### We've got **13** definitions for **XTR** »

# 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 | |

XTR | RealArcade Compressed Data File | |

XTR | X-ray Transition Radiation | |

XTR | Tara, Queensland, Australia | |

XTR | Xenopus Telomerase RNA | |

XTR | Xtreme Tactical Riflescope | |

XTR | X Transposed Region | |

XTR | Xhibit Telemetry Receiver | |

XTR | Xtreme Tactical Rifle | |

XTR | Xtreme Terrain Rider | |

XTR | Xtreme Tramontana Racing | |

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

XTR | Xtract |

#### 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, 2021. Web. 15 Jan. 2021. <https://www.abbreviations.com/XTR>.