Equally spaced polynomial
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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[]
Categories:
- Field (mathematics)
- Polynomials