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## Hou, Xiang-Dong

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 Author ID: hou.xiang-dong Published as: Hou, X.; Hou, Xiang-Dong; Hou, Xiang-dong; Hou, Xiangdong
 Documents Indexed: 113 Publications since 1987, including 1 Book
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#### Co-Authors

 78 single-authored 4 Fernando, Neranga 4 Lappano, Stephen D. 4 Mullen, Gary L. 3 Clark, W. Edwin 3 Leung, Ka Hin 2 Cao, Xiwang 2 Chou, Wunseng 2 Langevin, Philippe 2 Sehgal, Surinder K. 2 Sellers, James Allen 2 Sze, Christopher 2 Xiang, Qing 1 Blokhuis, Aart 1 Elhamdadi, Mohamed 1 Hicks, Kenneth H. 1 Iezzi, Annamaria 1 Keating, Kevin 1 Koponen, Sami 1 Lahtonen, Jyrki T. 1 Lazebnik, Felix 1 Lecuona, Ana G. 1 López-Permouth, Sergio Roberto 1 Ly, Tue 1 Ma, Siu Lun 1 McColm, Gregory L. 1 Mi, Jiafu 1 Mihailovs, Alec 1 Nechaev, Aleksandr Aleksandrovich 1 Özbudak, Ferruh 1 Parra-Avila, Benigno R. 1 Saito, Masahico 1 Tu, Ziran 1 Xu, Shanding 1 Yeatman, Timothy 1 Yucas, Joseph L. 1 Zeng, Xiangyong 1 Zhou, Yue
all top 5

#### Serials

 27 Finite Fields and their Applications 11 IEEE Transactions on Information Theory 10 Designs, Codes and Cryptography 8 Discrete Mathematics 7 Journal of Number Theory 6 Journal of Combinatorial Theory. Series A 4 Acta Arithmetica 4 Journal of Algebra 4 Linear Algebra and its Applications 3 Proceedings of the American Mathematical Society 2 Ars Combinatoria 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 2 Journal of Combinatorial Designs 1 American Mathematical Monthly 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Journal of Combinatorics, Information & System Sciences 1 Journal of Pure and Applied Algebra 1 Pacific Journal of Mathematics 1 Chinese Annals of Mathematics. Series A 1 Graphs and Combinatorics 1 SIAM Journal on Discrete Mathematics 1 Journal of Knot Theory and its Ramifications 1 Graduate Studies in Mathematics 1 Cryptography and Communications 1 International Journal of Information and Coding Theory
all top 5

#### Fields

 53 Number theory (11-XX) 42 Information and communication theory, circuits (94-XX) 25 Combinatorics (05-XX) 11 Group theory and generalizations (20-XX) 7 Associative rings and algebras (16-XX) 6 Commutative algebra (13-XX) 6 Algebraic geometry (14-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Field theory and polynomials (12-XX) 4 Manifolds and cell complexes (57-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX)

#### Citations contained in zbMATH Open

92 Publications have been cited 725 times in 416 Documents Cited by Year
Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128
Hou, Xiang-dong
2015
Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093
Hou, Xiang-Dong
2015
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
2009
Two classes of permutation polynomials over finite fields. Zbl 1230.11146
Hou, Xiang-Dong
2011
Cubic bent functions. Zbl 0949.94003
Hou, Xiang-Dong
1998
A survey of permutation binomials and trinomials over finite fields. Zbl 1418.11153
Hou, Xiang-dong
2015
Results on bent functions. Zbl 0896.05011
Hou, Xiang-dong; Langevin, Philippe
1997
$$p$$-ary and $$q$$-ary versions of certain results about bent functions and resilient functions. Zbl 1076.11062
Hou, Xiang-Dong
2004
Determination of a type of permutation trinomials over finite fields. Zbl 1343.11092
Hou, Xiang-Dong
2014
A class of permutation trinomials over finite fields. Zbl 1294.11210
Hou, Xiang-Dong
2014
Affinity of permutations of $$\mathbb F_{2}^{n}$$. Zbl 1089.94020
Hou, Xiang-dong
2006
A piecewise construction of permutation polynomials over finite fields. Zbl 1254.05008
Fernando, Neranga; Hou, Xiang-Dong
2012
A new approach to permutation polynomials over finite fields. Zbl 1273.11169
Hou, Xiang-Dong
2012
$$GL(m,2)$$ acting on $$R(r,m)/R(r-1,m)$$. Zbl 0852.94020
Hou, Xiang-dong
1996
A new approach to permutation polynomials over finite fields. II. Zbl 1345.11082
Fernando, Neranga; Hou, Xiang-Dong; Lappano, Stephen D.
