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equally spaced polynomial : ウィキペディア英語版
equally spaced polynomial

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:
:
ESP(x) = \sum_^ x^ for i = 0, 1, \ldots, m

or
:
ESP(x) = x^ + x^ + \cdots + x^s + 1.

==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.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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