| dbo:abstract |
In mathematics, 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. (en) Un polinomio todo en uno (AOP, all-in-one polynomial) es un polinomio usado en campos finitos, especificalmente (binario). El AOP es un 1-. Un AOP de grado m tiene todos los términos del al con coeficientes 1, y puede escribirse: o o Así, las raíces de polinomios todo en uno son todas raíces de la unidad. (es) |
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1032155 (xsd:integer) |
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3896 (xsd:nonNegativeInteger) |
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1038762325 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Primitive_polynomial_(field_theory) dbr:Primitive_root_modulo_n dbr:Cyclotomic_polynomial dbr:Degree_of_a_polynomial dbr:Cryptography dbr:Mathematics dbr:GF(2) dbr:Multiplication dbr:Equally_spaced_polynomial dbr:Roots_of_unity dbr:Hamming_weight dbr:Irreducible_polynomial dbr:Finite_field dbr:Prime_number dbc:Field_(mathematics) dbc:Polynomials dbr:Characteristic_(algebra) dbr:Coding_theory dbr:Coefficient dbr:Polynomial dbr:If_and_only_if dbr:Root_of_a_polynomial |
| dbp:title |
all one polynomial (en) |
| dbp:urlname |
AllOnePolynomial (en) |
| dbp:wikiPageUsesTemplate |
dbt:Reflist dbt:PlanetMath |
| dct:subject |
dbc:Field_(mathematics) dbc:Polynomials |
| gold:hypernym |
dbr:Polynomial |
| rdf:type |
yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Polynomial105861855 yago:Relation100031921 yago:WikicatPolynomials |
| rdfs:comment |
In mathematics, 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. (en) Un polinomio todo en uno (AOP, all-in-one polynomial) es un polinomio usado en campos finitos, especificalmente (binario). El AOP es un 1-. Un AOP de grado m tiene todos los términos del al con coeficientes 1, y puede escribirse: o o Así, las raíces de polinomios todo en uno son todas raíces de la unidad. (es) |
| rdfs:label |
All one polynomial (en) Polinomio todo en uno (es) |
| owl:sameAs |
freebase:All one polynomial yago-res:All one polynomial wikidata:All one polynomial dbpedia-es:All one polynomial https://global.dbpedia.org/id/4NpVG |
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wikipedia-en:All_one_polynomial?oldid=1038762325&ns=0 |
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wikipedia-en:All_one_polynomial |
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dbr:AOP |
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dbr:All-one_polynomial |
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dbr:Repunit dbr:List_of_polynomial_topics dbr:Equally_spaced_polynomial dbr:AOP dbr:All-one_polynomial |
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wikipedia-en:All_one_polynomial |