Xiang-dong Hou

Orcid: 0000-0001-9412-0115

According to our database1, Xiang-dong Hou authored at least 81 papers between 1990 and 2025.

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Bibliography

2025
An approach to normal polynomials through symmetrization and symmetric reduction.
Finite Fields Their Appl., 2025

2024
A criterion for the normality of polynomials over finite fields based on their coefficients.
Finite Fields Their Appl., January, 2024

On Sum-Free Functions.
CoRR, 2024

More on the sum-freedom of the multiplicative inverse function.
CoRR, 2024

2023
In Memory of Professor Zhexian Wan.
Finite Fields Their Appl., December, 2023

New results on permutation binomials of finite fields.
Finite Fields Their Appl., June, 2023

A general construction of permutation polynomials of Fq2.
Finite Fields Their Appl., 2023

2021
On the Number of Affine Equivalence Classes of Boolean Functions and q-Ary Functions.
IEEE Trans. Inf. Theory, 2021

On a conjecture on permutation rational functions over finite fields.
Finite Fields Their Appl., 2021

On the Tu-Zeng permutation trinomial of type (1∕4, 3∕4).
Discret. Math., 2021

A power sum formula by Carlitz and its applications to permutation rational functions of finite fields.
Cryptogr. Commun., 2021

2020
Determination of a class of permutation trinomials in characteristic three.
Finite Fields Their Appl., 2020

On a type of permutation rational functions over finite fields.
Finite Fields Their Appl., 2020

More permutation polynomials with Niho exponents which permute Fq2.
Finite Fields Their Appl., 2020

The Möbius function of the affine linear group AGL (1, Fq).
Discret. Math., 2020

The Fifth International Students' Olympiad in cryptography - NSUCRYPTO: Problems and their solutions.
Cryptologia, 2020

On the Number of Affine Equivalence Classes of Boolean Functions.
CoRR, 2020

2019
On a conjecture of Fernando, Hou and Lappano concerning permutation polynomials over finite fields.
Finite Fields Their Appl., 2019

Optimal binary constant weight codes and affine linear groups over finite fields.
Des. Codes Cryptogr., 2019

On a class of permutation trinomials in characteristic 2.
Cryptogr. Commun., 2019

2018
Applications of the Hasse-Weil bound to permutation polynomials.
Finite Fields Their Appl., 2018

Complexities of normal bases constructed from Gauss periods.
Des. Codes Cryptogr., 2018

2017
Proof of a conjecture on monomial graphs.
Finite Fields Their Appl., 2017

2016
From r-linearized polynomial equations to r<sup>m</sup>-linearized polynomial equations.
Finite Fields Their Appl., 2016

Switchings of semifield multiplications.
Des. Codes Cryptogr., 2016

2015
Determination of a type of permutation trinomials over finite fields, II.
Finite Fields Their Appl., 2015

Permutation polynomials over finite fields - A survey of recent advances.
Finite Fields Their Appl., 2015

Lattice of ideals of the polynomial ring over a commutative chain ring.
Appl. Algebra Eng. Commun. Comput., 2015

2014
Permutation polynomials over finite fields involving x + x<sup>p</sup> + ... + x<sup>q<sup>a-1</sup></sup>.
Discret. Math., 2014

2013
Proof of a conjecture on permutation polynomials over finite fields.
Finite Fields Their Appl., 2013

A new approach to permutation polynomials over finite fields, II.
Finite Fields Their Appl., 2013

Galkin Quandles, Pointed Abelian Groups, and Sequence A000712.
Electron. J. Comb., 2013

Multivariate polynomials.
Proceedings of the Handbook of Finite Fields., 2013

2012
Sums of Reciprocals of Polynomials over Finite Fields.
Am. Math. Mon., 2012

A new approach to permutation polynomials over finite fields.
Finite Fields Their Appl., 2012

A piecewise construction of permutation polynomials over finite fields.
Finite Fields Their Appl., 2012

Classification of self dual quadratic bent functions.
Des. Codes Cryptogr., 2012

2011
Counting Partial Spread Functions in Eight Variables.
IEEE Trans. Inf. Theory, 2011

Two classes of permutation polynomials over finite fields.
J. Comb. Theory A, 2011

2010
Enumeration of AGL(m/3, double struck capital F<sub>p³</sub>)-invariant extended cyclic codes.
Int. J. Inf. Coding Theory, 2010

