Primitive polynomial
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primitive polynomial
(′prim·əd·iv ′päl·i′nō·mē·əl)
(mathematics) A polynomial with integer coefficients which have 1 as their greatest common divisor.
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Primitive polynomial
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In different branches of mathematics, primitive polynomial has different meanings:
- In field theory, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF(pm).
- In algebra (and specifically ring theory), a primitive polynomial is a polynomial over an integral domain R (such as the integers) such that no non-invertible element of R divides all its coefficients at once.
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McGraw-Hill Dictionary of Scientific and Technical Terms. Copyright © 2003, 1994, 1989, 1984, 1978, 1976, 1974 by McGraw-Hill Companies, Inc. All rights reserved.
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