2013
Explicit evaluation of certain exponential sums of binary quadratic functions. Zbl 1210.11089
Hou, Xiang-Dong
2007
Bent functions, partial difference sets, and quasi-Frobenius local rings. Zbl 0960.05028
Hou, Xiang-Dong
2000
A generalization of an addition theorem of Kneser. Zbl 1034.11020
Hou, Xiang-Dong; Leung, Ka Hin; Xiang, Qing
2002
$$q$$-ary bent functions constructed from chain rings. Zbl 1012.05038
Hou, Xiang-Dong
1998
Necessary conditions for reversed Dickson polynomials to be permutational. Zbl 1209.11103
Hou, Xiang-Dong; Ly, Tue
2010
Determination of a type of permutation binomials over finite fields. Zbl 1394.11081
Hou, Xiang-Dong; Lappano, Stephen D.
2015
Classification of self dual quadratic bent functions. Zbl 1264.06021
Hou, Xiang-Dong
2012
Automorphism groups of Alexander quandles. Zbl 1252.20063
Hou, Xiang-Dong
2011
Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields. Zbl 1190.11063
Hou, Xiang-Dong; Mullen, Gary L.
2009
Solution to a problem of S. Payne. Zbl 1045.11085
Hou, Xiang-dong
2004
Elementary divisors of tensor products and $$p$$-ranks of binomial matrices. Zbl 1034.15010
Hou, Xiang-Dong
2003
On the groups of units of finite commutative chain rings. Zbl 1088.13010
Hou, Xiang-Dong; Leung, Ka Hin; Ma, Siu Lun
2003
Applications of the Hasse-Weil bound to permutation polynomials. Zbl 06964000
Hou, Xiang-dong
2018
Finite modules over $$\mathbb Z[t,t^{-1}]$$. Zbl 1283.16001
Hou, Xiang-Dong
2012
New partial difference sets in $$\mathbb{Z}_{p^2}^t$$ and a related problem about Galois rings. Zbl 1001.11052
Hou, Xiang-Dong; Leung, Ka Hin; Xiang, Qing
2001
On the norm and covering radius of the first-order Reed-Muller codes. Zbl 0899.94029
Hou, Xiangdong
1997
Determination of a class of permutation trinomials in characteristic three. Zbl 07160767
Hou, Xiang-dong; Tu, Ziran; Zeng, Xiangyong
2020
On a class of permutation trinomials in characteristic 2. Zbl 1446.11206
Hou, Xiang-Dong
2019
A class of permutation binomials over finite fields. Zbl 1295.11135
Hou, Xiangdong
2013
Connected quandles associated with pointed abelian groups. Zbl 1279.57009
Clark, W. Edwin; Elhamdadi, Mohamed; Hou, Xiang-Dong; Saito, Masahico; Yeatman, Timothy
2013
A construction of finite Frobenius rings and its application to partial difference sets. Zbl 1113.05019
Hou, Xiang-Dong; Nechaev, Alexandr A.
