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GEC 1: Recommended Elliptic Curve Domain Parameters Ver. 0.5
A.2
Object Identiﬁers for Recommended Parameters
This section speciﬁes object identiﬁers for the elliptic curve domain parameters recommended in this
document. These object identiﬁers may be used, for example, to represent parameters using the named-
Curve syntax described in the previous section.
Parameters that have not previously been assigned object identiﬁers appear in the tree whose root is
designated by the object identiﬁer certicom-arc. It has the following value.
certicom-arc OBJECT IDENTIFIER ::= {
iso(1) identified-organization(3) certicom(132)
}
Parameters that are given as examples in ANSI X9.62 [1] appear in the tree whose root is designated by
the object identiﬁer ansi-X9-62. It has the following value.
ansi-X9-62 OBJECT IDENTIFIER ::= {
iso(1) member-body(2) us(840) 10045
}
The values of the object identiﬁers of parameters given in ANSI X9.62 are duplicated here for conve-
nience.
To reduce the encoded lengths, the parameters under certicom-arc appear just below the main node.
The object identiﬁer ellipticCurve represents the root of the tree containing all such parameters in
this document and has the following value.
ellipticCurve OBJECT IDENTIFIER ::= { certicom-arc curve(0) }
The actual parameters appear immediately below this; their object identiﬁers may be found in the fol-
lowing sections. Section A.2.1 speciﬁes object identiﬁers for the parameters over
F p, and Section A.2.2
speciﬁes object identiﬁers for the parameters over
F 2m.
A.2.1
OIDs for Recommended Parameters over
F p
The object identiﬁers for the recommended parameters over
F p have the following values. The names
of the identiﬁers agree with the nicknames given to the parameters in this document. In ANSI X9.62
[1], the curve secp192r1 is designated prime192v1, and the curve secp256r1 is designated
prime256v1.
--
-- Curves over prime-order fields: