An Optimized Algebraic Method for Higher Order Differential Attack

2003 ◽  
pp. 61-70 ◽  
Author(s):  
Yasuo Hatano ◽  
Hidema Tanaka ◽  
Toshinobu Kaneko
Keyword(s):  
Algebraic Method ◽  
Higher Order ◽  
Differential Attack

scholarly journals Another Look at the Integral Attack by the Higher-Order Differential Attack

2012 ◽  
Vol 35 (9) ◽  
pp. 1906 ◽  
Author(s):  
Le DONG ◽  
Wen-Ling WU ◽  
Shuang WU ◽  
Jian ZOU
Keyword(s):  
Higher Order ◽  
Differential Attack ◽  
Integral Attack

Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Wenying Cui ◽  
Yinping Liu ◽  
Zhibin Li
Keyword(s):  
Fluid Dynamics ◽  
Algebraic Method ◽  
Higher Order ◽  
Decomposition Algorithm ◽  
Periodic Waves ◽  
Order Interaction ◽  
Interaction Solutions ◽  
Petviashvili Equation ◽  
Bkp Equation ◽  
Interaction Phenomena

Abstract In this paper, a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equation is investigated and its various new interaction solutions among solitons, rational waves and periodic waves are obtained by the direct algebraic method, together with the inheritance solving technique. The results are fantastic interaction phenomena, and are shown by figures. Meanwhile, any higher order interaction solutions among solitons, breathers, and lump waves are constructed by an N-soliton decomposition algorithm developed by us. These innovative results greatly enrich the structure of the solutions of this equation.

scholarly journals Higher Order Differential Attack of Camellia(II)

2003 ◽  
pp. 129-146 ◽  
Author(s):  
Yasuo Hatano ◽  
Hiroki Sekine ◽  
Toshinobu Kaneko
Keyword(s):  
Higher Order ◽  
Differential Attack

scholarly journals Partial and Higher Order Differentials and Applications to the DES

1995 ◽  
Vol 2 (9) ◽  
Author(s):  
Lars Ramkilde Knudsen
Keyword(s):  
Block Cipher ◽  
Higher Order ◽  
Differential Attack ◽  
Running Time ◽  
Differential Attacks ◽  
Derivatives Of ◽  
Discrete Functions

In 1994 Lai considered higher order derivatives of discrete functions and<br />introduced the concept of higher order differentials. We introduce the concept<br />of partial differentials and present attacks on ciphers presumably secure<br />against differential attacks, but vulnerable to attacks using higher order and<br />partial differentials. Also we examine the DES for partial and higher order<br />differentials and give a differential attack using partial differentials on DES<br />reduced to 6 rounds using only 46 chosen plaintexts with an expected running time of about the time of 3,500 encryptions. Finally it is shown how to find a minimum nonlinear order of a block cipher using higher order differentials.

Higher Order Differential Attack on 6-Round MISTY1

2009 ◽  
Vol E92-A (1) ◽  
pp. 3-10 ◽  
Author(s):  
Yukiyasu TSUNOO ◽  
Teruo SAITO ◽  
Hiroki NAKASHIMA ◽  
Maki SHIGERI
Keyword(s):  
Higher Order ◽  
Differential Attack

Rogue waves on the periodic background in the higher-order modified Korteweg-de Vries equation

2020 ◽  
pp. 2150081
Author(s):  
Fa Chen ◽  
Hai-Qiang Zhang
Keyword(s):  
Vries Equation ◽  
Algebraic Method ◽  
Rogue Waves ◽  
Periodic Wave ◽  
Mkdv Equation ◽  
Higher Order ◽  
Jacobi Elliptic Function ◽  
Order Model ◽  
Periodic Wave Solutions ◽  
De Vries

In this paper, we investigate the higher-order modified Korteweg–de Vries (mKdV) equation by using an algebraic method. On the background of the Jacobi elliptic function, we obtain the admissible eigenvalues and the corresponding non-periodic eigenfunctions of the spectral problem in this higher-order model. Then, with the aid of the Darboux transformation (DT), we derive the rogue dn- and cn-periodic wave solutions. Finally, we analyze the non-linear dynamics of two kinds of rogue periodic waves.

Improving the higher order differential attack and cryptanalysis of the KN cipher

1998 ◽  
pp. 32-42 ◽  
Author(s):  
Takeshi Shimoyama ◽  
Shiho Moriai ◽  
Toshinobu Kaneko
Keyword(s):  
Higher Order ◽  
Differential Attack
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