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词条 Equally spaced polynomial
释义

  1. Properties

  2. References

{{unreferenced|date=July 2008}}

An equally spaced polynomial (ESP) is a polynomial used in finite fields, specifically GF(2) (binary).

An s-ESP of degree sm can be written as:

for

or

Properties

Over GF(2) the ESP has many interesting properties, including:

  • The Hamming weight of the ESP is m + 1.

A 1-ESP is known as an all one polynomial and has additional properties including the above.

References

2 : Field theory|Polynomials

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