Gaussian normal basis multiplier over GF(2 m ) using hybrid subquadratic‐and‐quadratic TMVP approach for elliptic curve cryptography

2017 ◽  
Vol 11 (6) ◽  
pp. 579-588 ◽  
Author(s):  
Che Wun Chiou ◽  
Yuh‐Sien Sun ◽  
Cheng‐Min Lee ◽  
Jim‐Min Lin ◽  
Tai‐Pao Chuang ◽  
...  
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Normal Basis ◽  
Gaussian Normal Basis

Fast Elliptic Curve Point Counting Using Gaussian Normal Basis

2002 ◽  
pp. 292-307 ◽  
Author(s):  
Hae Young Kim ◽  
Jung Youl Park ◽  
Jung Hee Cheon ◽  
Je Hong Park ◽  
Jae Heon Kim ◽  
...  
Keyword(s):  
Elliptic Curve ◽  
Normal Basis ◽  
Point Counting ◽  
Gaussian Normal Basis

scholarly journals Scalable Normal Basis Arithmetic Unit for Elliptic Curve Cryptography

10.14311/688 ◽  
2005 ◽  
Vol 45 (2) ◽  
Author(s):  
J. Schmidt ◽  
M. Novotný
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Additional Data ◽  
Public Key Cryptography ◽  
Normal Basis ◽  
Public Key ◽  
Arithmetic Unit ◽  
Inversion Algorithm ◽  
Implementation Data ◽  
And Inversion

The design of a scalable arithmetic unit for operations over elements of GF(2m) represented in normal basis is presented. The unit is applicable in public-key cryptography. It comprises a pipelined Massey-Omura multiplier and a shifter. We equipped the multiplier with additional data paths to enable easy implementation of both multiplication and inversion in a single arithmetic unit. We discuss optimum design of the shifter with respect to the inversion algorithm and multiplier performance. The functionality of the multiplier/inverter has been tested by simulation and implemented in Xilinx Virtex FPGA.We present implementation data for various digit widths which exhibit a time minimum for digit width D = 15.

scholarly journals Design of elliptic curve cryptoprocessors over GF(2^163) using the Gaussian normal basis

2014 ◽  
Vol 34 (2) ◽  
pp. 55-65 ◽  
Author(s):  
Paulo Cesar Realpe ◽  
Vladimir Trujillo-Olaya ◽  
Jaime Velasco-Medina
Keyword(s):  
Elliptic Curve ◽  
Normal Basis ◽  
Gaussian Normal Basis

Study of Safe Elliptic Curve Cryptography over Gaussian Integer

2020 ◽  
Vol E103.A (12) ◽  
pp. 1624-1628
Author(s):  
Kazuki NAGANUMA ◽  
Takashi SUZUKI ◽  
Hiroyuki TSUJI ◽  
Tomoaki KIMURA
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Gaussian Integer
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