2007
A note on the proof of a theorem of Katz. Zbl 1144.11082
Hou, Xiang-Dong
2005
Enumeration of isomorphism classes of extensions of $$p$$-adic fields. Zbl 1055.11072
Hou, Xiang-Dong; Keating, Kevin
2004
Finite commutative chain rings. Zbl 0987.13018
Hou, Xiang-dong
2001
Covering radius of the Reed-Muller code $$R(1,7)$$ – a simpler proof. Zbl 0849.94027
Hou, Xiang-Dong
1996
Lectures on finite fields. Zbl 1414.11001
Hou, Xiang-Dong
2018
Proof of a conjecture on monomial graphs. Zbl 1351.05120
Hou, Xiang-dong; Lappano, Stephen D.; Lazebnik, Felix
2017
Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups. Zbl 1188.20032
Hou, Xiang-dong
2008
Some results on the covering radii of Reed-Muller codes. Zbl 0777.94015
Hou, Xiang-Dong
1993
On a vector space analogue of Kneser’s theorem. Zbl 1132.12003
Hou, Xiang-Dong
2007
Rings and constructions of partial difference sets. Zbl 1022.05010
Hou, Xiang-Dong
2003
New partial difference sets in $$p$$-groups. Zbl 1012.05037
Hou, Xiang-Dong
2002
On the covering radius of $$R(1,m)$$ in $$R(3,m)$$. Zbl 0857.94025
Hou, Xiang-dong
1996
Permutation polynomials over finite fields involving $$x+x^q+\cdots +x^{q^{a-1}}$$. Zbl 1285.11144
Fernando, Neranga; Hou, Xiang-Dong; Lappano, Stephen D.
2014
Proof of a conjecture on permutation polynomials over finite fields. Zbl 1285.11145
Hou, Xiang-Dong
2013
Galkin quandles, pointed abelian groups, and sequence A000712. Zbl 1267.05030
Clark, William E.; Hou, Xiang-Dong
2013
Sums of reciprocals of polynomials over finite fields. Zbl 1266.11129
Hicks, Kenneth; Hou, Xiang-Dong; Mullen, Gary L.
2012
On the asymptotic number of non-equivalent $$q$$-ary linear codes. Zbl 1089.94035
Hou, Xiang-Dong
2005
A note on the proof of Niho’s conjecture. Zbl 1073.94010
Hou, Xiang-dong
2004
On the coefficients of binary bent functions. Zbl 0941.94016
Hou, Xiangdong
2000
$$AGL(m,2)$$ acting on $$R(r,m)/R(s,m)$$. Zbl 0824.94021
Hou, Xiang-Dong
1995
Counting partial spread functions in eight variables. Zbl 1366.94777
Langevin, Philippe; Hou, Xiang-Dong
2011
On certain diagonal equations over finite fields. Zbl 1228.11090
Hou, Xiang-Dong; Sze, Christopher
2009
Asymptotic numbers of non-equivalent codes in three notions of equivalence. Zbl 1166.94009
Hou, Xiang-Dong
2009
On the asymptotic number of non-equivalent binary linear codes. Zbl 1176.94070
Hou, Xiang-dong
2007
New constructions of bent functions. Zbl 1219.94079
Hou, Xiang-Dong
2000
The covering radius of $$R(1,9)$$ in $$R(4,9)$$. Zbl 0953.94041
Hou, Xiang-Dong
1996
Binary linear quasi-perfect codes are normal. Zbl 0721.94020
Hou, Xiang-dong
1991
Some results on the norm of codes. Zbl 0703.94009
Hou, Xiang-Dong
1990
On the Tu-Zeng permutation trinomial of type $$( 1 / 4 , 3 / 4 )$$. Zbl 07302668
Hou, Xiang-Dong
2021
An application of the Hasse-Weil bound to rational functions over finite fields. Zbl 1456.11228
Hou, Xiang-Dong; Iezzi, Annamaria
2020
Numerical analysis for conservation laws using $$l_1$$ minimization. Zbl 1433.65176
Gelb, Anne; Hou, X.; Li, Q.
