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What does XTR stand for? 

What does XTR mean? This page is about the various possible meanings of the acronym, abbreviation, shorthand or slang term: XTR.

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XTR

XTRA Corporation

Business » NYSE Symbols

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XTR

RealArcade Compressed Data File

Computing » File Extensions

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XTR

X-ray Transition Radiation

Governmental » NASA

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XTR

Tara, Queensland, Australia

Regional » Airport Codes

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XTR

Xenopus Telomerase RNA

Miscellaneous » Unclassified

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XTR

Xtreme Tactical Riflescope

Miscellaneous » Unclassified

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XTR

X Transposed Region

Miscellaneous » Unclassified

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XTR

Xhibit Telemetry Receiver

Miscellaneous » Unclassified

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XTR

Xtreme Tactical Rifle

Miscellaneous » Unclassified

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XTR

Xtreme Terrain Rider

Miscellaneous » Unclassified

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XTR

Xtreme Tramontana Racing

Sports » Racing

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XTR

iShares Standard & Poors/Toronto Stock eXchange Income Trust Index Fund

Business » Toronto Stock Exchange

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Xtract

Business » London Stock Exchange

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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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