Looking beyond XTR

机译：超越XTR

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XTR is a general method that can be applied to discrete logarithm based cryptosystems in extension fields of degree six, providing a compact representation of the elements involved. In this paper we present a precise formulation of the Brouwer-Pellikaan-Verheul conjecture, originally posed in, concerning the size of XTR-like representations of elements in extension fields of arbitrary degree. If true this conjecture would provide even more compact representations of elements than XTR in extension fields of degree thirty. We test the conjecture by experiment, showing that in fact it is unlikely that such a compact representation of elements can be achieved in extension fields of degree thirty.

机译：XTR是一种通用方法，可以将其应用于六阶扩展字段中的基于离散对数的密码系统，从而提供所涉及元素的紧凑表示。在本文中，我们提出了最初提出的Brouwer-Pellikaan-Verheul猜想的精确公式，该猜想涉及任意程度扩展域中元素的XTR表示形式的大小。如果为真，则此猜想将在三十度扩展字段中提供比XTR更为紧凑的元素表示。我们通过实验测试该猜想，表明实际上不可能在三十度的扩展域中实现这种紧凑的元素表示。

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来源
《8th International Conference on the Theory and Application of Cryptology and Information Security, Dec 1-5, 2002, Queenstown, New Zealand》|2002年|p.46-63|共18页
会议地点 Queenstown(NZ)
作者
Wieb Bosma; James Hutton; Eric R. Verheul;
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作者单位

Mathematisch Instituut, Universiteit Nijmegen, Postbus 9010, 6500 GL Nijmegen, The Netherlands;

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原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
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1. “Mind the Gap”: An 85-Year-Old Man with Severe Tricuspid Valve Regurgitation Who Underwent Percutaneous Edge-to-Edge Valve Leaflet Plication Using the New and Advanced MitraClip XTR System [J] . Karin Anne Lydia Mueller, Rezo Jorbenadze, Meinrad Gawaz, Case Reports & Clinical Practice Review . 2021,第11期

机译：“思想差距”：一个85岁的男子，具有严重的三尖瓣反流，使用新的和先进的MITRACLIP XTR系统进行经皮到边缘阀门传单。
2. “Mind the Gap”: An 85-Year-Old Man with Severe Tricuspid Valve Regurgitation Who Underwent Percutaneous Edge-to-Edge Valve Leaflet Plication Using the New and Advanced MitraClip XTR System [J] . Karin Anne Lydia Mueller, Rezo Jorbenadze, Meinrad Gawaz, American Journal of Case Reports . 2021,第5期

机译：“思想差距”：一个85岁的男子，具有严重的三尖瓣反流，使用新的和先进的MITRACLIP XTR系统进行经皮到边缘阀门传单。
3. Utility of MitraClip XTR system in percutaneous edge-to-edge mitral valve repair for severe flail leaflet [J] . Mohammed Al-Hijji, Abdallah El Sabbagh, Erin A Fender, Heart Views: The Official Journal of the Gulf Heart Association . 2020,第1期

机译：MitroaClip XTR系统在经皮到边缘二尖瓣修复中的严格枷锁传单
4. Distributed Mobility Anchoring Using Lisp Mobile Node and Ground-Based Xtrs [C] . Thomas McParland, Madhu Niraula, Jonathan Graefe Integrated Communications Navigation and Surveillance Conference . 2021

机译：使用LISP移动节点和基于地面XTR的分布式移动锚定
5. Mind the Gap: An 85-Year-Old Man with Severe Tricuspid Valve Regurgitation Who Underwent Percutaneous Edge-to-Edge Valve Leaflet Plication Using the New and Advanced MitraClip XTR System [O] . Karin Anne Lydia Mueller, Rezo Jorbenadze, Meinrad Gawaz, 2021

机译：思想差距：一个85岁的男子具有严重的三尖瓣反流使用新的和先进的MITRACLIP XTR系统进行经皮到边缘阀门传单。
6. THE MUSIC OF AFRICA: WILD LIFE SERIES Nos. 1 and 2. Birds of the Kruger National Park. Recorded and introduced by Clem Haagner, edited by Hugh Tracey. 45 r.p.m. 7", XTR 1/7044 and XTR 2/7045. International Library of African Music, P.O. Box 138, Roodepoort, Nr. Johannesburg, Transvaal, South Africa. [O] . R. Liversidge 1961

机译：非洲的音乐：野生生活系列号1和2.克鲁格国家公园的鸟。由Clem Haagner录制和介绍，由Hugh Tracey编辑。 45 r.p.m. 7“，XTR 1/7044和XTR 2/7045。国际非洲音乐图书馆，P.O. Box 138，Roodepoort，NR。Johannesburg，Transvaal，南非。

Looking beyond XTR

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