2019
On the roots of certain Dickson polynomials. Zbl 1411.11126
Blokhuis, Aart; Cao, Xiwang; Chou, Wun-Seng; Hou, Xiang-Dong
2018
Switchings of semifield multiplications. Zbl 1402.11150
Hou, Xiang-dong; Özbudak, Ferruh; Zhou, Yue
2016
On the asymptotic number of inequivalent binary self-dual codes. Zbl 1145.94015
Hou, Xiang-Dong
2007
Enumeration of certain affine invariant extended cyclic codes. Zbl 1077.94027
Hou, Xiang-Dong
2005
The Reed-Muller code $$R(r,m)$$ is not $$\mathbb Z_4$$-linear for $$3\leq r\leq m-2$$. Zbl 1105.94336
Hou, Xiang-Dong; Lahtonen, Jyrki T.; Koponen, Sami
1998
On the centralizer of the centralizer of a matrix. Zbl 0878.15010
Hou, Xiang-dong
1997
Classification of cosets of the Reed-Muller code $$R(m-3,m)$$. Zbl 0792.94007
Hou, Xiang-dong
1994
Optimal binary constant weight codes and affine linear groups over finite fields. Zbl 1412.94245
Hou, Xiang-Dong
2019
On a conjecture of Fernando, Hou and Lappano concerning permutation polynomials over finite fields. Zbl 1415.11178
Chou, Wun-Seng; Hou, Xiang-dong
2019
On the DLW conjectures. Zbl 1385.05041
Hou, Xiang-Dong
2018
Permutation polynomials of $$\mathbb F_{q^2}$$ of the form $$aX+X^{r(q-1)+1}$$. Zbl 1371.11151
Hou, Xiang-Dong
2016
From $$r$$-linearized polynomial equations to $$r^m$$-linearized polynomial equations. Zbl 1401.11154
Fernando, Neranga; Hou, Xiang-dong
2016
Classification of $$p$$-ary self dual quadratic bent functions, $$p$$ odd. Zbl 1300.94131
Hou, Xiang-Dong
2013
On the dimension of the space of magic squares over a field. Zbl 1262.05014
Hou, Xiang-Dong; Lecuona, Ana G.; Mullen, Gary L.; Sellers, James A.
2013
Rational power series, sequential codes and periodicity of sequences. Zbl 1158.13311
Hou, Xiang-Dong; López-Permouth, Sergio R.; Parra-Avila, Benigno R.
2009
When is betweenness preserved? Zbl 1167.26004
Hou, Xiang-Dong; McColm, Gregory
2008
On the dual of a Coulter-Matthews bent function. Zbl 1144.11081
Hou, Xiang-Dong
2008
On the number of inequivalent binary self-orthogonal codes. Zbl 1155.94403
Hou, Xiang-dong
2007
The eigenmatrix of the linear association scheme on $$R(2,m)$$. Zbl 0974.05081
Hou, Xiang-dong
2001
Two generalized constructions of relative difference sets. Zbl 0990.05016
Hou, Xiang-Dong; Sehgal, Surinder K.
2000
An extension of building sets and relative difference sets. Zbl 0939.05017
Hou, Xiang-dong; Sehgal, Surinder K.
2000
Further results on the covering radii of the Reed-Muller codes. Zbl 0770.94007
Hou, Xiang-Dong
1993
Hou, Xiang-Dong
1992
On the covering radius of subcodes of a code. Zbl 0742.94014
Hou, Xiangdong
1991
An improved sphere covering bound for the codes with $$n=3R+2$$. Zbl 0713.94022
Hou, Xiang-Dong
1990
On the Tu-Zeng permutation trinomial of type $$( 1 / 4 , 3 / 4 )$$. Zbl 07302668
Hou, Xiang-Dong
2021
Determination of a class of permutation trinomials in characteristic three. Zbl 07160767
Hou, Xiang-dong; Tu, Ziran; Zeng, Xiangyong
2020
An application of the Hasse-Weil bound to rational functions over finite fields. Zbl 1456.11228
Hou, Xiang-Dong; Iezzi, Annamaria
2020
On a class of permutation trinomials in characteristic 2. Zbl 1446.11206
Hou, Xiang-Dong
2019
Numerical analysis for conservation laws using $$l_1$$ minimization. Zbl 1433.65176
Gelb, Anne; Hou, X.; Li, Q.
