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- XTR abstract "In cryptography, XTR is an algorithm for public-key encryption. XTR stands for ‘ECSTR’, which is an abbreviation for Efficient and Compact Subgroup Trace Representation. It is a method to represent elements of a subgroup of a multiplicative group of a finite field. To do so, it uses the trace over to represent elements of a subgroup of . From a security point of view, XTR relies on the difficulty of solving Discrete Logarithm related problems in the full multiplicative group of a finite field. Unlike many cryptographic protocols that are based on the generator of the full multiplicative group of a finite field, XTR uses the generator of a relatively small subgroup of some prime order of a subgroup of . With the right choice of , computing Discrete Logarithms in the group, generated by , is, in general, as hard as it is in and thus cryptographic applications of XTR use arithmetics while achieving full security leading to substantial savings both in communication and computational overhead without compromising security. Some other advantages of XTR are its fast key generation, small key sizes and speed.".
- XTR wikiPageID "3963209".
- XTR wikiPageRevisionID "556241558".
- XTR hasPhotoCollection XTR.
- XTR subject Category:Asymmetric-key_algorithms.
- XTR subject Category:Finite_fields.
- XTR type Field108569998.
- XTR type FiniteFields.
- XTR type GeographicalArea108574314.
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- XTR comment "In cryptography, XTR is an algorithm for public-key encryption. XTR stands for ‘ECSTR’, which is an abbreviation for Efficient and Compact Subgroup Trace Representation. It is a method to represent elements of a subgroup of a multiplicative group of a finite field. To do so, it uses the trace over to represent elements of a subgroup of . From a security point of view, XTR relies on the difficulty of solving Discrete Logarithm related problems in the full multiplicative group of a finite field.".
- XTR label "XTR".
- XTR label "XTR".
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- XTR sameAs Q2053930.
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- XTR sameAs XTR.
- XTR wasDerivedFrom XTR?oldid=556241558.
- XTR isPrimaryTopicOf XTR.