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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Transcription
Properties
Over GF(2) the ESP - which then can be referred to as all one polynomial (AOP) - has many interesting properties, including:
- The Hamming weight of the ESP is m + 1.
A 1-ESP is known as an all one polynomial (AOP) and has additional properties including the above.[1]
References
- ^ "all one polynomial". planetmath.org. Retrieved 2024-03-07.
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