2019
Optimal binary constant weight codes and affine linear groups over finite fields. Zbl 1412.94245
Hou, Xiang-Dong
2019
On a conjecture of Fernando, Hou and Lappano concerning permutation polynomials over finite fields. Zbl 1415.11178
Chou, Wun-Seng; Hou, Xiang-dong
2019
Applications of the Hasse-Weil bound to permutation polynomials. Zbl 06964000
Hou, Xiang-dong
2018
Lectures on finite fields. Zbl 1414.11001
Hou, Xiang-Dong
2018
On the roots of certain Dickson polynomials. Zbl 1411.11126
Blokhuis, Aart; Cao, Xiwang; Chou, Wun-Seng; Hou, Xiang-Dong
2018
On the DLW conjectures. Zbl 1385.05041
Hou, Xiang-Dong
2018
Proof of a conjecture on monomial graphs. Zbl 1351.05120
Hou, Xiang-dong; Lappano, Stephen D.; Lazebnik, Felix
2017
Switchings of semifield multiplications. Zbl 1402.11150
Hou, Xiang-dong; Özbudak, Ferruh; Zhou, Yue
2016
Permutation polynomials of $$\mathbb F_{q^2}$$ of the form $$aX+X^{r(q-1)+1}$$. Zbl 1371.11151
Hou, Xiang-Dong
2016
From $$r$$-linearized polynomial equations to $$r^m$$-linearized polynomial equations. Zbl 1401.11154
Fernando, Neranga; Hou, Xiang-dong
2016
Permutation polynomials over finite fields – a survey of recent advances. Zbl 1325.11128
Hou, Xiang-dong
2015
Determination of a type of permutation trinomials over finite fields. II. Zbl 1343.11093
Hou, Xiang-Dong
2015
A survey of permutation binomials and trinomials over finite fields. Zbl 1418.11153
Hou, Xiang-dong
2015
Determination of a type of permutation binomials over finite fields. Zbl 1394.11081
Hou, Xiang-Dong; Lappano, Stephen D.
2015
Determination of a type of permutation trinomials over finite fields. Zbl 1343.11092
Hou, Xiang-Dong
2014
A class of permutation trinomials over finite fields. Zbl 1294.11210
Hou, Xiang-Dong
2014
Permutation polynomials over finite fields involving $$x+x^q+\cdots +x^{q^{a-1}}$$. Zbl 1285.11144
Fernando, Neranga; Hou, Xiang-Dong; Lappano, Stephen D.
2014
A new approach to permutation polynomials over finite fields. II. Zbl 1345.11082
Fernando, Neranga; Hou, Xiang-Dong; Lappano, Stephen D.
2013
A class of permutation binomials over finite fields. Zbl 1295.11135
Hou, Xiangdong
2013
Connected quandles associated with pointed abelian groups. Zbl 1279.57009
Clark, W. Edwin; Elhamdadi, Mohamed; Hou, Xiang-Dong; Saito, Masahico; Yeatman, Timothy
2013
Proof of a conjecture on permutation polynomials over finite fields. Zbl 1285.11145
Hou, Xiang-Dong
2013
Galkin quandles, pointed abelian groups, and sequence A000712. Zbl 1267.05030
Clark, William E.; Hou, Xiang-Dong
2013
Classification of $$p$$-ary self dual quadratic bent functions, $$p$$ odd. Zbl 1300.94131
Hou, Xiang-Dong
2013
On the dimension of the space of magic squares over a field. Zbl 1262.05014
Hou, Xiang-Dong; Lecuona, Ana G.; Mullen, Gary L.; Sellers, James A.
2013
A piecewise construction of permutation polynomials over finite fields. Zbl 1254.05008
Fernando, Neranga; Hou, Xiang-Dong
2012
A new approach to permutation polynomials over finite fields. Zbl 1273.11169
Hou, Xiang-Dong
2012
Classification of self dual quadratic bent functions. Zbl 1264.06021
Hou, Xiang-Dong
2012
Finite modules over $$\mathbb Z[t,t^{-1}]$$. Zbl 1283.16001
Hou, Xiang-Dong
2012
Sums of reciprocals of polynomials over finite fields. Zbl 1266.11129
Hicks, Kenneth; Hou, Xiang-Dong; Mullen, Gary L.
2012
Two classes of permutation polynomials over finite fields. Zbl 1230.11146
Hou, Xiang-Dong
2011
Automorphism groups of Alexander quandles. Zbl 1252.20063
Hou, Xiang-Dong
2011
Counting partial spread functions in eight variables. Zbl 1366.94777
Langevin, Philippe; Hou, Xiang-Dong
2011
Necessary conditions for reversed Dickson polynomials to be permutational. Zbl 1209.11103
Hou, Xiang-Dong; Ly, Tue
2010
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
2009
Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields. Zbl 1190.11063
Hou, Xiang-Dong; Mullen, Gary L.