Necessary conditions for reversed Dickson polynomials to be permutational.
Finite Fields Their Appl., 2010

2009
On certain diagonal equations over finite fields.
Finite Fields Their Appl., 2009

Reversed Dickson polynomials over finite fields.
Finite Fields Their Appl., 2009

Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields.
Finite Fields Their Appl., 2009

2008
On the dual of a Coulter-Matthews bent function.
Finite Fields Their Appl., 2008

Hurwitz Equivalence in Tuples of Generalized Quaternion Groups and Dihedral Groups.
Electron. J. Comb., 2008

2007
On the Number of Inequivalent Binary Self-Orthogonal Codes.
IEEE Trans. Inf. Theory, 2007

On the asymptotic number of inequivalent binary self-dual codes.
J. Comb. Theory A, 2007

Explicit evaluation of certain exponential sums of binary quadratic functions.
Finite Fields Their Appl., 2007

On the asymptotic number of non-equivalent binary linear codes.
Finite Fields Their Appl., 2007

The affinity of a permutation of a finite vector space.
Finite Fields Their Appl., 2007

2006
Affinity of permutations of P<sub>2</sub><sup>n</sup>.
Discret. Appl. Math., 2006

2005
On the asymptotic number of non-equivalent <i>q</i>-ary linear codes.
J. Comb. Theory A, 2005

Enumeration of certain affine invariant extended cyclic codes.
J. Comb. Theory A, 2005

A note on the proof of a theorem of Katz.
Finite Fields Their Appl., 2005

2004
A Note on the Proof of Niho's Conjecture.
SIAM J. Discret. Math., 2004

p-Ary and q-ary versions of certain results about bent functions and resilient functions.
Finite Fields Their Appl., 2004

2003
Rings and constructions of partial difference sets.
Discret. Math., 2003

On Binary Resilient Functions.
Des. Codes Cryptogr., 2003

Group Actions on Binary Resilient Functions.
Appl. Algebra Eng. Commun. Comput., 2003

2001
The eigenmatrix of the linear association scheme on <i>R</i>(2, <i>m</i>).
Discret. Math., 2001

2000
Bent Functions, Partial Difference Sets, and Quasi-Frobenius Local Rings.
Des. Codes Cryptogr., 2000

1998
The Reed-Muller Code R(r, m) Is Not Z<sub>4</sub>-Linear for 3 <= r <= m-2.
IEEE Trans. Inf. Theory, 1998

Cubic bent functions.
Discret. Math., 1998

1997
On the norm and covering radius of the first-order Reed-Muller codes.
IEEE Trans. Inf. Theory, 1997

Results on Bent Functions.
J. Comb. Theory A, 1997

The Reed-Muller Code R(1, 7) Is Normal.
Des. Codes Cryptogr., 1997

1996
On the covering radius of R(1, m) in R(3, m).
IEEE Trans. Inf. Theory, 1996

Covering Radius of the Reed-Muller CodeR(1, 7) - A Simpler Proof.
J. Comb. Theory A, 1996

GL(m, 2) acting on R(r, m)/R(r-1, m).
Discret. Math., 1996

The Covering Radius of R(1, 9) in R(4, 9).
Des. Codes Cryptogr., 1996

1994
Classification of cosets of the Reed-Muller code R(m-3, m).
Discret. Math., 1994

1993
Some results on the covering radii of Reed-Muller codes.
IEEE Trans. Inf. Theory, 1993

Further Results on the Covering Radii of the Reed-Muller Codes.
Des. Codes Cryptogr., 1993

1992
On the<i>G</i>-matrices with entries and eigenvalues in<i>Q(i)</i>.
Graphs Comb., 1992

Some Inequalities about the Covering Radius of Reed-Muller Codes.
Des. Codes Cryptogr., 1992

1991
On the covering radius of subcodes of a code.
IEEE Trans. Inf. Theory, 1991

Binary linear quasi-perfect codes are normal.
IEEE Trans. Inf. Theory, 1991

1990
An improved sphere covering bound for the codes with n = 3R + 2.
IEEE Trans. Inf. Theory, 1990

New lower bounds for covering codes.
IEEE Trans. Inf. Theory, 1990

Some results on the norm of codes.
IEEE Trans. Inf. Theory, 1990


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