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- Trace_Zero_Cryptography abstract "In 1998 Gerhard Frey firstly proposed using trace zero varieties for cryptographic purpose. These varieties are subgroups of the divisor class group on a low genus hyperelliptic curve defined over a finite field. These groups can be used to establish asymmetric cryptography using the discrete logarithm problem as cryptographic primitive.Trace zero varieties feature a better scalar multiplication performance than elliptic curves. This allows a fast arithmetic in this groups, which can speed up the calculations with a factor 3 compared with elliptic curves and hence speed up the cryptosystem.Another advantage is that for a groups of cryptographically relevant size, the order of the group can simply be calculated using the characteristic polynomial of the Frobenius endomorphism. This is not the case, for example, in elliptic curve cryptography when the group of points of an elliptic curve over a prime field is used for cryptographic purpose.However to represent an element of the trace zero variety more bits are needed compared with elements of elliptic or hyperelliptic curves. Another disadvantage, is the fact, that it is possible to reduce the security of the TZV of 1/6th of the bit length using cover attack.".
- Trace_Zero_Cryptography wikiPageExternalLink 094,.
- Trace_Zero_Cryptography wikiPageExternalLink TraceZeroVarieties.html,.
- Trace_Zero_Cryptography wikiPageExternalLink its_seminar_ws0708.html,.
- Trace_Zero_Cryptography wikiPageID "16221784".
- Trace_Zero_Cryptography wikiPageLength "8427".
- Trace_Zero_Cryptography wikiPageOutDegree "8".
- Trace_Zero_Cryptography wikiPageRevisionID "597641641".
- Trace_Zero_Cryptography wikiPageWikiLink Category:Cryptography.
- Trace_Zero_Cryptography wikiPageWikiLink Discrete_logarithm.
- Trace_Zero_Cryptography wikiPageWikiLink Elliptic_curve_cryptography.
- Trace_Zero_Cryptography wikiPageWikiLink Finite_field.
- Trace_Zero_Cryptography wikiPageWikiLink Gerhard_Frey.
- Trace_Zero_Cryptography wikiPageWikiLink Hyperelliptic_curve.
- Trace_Zero_Cryptography wikiPageWikiLink Jacobian_variety.
- Trace_Zero_Cryptography wikiPageWikiLink Public-key_cryptography.
- Trace_Zero_Cryptography wikiPageUsesTemplate Template:Multiple_issues.
- Trace_Zero_Cryptography wikiPageUsesTemplate Template:Orphan.
- Trace_Zero_Cryptography wikiPageUsesTemplate Template:Refimprove.
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- Trace_Zero_Cryptography wikiPageUsesTemplate Template:Reflist.
- Trace_Zero_Cryptography wikiPageUsesTemplate Template:Unicode.
- Trace_Zero_Cryptography subject Category:Cryptography.
- Trace_Zero_Cryptography type Communication.
- Trace_Zero_Cryptography comment "In 1998 Gerhard Frey firstly proposed using trace zero varieties for cryptographic purpose. These varieties are subgroups of the divisor class group on a low genus hyperelliptic curve defined over a finite field. These groups can be used to establish asymmetric cryptography using the discrete logarithm problem as cryptographic primitive.Trace zero varieties feature a better scalar multiplication performance than elliptic curves.".
- Trace_Zero_Cryptography label "Trace Zero Cryptography".
- Trace_Zero_Cryptography sameAs Q7831150.
- Trace_Zero_Cryptography sameAs m.03wd8nj.
- Trace_Zero_Cryptography sameAs Q7831150.
- Trace_Zero_Cryptography wasDerivedFrom Trace_Zero_Cryptography?oldid=597641641.
- Trace_Zero_Cryptography isPrimaryTopicOf Trace_Zero_Cryptography.