Faculty

Institution

Unit

Venue

Xiang-dong Hou

Professor

University of South Florida

Affiliations

College of Arts and Sciences

School of Natural Sciences and Mathematics

Department of Mathematics & Statistics

Xiang-dong Hou is currently serving as a College Of Arts And Sciences Professor at University of South Florida.

Honors

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Experiences

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Education

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Xiang-dong Hou

University of South Florida

Professor

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mathematics applied mathematics combinatorial theory finite fields combinatorics algebraic geometry computer science spectral theory algebraic coding theory number theory algebraic combinatorics algebraic number theory combinatorial optimization representation theory group theory discrete mathematics applied algebra permutation polynomials analytic number theory finite geometry graph theory geometric topology information theory abstract complexity numerical mathematics modern algebra commutative algebra ring theory cryptanalysis matrix theory mathematical sciences code representation cryptographic technology applied physics function spaces theoretical mathematics logic in computer science communication security mathematical optimization general systems knot theory multi-terminal information theory cryptographic primitives computational number theory permutation trinomials rational functions cryptographic hardware discrete algorithms scientific computing analytic combinatorics finite model theory combinatorial designs combinatorial methods matrix factorization reed-muller codes quantum chemistry numerical simulations discrete integrable system oriented matroids discrete differential geometry error correction code modulation coding function theory algorithmic information theory bent functions permutation binomials certain exponential sums explicit evaluation tu-zeng permutation trinomial partial difference sets asymptotic number resilient functions cubic bent functions first-order reed-muller codes addition theorem chain rings algebra post-quantum cryptography

Notable Scholarly Works

Notable Federal Grants

Collaborators

An Approach to Normal Polynomials Through Symmetrization and Symmetric Reduction. Finite Fields and Their Applications (2024)

Darien ConnollyCalvin GeorgeXiang-dong HouAdam MadroVincenzo Pallozzi Lavorante

normal polynomialssymmetric reductionfinite fieldsfinite geometryapplied mathematicsalgebraic geometry

Some Algebraic Questions About the Reed-Muller Code. Journal of Algebra (2024)

Xiang-dong Hou

modern algebraalgebrareed-muller codealgebraic questions

A Criterion for the Normality of Polynomials Over Finite Fields Based on Their Coefficients. Finite Fields and Their Applications (2023)

Xiang-dong Hou

scientific computinglinear algebradifferential geometrygeometric topologynumerical mathematicsfinite model theoryfinite fieldsalgebraic number theoryfinite geometrynonlinear analysisalgebraic coding theoryspectral theoryapplied mathematicsorthogonal polynomialsalgebraic geometrycomputer sciencerepresentation theorymathematics

A General Construction of Permutation Polynomials of F Q 2. Finite Fields and Their Applications (2023)

Xiang-dong HouVincenzo Pallozzi Lavorante

general constructioncombinatoricsoriented matroidspermutation polynomialsapplied mathematicsmathematics

In Memory of Professor Zhexian Wan. Finite Fields and Their Applications (2023)

Xiang-dong HouGary L. MullenPeter ShiueDaqing WanQiang Wang

memoryprofessor zhexian wanapplied mathematics

New Results on Permutation Binomials of Finite Fields. Finite Fields and Their Applications (2023)

Xiang-dong HouVincenzo Pallozzi Lavorante

combinatoricsfinite fieldscombinatorial theoryfinite geometrycombinatorial optimizationapplied mathematicsalgebraic geometrymathematicspermutation binomials

On a Radical Extension of the Field of Rational Functions in Several Variables. Linear and Multilinear Algebra (2022)

Xiang-dong HouChristopher Sze

group theorymathematicsoperator theorydifferential geometrygeometric algebrarational functionsalgebraic analysisuniversal algebraseveral variablesgeometric topologynumerical mathematicsnon-commutative algebrasspectral theoryapplied mathematicsrepresentation theoryreal algebraic geometrylinear algebraradical extensiongeneral systemsfunction spaces

The Life and Work of Vera Stepen Pless. Notices of the American Mathematical Society (2022)