2009
On certain diagonal equations over finite fields. Zbl 1228.11090
Hou, Xiang-Dong; Sze, Christopher
2009
Asymptotic numbers of non-equivalent codes in three notions of equivalence. Zbl 1166.94009
Hou, Xiang-Dong
2009
Rational power series, sequential codes and periodicity of sequences. Zbl 1158.13311
Hou, Xiang-Dong; López-Permouth, Sergio R.; Parra-Avila, Benigno R.
2009
Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups. Zbl 1188.20032
Hou, Xiang-dong
2008
When is betweenness preserved? Zbl 1167.26004
Hou, Xiang-Dong; McColm, Gregory
2008
On the dual of a Coulter-Matthews bent function. Zbl 1144.11081
Hou, Xiang-Dong
2008
Explicit evaluation of certain exponential sums of binary quadratic functions. Zbl 1210.11089
Hou, Xiang-Dong
2007
A construction of finite Frobenius rings and its application to partial difference sets. Zbl 1113.05019
Hou, Xiang-Dong; Nechaev, Alexandr A.
2007
On a vector space analogue of Kneser’s theorem. Zbl 1132.12003
Hou, Xiang-Dong
2007
On the asymptotic number of non-equivalent binary linear codes. Zbl 1176.94070
Hou, Xiang-dong
2007
On the asymptotic number of inequivalent binary self-dual codes. Zbl 1145.94015
Hou, Xiang-Dong
2007
On the number of inequivalent binary self-orthogonal codes. Zbl 1155.94403
Hou, Xiang-dong
2007
Affinity of permutations of $$\mathbb F_{2}^{n}$$. Zbl 1089.94020
Hou, Xiang-dong
2006
A note on the proof of a theorem of Katz. Zbl 1144.11082
Hou, Xiang-Dong
2005
On the asymptotic number of non-equivalent $$q$$-ary linear codes. Zbl 1089.94035
Hou, Xiang-Dong
2005
Enumeration of certain affine invariant extended cyclic codes. Zbl 1077.94027
Hou, Xiang-Dong
2005
$$p$$-ary and $$q$$-ary versions of certain results about bent functions and resilient functions. Zbl 1076.11062
Hou, Xiang-Dong
2004
Solution to a problem of S. Payne. Zbl 1045.11085
Hou, Xiang-dong
2004
Enumeration of isomorphism classes of extensions of $$p$$-adic fields. Zbl 1055.11072
Hou, Xiang-Dong; Keating, Kevin
2004
A note on the proof of Niho’s conjecture. Zbl 1073.94010
Hou, Xiang-dong
2004
Elementary divisors of tensor products and $$p$$-ranks of binomial matrices. Zbl 1034.15010
Hou, Xiang-Dong
2003
On the groups of units of finite commutative chain rings. Zbl 1088.13010
Hou, Xiang-Dong; Leung, Ka Hin; Ma, Siu Lun
2003
Rings and constructions of partial difference sets. Zbl 1022.05010
Hou, Xiang-Dong
2003
A generalization of an addition theorem of Kneser. Zbl 1034.11020
Hou, Xiang-Dong; Leung, Ka Hin; Xiang, Qing
2002
New partial difference sets in $$p$$-groups. Zbl 1012.05037
Hou, Xiang-Dong
2002
New partial difference sets in $$\mathbb{Z}_{p^2}^t$$ and a related problem about Galois rings. Zbl 1001.11052
Hou, Xiang-Dong; Leung, Ka Hin; Xiang, Qing
2001
Finite commutative chain rings. Zbl 0987.13018
Hou, Xiang-dong
2001
The eigenmatrix of the linear association scheme on $$R(2,m)$$. Zbl 0974.05081
Hou, Xiang-dong
2001
Bent functions, partial difference sets, and quasi-Frobenius local rings. Zbl 0960.05028
Hou, Xiang-Dong
2000
On the coefficients of binary bent functions. Zbl 0941.94016
Hou, Xiangdong
2000
New constructions of bent functions. Zbl 1219.94079
Hou, Xiang-Dong
2000
Two generalized constructions of relative difference sets. Zbl 0990.05016
Hou, Xiang-Dong; Sehgal, Surinder K.
2000
An extension of building sets and relative difference sets. Zbl 0939.05017
Hou, Xiang-dong; Sehgal, Surinder K.
