All one polynomial について

Words near each other

Dictionary Lists

mini英和辞書

mini和英辞書

翻訳と辞書　辞書検索 [ 開発暫定版 ]

スポンサードリンク

All one polynomial ：ウィキペディア英語版

All one polynomial
An all one polynomial (AOP) is a polynomial in which all coefficients are one. Over the finite field of order two, conditions for the AOP to be irreducible are known, which allow this polynomial to be used to define efficient algorithms and circuits for multiplication in finite fields of characteristic two.〔.〕 The AOP is a 1-equally spaced polynomial.〔.〕
==Definition==
An AOP of degree ''m'' has all terms from ''x''^''m'' to ''x''⁰ with coefficients of 1, and can be written as
:

AOP_m(x) = \sum_^ x^i

or
:

AOP_m(x) = x^m + x^ + \cdots + x + 1

or
:

AOP_m(x) = }

thus the roots of the all one polynomial of degree m are all (m+1)th roots of unity other than unity itself.

抄文引用元・出典: フリー百科事典『ウィキペディア（Wikipedia）』
■ウィキペディアで「All one polynomial」の詳細全文を読む

スポンサードリンク

翻訳と辞書 : 翻訳のためのインターネットリソース