Steven T. DoughertyGretchen L MatthewsJay A. WoodJanet BeissingerR. BrualdiNick CrewsShmuel FriedlandXiang-Dong HouW Cary HuffmanJon-Lark KimNaomi PlessBen PlessDan PlessPatrick SoléSarah Spence AdamsVladimir D. TonchevHarold (Thann) WardJudy Walker

vera stepen plessmathematical analysismathematical biologycomparative literaturemathematical sciencesbiologybotanymathematics

A Power Sum Formula by Carlitz and Its Applications to Permutation Rational Functions of Finite Fields. Cryptography and Communications (2021)

Xiang-dong Hou

numerical analysisfinite fieldsgroup theorymathematicsrational functionscombinatorial theoryalgebraic analysispower sum formulanumber theoryapplied physicscombinatoricsalgebraic combinatoricsspectral theoryapplied mathematicsanalytic combinatoricscryptographyanalytic number theorygeneral systemscryptographic hardwarefunction spaces

On a Conjecture on Permutation Rational Functions Over Finite Fields. Finite Fields and Their Applications (2021)

Daniele BartoliXiang-dong Hou

representation theorycombinatoricsnumerical mathematicsfinite fieldsalgebraic combinatoricscombinatorial theoryalgebraic number theoryknot theorynumber theorycombinatorial optimizationapplied mathematicsspectral theorygeometry of numbersalgebraic geometrycomputer sciencepermutation rational functionsmathematicsabstract complexity

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Xiang-dong Hou

Professor

University of South Florida

Affiliations

College of Arts and Sciences

School of Natural Sciences and Mathematics

Department of Mathematics & Statistics

Xiang-dong Hou is currently serving as a College Of Arts And Sciences Professor at University of South Florida.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Xiang-dong Hou

University of South Florida

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

An Approach to Normal Polynomials Through Symmetrization and Symmetric Reduction. Finite Fields and Their Applications (2024)

Darien ConnollyCalvin GeorgeXiang-dong HouAdam MadroVincenzo Pallozzi Lavorante

normal polynomialssymmetric reductionfinite fieldsfinite geometryapplied mathematicsalgebraic geometry

Some Algebraic Questions About the Reed-Muller Code. Journal of Algebra (2024)

Xiang-dong Hou

modern algebraalgebrareed-muller codealgebraic questions

A Criterion for the Normality of Polynomials Over Finite Fields Based on Their Coefficients. Finite Fields and Their Applications (2023)

Xiang-dong Hou

A General Construction of Permutation Polynomials of F Q 2. Finite Fields and Their Applications (2023)

Xiang-dong HouVincenzo Pallozzi Lavorante

general constructioncombinatoricsoriented matroidspermutation polynomialsapplied mathematicsmathematics

In Memory of Professor Zhexian Wan. Finite Fields and Their Applications (2023)

Xiang-dong HouGary L. MullenPeter ShiueDaqing WanQiang Wang

memoryprofessor zhexian wanapplied mathematics

New Results on Permutation Binomials of Finite Fields. Finite Fields and Their Applications (2023)

Xiang-dong HouVincenzo Pallozzi Lavorante

combinatoricsfinite fieldscombinatorial theoryfinite geometrycombinatorial optimizationapplied mathematicsalgebraic geometrymathematicspermutation binomials

On a Radical Extension of the Field of Rational Functions in Several Variables. Linear and Multilinear Algebra (2022)

Xiang-dong HouChristopher Sze

The Life and Work of Vera Stepen Pless. Notices of the American Mathematical Society (2022)

vera stepen plessmathematical analysismathematical biologycomparative literaturemathematical sciencesbiologybotanymathematics

A Power Sum Formula by Carlitz and Its Applications to Permutation Rational Functions of Finite Fields. Cryptography and Communications (2021)

Xiang-dong Hou

On a Conjecture on Permutation Rational Functions Over Finite Fields. Finite Fields and Their Applications (2021)

Daniele BartoliXiang-dong Hou

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