2000
Cubic bent functions. Zbl 0949.94003
Hou, Xiang-Dong
1998
$$q$$-ary bent functions constructed from chain rings. Zbl 1012.05038
Hou, Xiang-Dong
1998
The Reed-Muller code $$R(r,m)$$ is not $$\mathbb Z_4$$-linear for $$3\leq r\leq m-2$$. Zbl 1105.94336
Hou, Xiang-Dong; Lahtonen, Jyrki T.; Koponen, Sami
1998
Results on bent functions. Zbl 0896.05011
Hou, Xiang-dong; Langevin, Philippe
1997
On the norm and covering radius of the first-order Reed-Muller codes. Zbl 0899.94029
Hou, Xiangdong
1997
On the centralizer of the centralizer of a matrix. Zbl 0878.15010
Hou, Xiang-dong
1997
$$GL(m,2)$$ acting on $$R(r,m)/R(r-1,m)$$. Zbl 0852.94020
Hou, Xiang-dong
1996
Covering radius of the Reed-Muller code $$R(1,7)$$ – a simpler proof. Zbl 0849.94027
Hou, Xiang-Dong
1996
On the covering radius of $$R(1,m)$$ in $$R(3,m)$$. Zbl 0857.94025
Hou, Xiang-dong
1996
The covering radius of $$R(1,9)$$ in $$R(4,9)$$. Zbl 0953.94041
Hou, Xiang-Dong
1996
$$AGL(m,2)$$ acting on $$R(r,m)/R(s,m)$$. Zbl 0824.94021
Hou, Xiang-Dong
1995
Classification of cosets of the Reed-Muller code $$R(m-3,m)$$. Zbl 0792.94007
Hou, Xiang-dong
1994
Some results on the covering radii of Reed-Muller codes. Zbl 0777.94015
Hou, Xiang-Dong
1993
Further results on the covering radii of the Reed-Muller codes. Zbl 0770.94007
Hou, Xiang-Dong
1993
Hou, Xiang-Dong
1992
Binary linear quasi-perfect codes are normal. Zbl 0721.94020
Hou, Xiang-dong
1991
On the covering radius of subcodes of a code. Zbl 0742.94014
Hou, Xiangdong
1991
Some results on the norm of codes. Zbl 0703.94009
Hou, Xiang-Dong
1990
An improved sphere covering bound for the codes with $$n=3R+2$$. Zbl 0713.94022
Hou, Xiang-Dong
1990
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#### Cited by 475 Authors

 56 Hou, Xiang-Dong 19 Zeng, Xiangyong 18 Hu, Lei 14 Cao, Xiwang 12 Zha, Zhengbang 11 Wang, Qiang (Steven) 10 Qu, Longjiang 10 Tu, Ziran 9 Özbudak, Ferruh 8 Bartoli, Daniele 8 Fernando, Neranga 8 Helleseth, Tor 8 Li, Kangquan 8 Pasalic, Enes 7 Li, Nian 7 Xu, Guangkui 6 Carlet, Claude 6 Ding, Cunsheng 6 Gangopadhyay, Sugata 6 Pott, Alexander 6 Wu, Baofeng 5 Cao, Yonglin 5 Langevin, Philippe 5 Lappano, Stephen D. 5 Lecouvey, Cédric 5 Maitra, Subhamoy 5 Stanovský, David 5 Xu, Shanding 5 Yuan, Pingzhi 5 Zheng, Dabin 5 Zheng, Yanbin 4 Barry, Michael J. J. 4 Cao, Wei 4 Charpin, Pascale 4 Feng, Tao 4 Gupta, Rohit K. 4 Hong, Shaofang 4 Jedlička, Přemysl 4 Kronenthal, Brian G. 4 Li, Chao 4 Li, Chunlei 4 Polhill, John B. 4 Stănică, Pantelimon 4 Wang, Libo 4 Wang, Qichun 4 Wei, Yongzhuang 4 Xiang, Qing 4 Zhang, Fengrong 4 Zhang, Weiguo 3 Bachoc, Christine 3 Calderini, Marco 3 Cepak, Nastja 3 Chen, Xi 3 Clark, W. Edwin 3 Dempwolff, Ulrich 3 Eliahou, Shalom 3 Feng, Rongquan 3 Kavut, Selçuk 3 Kyureghyan, Gohar M. 3 Lazebnik, Felix 3 Leung, Ka Hin 3 Lin, Dongdai 3 Liu, Xianping 3 Liu, Zhuojun 3 Meidl, Wilfried 3 Meng, Qingshu 3 Mesnager, Sihem 3 Pei, Dingyi 3 Pilitowska, Agata 3 Qin, Xiao’er 3 Saito, Masahico 3 Sarkar, Sumanta 3 Schmidt, Kai-Uwe 3 Wang, Mingsheng 3 Yang, Min 3 Zamojska-Dzienio, Anna 3 Zémor, Gilles 3 Zhang, Huanguo 3 Zhang, Xiyong 3 Zhang, Zhizheng 3 Zhou, Yue 2 Bardakov, Valeriĭ Georgievich 2 Blondeau, Celine 2 Bonatto, Marco 2 Budaghyan, Lilya 2 Canteaut, Anne 2 Castro, Francis Noel 2 Çeşmelioğlu, Ayça 2 Charnes, Chris 2 Chen, Yu Qing 2 Chou, Wunseng 2 Climent, Joan-Josep 2 Coşgun, Ayhan 2 Cui, Jingsong 2 Davis, James Avery 2 De Salvo, Mario 2 Del Corso, Ilaria 2 Dvornicich, Roberto 2 Elhamdadi, Mohamed 2 Evans, Ronald J. ...and 375 more Authors
