isprimitive
True for primitive polynomial for Galois field
Description
Examples
Check If Specific Polynomials Are Primitive
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
prpoly
— Primitive polynomial
character vector | string scalar | nonnegative integer | Galois row vector
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
ispl
— True or false
0
| 1
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
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