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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

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Properties

Over GF(2) the ESP - which then can be referred to as all one polynomial (AOP) - has many interesting properties, including:

A 1-ESP is known as an all one polynomial (AOP) and has additional properties including the above.[1]

References

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