Totally and Partially Ambiguous Points of Planar Functions

1977 ◽  
Vol 2 (2) ◽  
pp. 109
Author(s):  
Mikkelson
Keyword(s):  
Planar Functions

A character theoretic approach to planar functions

2011 ◽  
Vol 3 (4) ◽  
pp. 293-300 ◽  
Author(s):  
Alexander Pott ◽  
Yue Zhou
Keyword(s):  
Theoretic Approach ◽  
Planar Functions

scholarly journals Planar functions and related group algebras

1992 ◽  
Vol 152 (1) ◽  
pp. 135-145 ◽  
Author(s):  
Yutaka Hiramine
Keyword(s):  
Group Algebras ◽  
Planar Functions ◽  
Related Group

scholarly journals Planar Functions from Zn to Zn

2000 ◽  
Vol 224 (2) ◽  
pp. 427-436 ◽  
Author(s):  
Ka Hin Leung ◽  
Siu Lun Ma ◽  
Victor Tan
Keyword(s):  
Planar Functions

Almost perfect and planar functions

2015 ◽  
Vol 78 (1) ◽  
pp. 141-195 ◽  
Author(s):  
Alexander Pott
Keyword(s):  
Planar Functions

scholarly journals Metamodel Defined Multidimensional Embedded Sequential Sampling Criteria

2004 ◽  
Author(s):  
Cameron J. Turner ◽  
Matthew I. Campbell ◽  
Richard H. Crawford
Keyword(s):  
Sequential Sampling ◽  
Sampling Techniques ◽  
Convergence Criteria ◽  
Preliminary Results ◽  
Planar Functions ◽  
Level Of Confidence ◽  
Higher Dimensional

Collecting data to characterize an unknown space presents a series of challenges. Where in the space should data be collected? What regions are more valuable than others to sample? When have sufficient samples been acquired to characterize the space with some level of confidence? Sequential sampling techniques offer an approach to answering these questions by intelligently sampling an unknown space. Sampling decisions are made with criteria intended to preferentially search the space for desirable features. However, N-dimensional applications need efficient and effective criteria. This paper discusses the evolution of several such criteria based on an understanding of the behaviors of existing criteria, and desired criteria properties. The resulting criteria are evaluated with a variety of planar functions, and preliminary results for higher dimensional applications are also presented. In addition, a set of convergence criteria, intended to evaluate the effectiveness of further sampling are implemented. Using these sampling criteria, an effective metamodel representation of the unknown space can be generated at reasonable sampling costs. Furthermore, the use of convergence criteria allows conclusions to be drawn about the level of confidence in the metamodel, and forms the basis for evaluating the adequacy of the original sampling budget.

On a generalization of planar functions

2019 ◽  
Vol 52 (2) ◽  
pp. 187-213 ◽  
Author(s):  
Daniele Bartoli ◽  
Marco Timpanella
Keyword(s):  
Planar Functions
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