Xiang-dong Hou

发表

Counting Partial Spread Functions in Eight Variables

Philippe Langevin, Xiang-dong Hou, P. Langevin, 2011, IEEE Transactions on Information Theory.

New Partial Difference Sets in Ztp2 and a Related Problem about Galois Rings

K. H. Leung, Xiang-dong Hou, Qing Xiang, 2001 .

Polynomials Meeting Ax's Bound

Xiang-dong Hou, 2015, 1512.04997.

q-ary Bent Functions Constructed from Chain Rings

Xiang-dong Hou, 1998 .

The Reed-Muller Code Is Not -Linear for

Xiang-dong Hou, J. Lahtonen, Sami Koponen, 1998 .

The covering radius of R(1, 9) in R(4, 9)

Xiang-Dong Hou, Xiang-dong Hou, 1996 .

On the coefficients of binary bent functions

Xiang-dong Hou, Xiang-dong Hou, 1999 .

Permutation Polynomials of the form ${\tt X}^r(a+{\tt X}^{2(q-1)})$ --- A Nonexistence Result

Xiang-dong Hou, 2016, 1609.03662.

Permutation Polynomials of $\Bbb F_{q^2}$ of the form $a{\tt X}+{\tt X}^{r(q-1)+1}$

Xiang-dong Hou, 2015, 1510.00437.

On a conjecture on permutation polynomials over finite fields.

Wun-Seng Chou, Xiang-dong Hou, 2018, 1806.11473.

Automorphism groups of Alexander quandles

Xiang-dong Hou, 2011 .

Third Power of the Reversed Dickson Polynomial over Finite Fields

Xiang-dong Hou, Xiang-dong Hou, 2011, 1104.0201.

On the groups of units of finite commutative chain rings

Xiang-dong Hou, Siu Lun Ma, Ka Hin Leung, 2003 .

Finite Commutative Chain Rings

Xiang-dong Hou, 2001 .

Classification of p-ary self dual quadratic bent functions, p odd ☆

Xiang-dong Hou, 2013 .

Explicit Evaluation of Certain Exponential Sums of Quadratic Functions over $\Bbb F_{p^n}$, $p$ Odd

Xiang-dong Hou, Sandra D Draper, 2007, 0708.3619.

The M\"obius Function of the Affine Linear Group $\text{AGL}(1,\Bbb F_q)$

Xiang-dong Hou, 2020, 2001.10154.

Rational functions of degree four that permute the projective line over a finite field

Xiang-dong Hou, 2020, 2005.07213.

Some Algebraic Questions about the Reed-Muller Code

Xiang-dong Hou, 2022, 2209.00169.

Extended differential properties of cryptographic functi

A. Canteaut, Xiang-dong Hou, 2013 .

Enumeration of isomorphism classes of extensions of p-adic fields

Xiang-dong Hou, Kevin Keating, 2001, math/0110055.

PGL(2,Fq) acting on Fq(x)

Xiang-dong Hou, 2020 .

Switchings of semifield multiplications

Xiang-dong Hou, Yue Zhou, Ferruh Özbudak, 2014, Des. Codes Cryptogr..

A Ring Theoretic Construction of Hadamard Difference Sets in ℤ8n×ℤ2n

Xiang-dong Hou, 2005 .

Two Generalized Constructions of Relative Difference Sets

Xiang-dong Hou, S. Sehgal, 2000 .

On global P-forms

Xiang-dong Hou, 2016 .

On Global $\mathcal P$-Forms

Xiang-dong Hou, 2014, 1405.4816.

On the analytic solution of the Cauchy problem

Xiang-dong Hou, 2008 .

The Möbius function of the affine linear group AGL (1, Fq)

Xiang-dong Hou, Xiang-dong Hou, 2020, Discret. Math..

The eigenmatrix of the linear association scheme on R(2, m)

Xiang-dong Hou, Xiang-dong Hou, 2001, Discret. Math..

Elementary divisors of tensor products and p-ranks of binomial matrices

Xiang-dong Hou, 2003 .

Finite Frobenius Rings and Their Applications

Xiang-dong Hou, 2007 .

A note on the proof of a theorem of Katz

Xiang-Dong Hou, Xiang-dong Hou, 2005, Finite Fields Their Appl..

