scholarly journals A Construction Method of an Isomorphic Map between Quadratic Extension Fields Applicable for SIDH

2020 ◽  
Vol E103.A (12) ◽  
pp. 1403-1406
Author(s):  
Yuki NANJO ◽  
Masaaki SHIRASE ◽  
Takuya KUSAKA ◽  
Yasuyuki NOGAMI
Keyword(s):  
Quadratic Extension ◽  
Construction Method

Construction Method of Equivalent Systems for Bulk Power System

2009 ◽  
Vol 129 (5) ◽  
pp. 715-716
Author(s):  
Shoichi Minami ◽  
Satoshi Morii ◽  
Suo Lian ◽  
Shunji Kawamoto
Keyword(s):  
Power System ◽  
Construction Method ◽  
Equivalent Systems ◽  
Bulk Power

Existence

2017 ◽  
Author(s):  
Bernhard M¨uhlherr ◽  
Holger P. Petersson ◽  
Richard M. Weiss
Keyword(s):  
Division Algebra ◽  
Quadratic Forms ◽  
Structure Theorem ◽  
Quadratic Extension ◽  
Quadratic Space ◽  
Division Algebras ◽  
Separable Extension ◽  
Valued Fields ◽  
Quaternion Division Algebra

This chapter proves that Bruhat-Tits buildings exist. It begins with a few definitions and simple observations about quadratic forms, including a 1-fold Pfister form, followed by a discussion of the existence part of the Structure Theorem for complete discretely valued fields due to H. Hasse and F. K. Schmidt. It then considers the generic unramified cases; the generic semi-ramified cases, the generic ramified cases, the wild unramified cases, the wild semi-ramified cases, and the wild ramified cases. These cases range from a unique unramified quadratic space to an unramified separable quadratic extension, a tamely ramified division algebra, a ramified separable quadratic extension, and a unique unramified quaternion division algebra. The chapter also describes ramified quaternion division algebras D₁, D₂, and D₃ over K containing a common subfield E such that E/K is a ramified separable extension.

Ontology-based service network platform and its construction method

2010 ◽  
Vol 30 (8) ◽  
pp. 2170-2172
Author(s):  
Hui WANG ◽  
Zhi-yong FENG ◽  
Ju CHEN ◽  
Shi-zhan CHEN
Keyword(s):  
Construction Method ◽  
Service Network ◽  
Network Platform

A Differential Frequency Hopping Code Generator Construction Method

2010 ◽  
Vol 32 (4) ◽  
pp. 816-820 ◽  
Author(s):  
Bin-hong Dong ◽  
Shao-qian Li ◽  
Feng-qi Shi
Keyword(s):  
Frequency Hopping ◽  
Construction Method ◽  
Code Generator
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