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#### Cited in 80 Serials

 112 Finite Fields and their Applications 49 Designs, Codes and Cryptography 29 Cryptography and Communications 23 Discrete Mathematics 19 Journal of Number Theory 15 Discrete Applied Mathematics 12 Applicable Algebra in Engineering, Communication and Computing 11 Journal of Algebra 8 Journal of Combinatorial Theory. Series A 6 Communications in Algebra 6 Journal of Algebraic Combinatorics 6 Journal of Algebra and its Applications 5 Linear Algebra and its Applications 4 Journal of Knot Theory and its Ramifications 4 Algebraic Combinatorics 4 Prikladnaya Diskretnaya Matematika 3 Acta Arithmetica 3 Information Sciences 3 Journal of Pure and Applied Algebra 3 Monatshefte für Mathematik 3 European Journal of Combinatorics 3 International Journal of Foundations of Computer Science 3 Journal of Group Theory 3 International Journal of Number Theory 3 Advances in Mathematics of Communications 3 Science China. Mathematics 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Linear and Multilinear Algebra 2 Proceedings of the American Mathematical Society 2 Combinatorica 2 Journal of Complexity 2 SIAM Journal on Discrete Mathematics 2 Turkish Journal of Mathematics 2 The Electronic Journal of Combinatorics 2 Journal of Combinatorial Designs 2 Integers 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Computing 1 Fundamenta Mathematicae 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Semigroup Forum 1 Theoretical Computer Science 1 Order 1 Graphs and Combinatorics 1 Discrete & Computational Geometry 1 Information and Computation 1 Journal of Scientific Computing 1 Science in China. Series A 1 International Journal of Computer Mathematics 1 Algebra Colloquium 1 Computational and Applied Mathematics 1 Algebras and Representation Theory 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Journal of Multiple-Valued Logic and Soft Computing 1 Journal of Discrete Algorithms 1 Science in China. Series F 1 Proyecciones 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Confluentes Mathematici 1 São Paulo Journal of Mathematical Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Numerical Algebra, Control and Optimization 1 S$$\vec{\text{e}}$$MA Journal 1 Annales Mathématiques du Québec 1 Algebra 1 Special Matrices
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#### Cited in 28 Fields

 248 Number theory (11-XX) 149 Information and communication theory, circuits (94-XX) 98 Combinatorics (05-XX) 49 Order, lattices, ordered algebraic structures (06-XX) 39 Group theory and generalizations (20-XX) 23 Field theory and polynomials (12-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Commutative algebra (13-XX) 16 Associative rings and algebras (16-XX) 15 Algebraic geometry (14-XX) 15 Manifolds and cell complexes (57-XX) 10 Geometry (51-XX) 6 Computer science (68-XX) 5 Nonassociative rings and algebras (17-XX) 4 General algebraic systems (08-XX) 4 Numerical analysis (65-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX)