Algebraic Immunity Hierarchy of Boolean Functions. - Ziran Tu; Yingpu Deng (IACR Cryptol. ePrint Arch., 2007)

A New Lattice-Based Cryptosystem Mixed with a Knapsack. - Yanbin Pan; Yingpu Deng; Yupeng Jiang; Ziran Tu (IACR Cryptol. ePrint Arch., 2009)

A Conjecture on Binary String and Its Applications on Constructing Boolean Functions of Optimal Algebraic Immunity. - Ziran Tu; Yingpu Deng (IACR Cryptol. ePrint Arch., 2009)

A Class of 1-Resilient Function with High Nonlinearity and Algebraic Immunity. - Ziran Tu; Yingpu Deng (IACR Cryptol. ePrint Arch., 2010)

Boolean functions with all main cryptographic properties. - Ziran Tu; Yingpu Deng (IACR Cryptol. ePrint Arch., 2010)

A New Lattice-Based Public-Key Cryptosystem Mixed with a Knapsack. - Yanbin Pan; Yingpu Deng; Yupeng Jiang; Ziran Tu (CANS, 2011)

Boolean functions with two distinct Walsh coefficients. - Ziran Tu; Dabin Zheng; Xiangyong Zeng; Lei Hu (Appl. Algebra Eng. Commun. Comput., 2011)

A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity. - Ziran Tu; Yingpu Deng (Des. Codes Cryptogr., 2011)

Boolean functions optimizing most of the cryptographic criteria. - Ziran Tu; Yingpu Deng (Discret. Appl. Math., 2012)

A Class of Binomial Permutation Polynomials. - Ziran Tu; Xiangyong Zeng; Lei Hu 003; Chunlei Li 001 (CoRR, 2013)

Constructing odd Variable Boolean Functions with Optimal Algebraic Immunity. - Ziran Tu; Yupeng Jiang; Xiangyong Zeng (Int. J. Found. Comput. Sci., 2013)

Several classes of complete permutation polynomials. - Ziran Tu; Xiangyong Zeng; Lei Hu (Finite Fields Their Appl., 2014)

Two classes of permutation polynomials having the form (x2m+x+δ)s+x. - Ziran Tu; Xiangyong Zeng; Yupeng Jiang (Finite Fields Their Appl., 2015)

Permutation polynomials of the form (xpm-x+δ)s+L(x) over the finite field Fp2m of odd characteristic. - Ziran Tu; Xiangyong Zeng; Chunlei Li 001; Tor Helleseth (Finite Fields Their Appl., 2015)

Permutation polynomials from trace functions over finite fields. - Xiangyong Zeng; Shizhu Tian; Ziran Tu (Finite Fields Their Appl., 2015)

More permutation polynomials with differential uniformity six. - Ziran Tu; Xiangyong Zeng; Zhiyong Zhang 002 (Sci. China Inf. Sci., 2018)

A class of permutation quadrinomials. - Ziran Tu; Xiangyong Zeng; Tor Helleseth (Discret. Math., 2018)

Two classes of permutation trinomials with Niho exponents. - Ziran Tu; Xiangyong Zeng (Finite Fields Their Appl., 2018)

New permutation quadrinomials over F22m. - Ziran Tu; Xiangyong Zeng; Tor Helleseth (Finite Fields Their Appl., 2018)

A class of new permutation trinomials. - Ziran Tu; Xiangyong Zeng; Chunlei Li 001; Tor Helleseth (Finite Fields Their Appl., 2018)

Non-Monomial Permutations with Differential Uniformity Six. - Ziran Tu; Xiangyong Zeng (J. Syst. Sci. Complex., 2018)

Walsh Spectrum Analysis on Sampling Distributions. - Navid Ghaedi Bardeh; Isaac Andrés Canales Martinez; Stian Fauskanger; Chunlei Li; Nian Li; Xiaxi Li; Yi Lu; Bo Sun; Andrea Tenti; Ziran Tu; Srimathi Varadharajan; Irene Villa; et al. (IEEE DataPort, 2018)

A class of permutation trinomials over finite fields of odd characteristic. - Ziran Tu; Xiangyong Zeng (Cryptogr. Commun., 2019)

A revisit to a class of permutation quadrinomials. - Ziran Tu; Xianping Liu; Xiangyong Zeng (Finite Fields Their Appl., 2019)

Determination of a class of permutation trinomials in characteristic three. - Xiang-dong Hou; Ziran Tu; Xiangyong Zeng (Finite Fields Their Appl., 2020)

Several classes of complete permutation polynomials over finite fields of even characteristic. - Ziran Tu; Xiangyong Zeng; Jinxiu Mao; Junchao Zhou (Finite Fields Their Appl., 2020)

A Class of Quadrinomial Permutations With Boomerang Uniformity Four. - Ziran Tu; Nian Li; Xiangyong Zeng; Junchao Zhou (IEEE Trans. Inf. Theory, 2020)

A class of APcN power functions over finite fields of even characteristic. - Ziran Tu; Xiangyong Zeng; Yupeng Jiang; Xiaohu Tang (CoRR, 2021)

Binomial permutations over finite fields with even characteristic. - Ziran Tu; Xiangyong Zeng; Yupeng Jiang; Yan Li (Des. Codes Cryptogr., 2021)

On the Differential Spectrum and the APcN Property of a Class of Power Functions Over Finite Fields. - Ziran Tu; Nian Li; Yanan Wu; Xiangyong Zeng; Xiaohu Tang; Yupeng Jiang (IEEE Trans. Inf. Theory, 2023)

A Novel Approach for Bent Functions with Dillon-like Exponents and Characterizing Three Classes of Bent Functions via Kloosterman Sums. - Ziran Tu; Sihem Mesnager; Xiangyong Zeng; Nian Li; Yupeng Jiang; YaNan Deng (CoRR, 2024)