What does XTR mean in Automotive?
This page is about the meanings of the acronym/abbreviation/shorthand XTR in the Miscellaneous field in general and in the Automotive terminology in particular.
Extreme Edition
Submitted by Tancial on May 9, 2021
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Definition
What does XTR mean?
- XTR
- 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 G F ( p 2 ) {\displaystyle GF(p^{2})} to represent elements of a subgroup of G F ( p 6 ) ∗ {\displaystyle GF(p^{6})^{*}} . 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 g {\displaystyle g} of a relatively small subgroup of some prime order q {\displaystyle q} of a subgroup of G F ( p 6 ) ∗ {\displaystyle GF(p^{6})^{*}} . With the right choice of q {\displaystyle q} , computing Discrete Logarithms in the group, generated by g {\displaystyle g} , is, in general, as hard as it is in G F ( p 6 ) ∗ {\displaystyle GF(p^{6})^{*}} and thus cryptographic applications of XTR use G F ( p 2 ) {\displaystyle GF(p^{2})} arithmetics while achieving full G F ( p 6 ) {\displaystyle GF(p^{6})} 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.
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"XTR." Abbreviations.com. STANDS4 LLC, 2024. Web. 31 Oct. 2024. <https://www.abbreviations.com/term/2391784>.
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