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1. Antiderivative functions over \(\mathbb {F}_{2^n}\)

作者： Valentin Suder

关键词：Derivative functions ; Higher order derivative functions ; Antidifferentiation over \(\mathbb {F}_{2^n}\) ; Antiderivative functions ; Linear structure ; Quadratic APN functions

刊名：Designs, Codes and Cryptography

出版年：2017

2. Some Results on the Known Classes of Quadratic APN Functions

关键词：APN function ; Quadratic function ; Walsh spectrum

刊名：Lecture Notes in Computer Science

出版年：2017

3. Quadratic zero-difference balanced functions, APN functions and strongly regular graphs

作者： Claude Carlet ; Guang Gong ; Yin Tan

关键词：Zero ; difference balanced functions ; Almost perfect nonlinear functions ; Strongly regular graphs ; 11T06 ; 11T71 ; 05E30

刊名：Designs, Codes and Cryptography

出版年：2016

4. Equivalences of power APN functions with power or quadratic APN functions

作者： Satoshi Yoshiara

关键词：Almost perfect nonlinear (APN) function ; Carlet–Charpin–Zinoviev (CCZ) equivalence ; Extended affine (EA) equivalence ; Quadratic APN function ; Power APN function ; Dimensional dual hyperoval (DHO)

刊名：Journal of Algebraic Combinatorics

出版年：2016

5. Quasi-perfect linear codes from planar and APN functions

作者： Chunlei Li ; Tor Helleseth

刊名：Cryptography and Communications

出版年：2016

6. A matrix approach for constructing quadratic APN functions

作者：Yuyin Yu (1)
Mingsheng Wang (1)
Yongqiang Li (1)

关键词：Quadratic functions ; APN ; EA ; equivalence ; CCZ ; equivalence ; 06E30 ; 11T06 ; 94A60

刊名：Designs, Codes and Cryptography

出版年：2014

7. On the Properties of Vectorial Functions with Plateaued Components and Their Consequences on APN Functions

刊名：Lecture Notes in Computer Science

出版年：2015

8. On the Walsh spectrum of a family of quadratic APN functions with five terms

作者：LongJiang Qu (1)
Yin Tan (2)
Chao Li (1) (3)

关键词：APN function ; Walsh spectrum ; nonlinearity ; quadratic polynomial ; polynomial with no zeros

刊名：SCIENCE CHINA Information Sciences

出版年：2014

9. Differentially 4-uniform bijections by permuting the inverse function

作者： Deng Tang ; Claude Carlet ; Xiaohu Tang

关键词：Block cipher ; Substitution box ; Differentially 4 ; uniform bijection ; CCZ ; equivalence ; Nonlinearity ; 06E30 ; 11T71 ; 94A60

刊名：Designs, Codes and Cryptography

出版年：2015

10. Constructing differentially 4-uniform permutations over GF(22m ) from quadratic APN permutations over GF(22m+1)

作者：Yongqiang Li (1)
Mingsheng Wang (1)

关键词：Permutation ; Differential uniformity ; Nonlinearity ; Algebraic degree ; 06E30 ; 11T06 ; 94A60

刊名：Designs, Codes and Cryptography

出版年：2014

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