Proof of a conjecture on monomial graphs

Felix Lazebnik, Xiang-dong Hou, Stephen D. Lappano, 2015, Finite Fields Their Appl..

p-Ary and q-ary versions of certain results about bent functions and resilient functions

Xiang-Dong Hou, Xiang-dong Hou, 2004, Finite Fields Their Appl..

Rings and constructions of partial difference sets

Xiang-Dong Hou, Xiang-dong Hou, 2003, Discret. Math..

New partial difference sets in p‐groups

Xiang-Dong Hou, Xiang-dong Hou, 2002 .

Binary linear quasi-perfect codes are normal

Xiang-dong Hou, Xiang-dong Hou, 1991, IEEE Trans. Inf. Theory.

An improved sphere covering bound for the codes with n = 3R + 2

XIANG-DONG HOU, Xiang-dong Hou, 1990, IEEE Trans. Inf. Theory.

New lower bounds for covering codes

Xiang-dong Hou, Xiang-dong Hou, 1990, IEEE Trans. Inf. Theory.

Some results on the norm of codes

Xiang-dong Hou, Xiang-dong Hou, 1990, IEEE Trans. Inf. Theory.

A new approach to permutation polynomials over finite fields

Xiang-Dong Hou, Xiang-dong Hou, 2012, Finite Fields Their Appl..

Two classes of permutation polynomials over finite fields

Xiang-dong Hou, Xiang-dong Hou, 2011, J. Comb. Theory, Ser. A.

Solution to a problem of S. Payne

Xiang-dong Hou, Xiang-dong Hou, 2003 .

Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields

Xiang-dong Hou, Gary L. Mullen, G. Mullen, 2008, Finite Fields Their Appl..

On a type of permutation rational functions over finite fields

Xiang-dong Hou, Christopher Sze, 2019, Finite Fields Their Appl..

On a radical extension of the field of rational functions in several variables

Xiang-dong Hou, Christopher Sze, 2020, Linear and Multilinear Algebra.

A power sum formula by Carlitz and its applications to permutation rational functions of finite fields

Xiang-dong Hou, Xiang-dong Hou, 2020, Cryptography and Communications.

More permutation polynomials with Niho exponents which permute Fq2

Xiwang Cao, Shanding Xu, Xiang-Dong Hou, 2020, Finite Fields Their Appl..

An application of the Hasse--Weil bound to rational functions over finite fields

Xiang-dong Hou, Annamaria Iezzi, 2019, Acta Arithmetica.

On a conjecture of Fernando, Hou and Lappano concerning permutation polynomials over finite fields

Xiang-dong Hou, Wun-Seng Chou, Wun-Seng Chou, 2019, Finite Fields Their Appl..

Applications of the Hasse-Weil bound to permutation polynomials

Xiang-dong Hou, Xiang-dong Hou, 2018, Finite Fields Their Appl..

On the roots of certain Dickson polynomials

A. Blokhuis, Wun-Seng Chou, Xiang-dong Hou, 2018, Journal of Number Theory.

From r-linearized polynomial equations to rm-linearized polynomial equations

Xiang-dong Hou, Neranga Fernando, Xiang-dong Hou, 2015, Finite Fields Their Appl..

Permutation polynomials over finite fields - A survey of recent advances

Xiang-dong Hou, Xiang-dong Hou, 2015, Finite Fields Their Appl..

Determination of a type of permutation binomials over finite fields

Xiang-dong Hou, Stephen D. Lappano, Xiang-dong Hou, 2015 .

Permutation polynomials over finite fields involving x + xp + ... + xqa-1

Xiang-dong Hou, Neranga Fernando, Stephen D. Lappano, 2014, Discret. Math..

On the dimension of the space of magic squares over a field

James A. Sellers, Ana G. Lecuona, G. Mullen, 2013 .

Proof of a conjecture on permutation polynomials over finite fields

Xiang-dong Hou, Xiang-dong Hou, 2013, Finite Fields Their Appl..

A Class of Permutation Binomials over Finite Fields

Xiang-dong Hou, Xiang-dong Hou, 2012, 1210.0881.

Classification of self dual quadratic bent functions

Xiang-Dong Hou, Xiang-dong Hou, 2012, Des. Codes Cryptogr..

Necessary conditions for reversed Dickson polynomials to be permutational

Xiang-dong Hou, Tue Ly, Xiang-dong Hou, 2010, Finite Fields Their Appl..

Reversed Dickson polynomials over finite fields

Xiang-dong Hou, Joseph L. Yucas, Gary L. Mullen, 2009, Finite Fields Their Appl..

