On lower bounds of second-order nonlinearities of cubic bent functions constructed by concatenating Gold functions

2011 ◽  
Vol 88 (15) ◽  
pp. 3125-3135 ◽  
Author(s):  
Ruchi Gode ◽  
Sugata Gangopadhyay
Keyword(s):  
Lower Bounds ◽  
Second Order ◽  
Bent Functions

ChemInform Abstract: A STUDY OF THE UPPER AND LOWER BOUNDS OF THE SECOND-ORDER PERTURBATION ENERGY

1974 ◽  
Vol 5 (40) ◽  
pp. no-no
Author(s):  
TOKIO YAMABE ◽  
KAZUYOSHI TANAKA ◽  
SHINGO ISHIMARU ◽  
KENICHI FUKUI
Keyword(s):  
Lower Bounds ◽  
Second Order ◽  
Order Perturbation ◽  
Upper And Lower Bounds ◽  
Perturbation Energy

On the second-order nonlinearities of some bent functions

2013 ◽  
Vol 223 ◽  
pp. 322-330 ◽  
Author(s):  
Deng Tang ◽  
Claude Carlet ◽  
Xiaohu Tang
Keyword(s):  
Second Order ◽  
Bent Functions

On the lower bounds of the second order nonlinearities of some Boolean functions

2010 ◽  
Vol 180 (2) ◽  
pp. 266-273 ◽  
Author(s):  
Sugata Gangopadhyay ◽  
Sumanta Sarkar ◽  
Ruchi Telang
Keyword(s):  
Lower Bounds ◽  
Boolean Functions ◽  
Second Order

Multiplicity results for systems of asymptotically linear second order equations

2002 ◽  
Vol 2 (4) ◽  
Author(s):  
Anna Capietto ◽  
Francesca Dalbono
Keyword(s):  
Lower Bounds ◽  
Second Order ◽  
Upper And Lower Bounds ◽  
Asymptotically Linear ◽  
Multiplicity Results ◽  
Number Of Zeros ◽  
Existence And Multiplicity ◽  
Abstract Continuation Theorem ◽  
Nodal Properties ◽  
Second Order Equations

AbstractWe prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution.

The Lower Bound on the Second-Order Nonlinearity for a Class of Bent Functions

2012 ◽  
Vol 35 (8) ◽  
pp. 1588 ◽  
Author(s):  
Chun-Lei LI ◽  
Huan-Guo ZHANG ◽  
Xiang-Yong ZENG ◽  
Lei HU
Keyword(s):  
Lower Bound ◽  
Second Order ◽  
Bent Functions ◽  
Second Order Nonlinearity
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