitive(prpoly) returns 1 if the polynomial that prpoly represents is primitive for the Galois field GF(2m). Otherwise, it returns 0.

example

Examples

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Open Live Script

Find all the primitive polynomials for GF(8). 

a = primpoly(3,'all','nodisplay') % All primitive polynomials for GF(8)
a = 2×1

    11
    13

Use isprimitive to check if specific polynomials are primitive.

isp1 = isprimitive(13) % 13 represents a primitive polynomial.
isp1 = logical
   1


isp2 = isprimitive(14) % 14 represents a nonprimitive polynomial.
isp2 = logical
   0

Examining the vector a, you can see that isp1 is true because 13 is an element in a and isp2 is false because 14 is not an element in a.

Input Arguments

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Primitive polynomial, specified as one of the following:

  • A nonnegative integer less than 217. The binary representation of this integer indicates the coefficients of the polynomial. In this case, m is floor(log2(prpoly)).

  • A Galois row vector in GF(2), listing the coefficients of the polynomial in order of descending powers. In this case, m is the order of the polynomial represented by prpoly.

Data Types: double

Output Arguments

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True or false result, returned as logical 1 (true) or logical 0 (false) indicating if the input is primitive or not.

Data Types: logical

Version History

Introduced before R2006a

See Also

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