On certain diagonal equations over finite fields

Xiang-Dong Hou, Christopher Sze, Xiang-dong Hou, 2009, Finite Fields Their Appl..

Rational power series, sequential codes and periodicity of sequences

Benigno R. Parra-Avila, S. López-Permouth, Xiang-dong Hou, 2009 .

Affinity of permutations of P2n

Xiang-dong Hou, Xiang-dong Hou, 2006, Discret. Appl. Math..

Connected quandles associated with pointed abelian groups

Xiang-dong Hou, M. Elhamdadi, M. Saito, 2011, 1107.5777.

Finite Modules over $\Bbb Z[t,t^{-1}]$

Xiang-dong Hou, 2011, 1107.2076.

FINITE MODULES OVER ℤ[t, t-1]

Xiang-dong Hou, 2012 .

Lattice of ideals of the polynomial ring over a commutative chain ring

Xiang-dong Hou, Xiang-dong Hou, 2013, Applicable Algebra in Engineering, Communication and Computing.

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

Xiang-dong Hou, 2019, Discret. Math..

Determination of a class of permutation trinomials in characteristic three

Xiang-dong Hou, Xiangyong Zeng, Ziran Tu, 2018, Finite Fields Their Appl..

On a class of permutation trinomials in characteristic 2

Xiang-dong Hou, Xiang-dong Hou, 2018, Cryptography and Communications.

Determination of a type of permutation binomials over finite fields

Stephen D. Lappano, Xiang-dong Hou, 2013, 1312.5283.

Determination of a type of permutation trinomials over finite fields, II

Xiang-dong Hou, Xiang-dong Hou, 2013, Finite Fields Their Appl..

New results on permutation binomials of finite fields

Vincenzo Pallozzi Lavorante, Xiang-dong Hou, Xiang-dong Hou, 2021, Finite Fields Their Appl..

A general construction of permutation polynomials of Fq2

Vincenzo Pallozzi Lavorante, Xiang-dong Hou, 2023, Finite Fields Their Appl..

A class of permutation trinomials over finite fields

Xiang-dong Hou, Xiang-dong Hou, 2013, 1303.0568.

Sums of Reciprocals of Polynomials over Finite Fields

Xiang-dong Hou, Gary L. Mullen, Kenneth Hicks, 2012, Am. Math. Mon..

Explicit evaluation of certain exponential sums of binary quadratic functions

Xiang-Dong Hou, Xiang-dong Hou, 2007, Finite Fields Their Appl..

Results on Bent Functions

Philippe Langevin, Xiang-dong Hou, P. Langevin, 1997, J. Comb. Theory, Ser. A.

A Criterion for the Normality of Polynomials over Finite Fields Based on Their Coefficients

Xiang-dong Hou, 2022, 2212.04978.

A new approach to permutation polynomials over finite fields, II

Neranga Fernando, Xiang-dong Hou, Stephen D. Lappano, 2012, Finite Fields Their Appl..

Classification of self dual quadratic bent functions

Xiang-dong Hou, 2011, Designs, Codes and Cryptography.

Lectures on Finite Fields

Xiang-dong Hou, 2018, Graduate Studies in Mathematics.

On the asymptotic number of non-equivalent binary linear codes

Xiang-dong Hou, Xiang-dong Hou, 2007, Finite Fields Their Appl..

On the asymptotic number of inequivalent binary self-dual codes

Xiang-dong Hou, Xiang-dong Hou, 2007, J. Comb. Theory, Ser. A.

On the asymptotic number of non-equivalent q-ary linear codes

Xiang-Dong Hou, Xiang-dong Hou, 2005, Journal of combinatorial theory. Series A.

A construction of finite Frobenius rings and its application to partial difference sets

Xiang-dong Hou, Xiang-dong Hou, A. A. Nechaev, 2007 .

Enumeration of certain affine invariant extended cyclic codes

Xiang-Dong Hou, Xiang-dong Hou, 2005, J. Comb. Theory, Ser. A.

Bent Functions, Partial Difference Sets, and Quasi-Frobenius Local Rings

Xiang-dong Hou, Xiang-dong Hou, 2000, Des. Codes Cryptogr..

Multivariate polynomials

Xiang-dong Hou, Xiang-dong Hou, 2013, Handbook of Finite Fields.

Asymptotic numbers of non-equivalent codes in three notions of equivalence

Xiang-dong Hou, 2009 .