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Chou, Wun-Seng

photo Wun-Seng Chou received his B.S. and M.S. from the Department of Mathematics, Fu-Jen Catholic University. After his military service, he taught in college level for 6 years. He went to the United States in 1984. He studied in the Southern Illinois University-Carbondale for 2 years and then transferred to the Pennsylvania State University. He received his Ph.D. in mathematics from the PSU in 1990. Since then, he joined the Institute of Mathematica, Academia Sinica as an Research Fellow. His major research interest is the finite field theory and its applications.
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Phone:+886 2 2368-5999 ext. 709
Fax: +886 2 2368-9771

Publications :

1.  (with Tian-Xiao He and Peter J.-S. Shiue) On the Primality of the Generalized Fuss-Catalan Numbers, J. Integer Sequences , 21(2018), 18.2.1-
2.  (with A. Blokhuis, X. Cao and X.-D. Hou) On the Roots of Certain Dickson Polynomials, J. Number Theory , 186(2018-07), 229-246
3.  (with X. Cao and X. Zhang) More constructions of near optimal codebooks associated with binary sequences, Advances in Mathematics of Communications , 11(2017-02), no. 1, 187-202
4.  (with X. Cao, J. Gu) On the number of solutions of certain diagonal equations over finite fields, FINITE FIELDS AND THEIR APPLICATIONS , 42(2016), 225-252
5.  (with Cao X.) More Constructions of Approximately Mutually Unbiased Bases, Bulletin of the Australian Mathematical Society , 93(2016), 211-222
6.  (with Hsu L. C.) An Extension of Fleck-type Mmath symbols by mimetexbius Function and Inversion, International Journal Of Number Theory , 11(2015), no. 6, 1807-1819
7.  (with He T.-X., Shiue P. J.-S.) Enumeration problems for a linear congruence equation, Taiwanese Journal of Mathematics , 18(2014-02), no. 1, 265-275
8.  (with He T.-X.) On the construction of number sequence identities, J. Concrete and Appl. Math. , 11(2013), 277-291
9.  (with J. Gomez-Calderon, G. L. Mullen, D. Panario, D. Thomson) Subfield value sets of polynomials over finite fields, Functiones et Approximatio Commentarii Mathematici , 48(2013), no. 1, 147-165
10.  (with G.L. Mullen! B. Wassermann) On the number of solutions of equations of Dickson polynomials over finite fields, NSC94-2115-M-001-019, Taiwanese Journal of Mathematics , 12(2008), 917-931
11.  (with B.-S. Du ! P.J.-S.Shiue) A note on circulant transition matrices in Markov chains, NSC94-2115-M-001-019, Linear Algebra and Its Applications , 429(2008), 1699-1704
12.  (with L.C.Hsu!P.J.-S.Shiue) On a class of combinatorial sums involving generalized factorials, doi:10.1155/2007/12604, Int. J. Math. & Math. Sciences (2007), 0-0
13.  (with P. J.-S. Shiue) Periodic aspects of sequences generated by two special mappings, Taiwanese J. Math. , 10(2006), no. 4, 829-836
14.  (with L. C. Hsu ! P. J.-S. Shiue) Application of Faa di Bruno's formula in characterization of inverse relations, J. Comput. Applied Math , 190(2006), 151-169
15.  Binomial permutations of finite fields, Bull. Austral. Math. Soc. , 38(1988), 325-327
16.  (with J. Gomez-Calderon and G. L. Mullen) Value sets of Dickson polynomials over finite fields, J. Number Theory , 30(1988), 334-344
17.  (with G. L. Mullen, P. J.-S. Shiue, and Q. Sun) Pairs of primitive elements modulo math symbols by mimetex, J. Sichuan Univ. Natural Science , 26(1989), 189-195
18.  Permutation Polynomials on Finite Fields and Combinatorial Applications, Ph.D. thesis, Penn. State University (1990)
19.  (with H. Bowman and P. J.-S. Shiue) A matrix method for solving the postage stamps problem, Missouri J. Math. Sciences , 2(1991), 70-76
20.  Formulas for counting chains in multisets, Utilitas Math. , 40(1991), 3-12
21.  (with G. L. Mullen) Generating linear spans over finite fields, Acta Arith. , 61(1992), 183-191
22.  Set-complete mappings on finite fields, Finite Fields, Coding Theory, and Advances in Communications and Computing (Las Vegas, 1991), Lecture Notes in Pure and Appl. Math., vol. 141, pp. 33--41, Dekker, New York, 1993., (1993)
23.  (with P. J.-S. Shiue) A note on circular permutations, J. Comb. Math. Combl. Comp. , 16(1994), 165-170
24.  (with Y. Manoussakis, O. Megalakaki, M. Spylatos, and Zs. Tuza) Paths through fixed vertices in edge-colored graphs, Math. Inf. Sci. Hum. (1994), 49-58
25.  The period lengths of inversive pseudorandom vector generations, Finite Fields & Their Appls. , 1(1995), 126-132
26.  On inversive maximal period polynomials over finite fields, Applicable Algebra in Engrg. Comm. Comp. , 6(1995), 245-250
27.  The period lengths of inversive congruential recursions, Acta Arith. , 73(1995), 325-341
28.  (with H. Niederreiter) On the lattice test for inversive congruential pseudorandom numbers, Monte Carlo & Quasi-Monte Carlo Methods in Scientific Computing (Las Vegas, 1994), Lecture Notes in Statistics, vol.~106, pp.~186--197, Springer-Verlag, New York, 1995, (1995)
29.  The factorization of Dickson polynomials over finite fields, Finite Fields & Their Appls. , 3(1997), 84-96
30.  (with J.-M. Ku and P. J.-S. Shiue) On crossings of hyperplanes on the n-D torus, J. Algebra , 192(1997), 43-54
31.  (with S. D. Cohen) Polynomial distribution and sequences of irreducible polynomoials over finite finite fields, J. Number Theory , 75(1999), 145-159
32.  (with P. J.-S. Shiue) crossings on the 2-D torus, ARS Combinatorica , 54(2000), 29-31
33.  (with S. D. Cohen) Primitive elements with zero traces. NSC88-2115-M-001-002, Finite Field & Their Appls. , 7(2001), 125-141
34.  (with H. Niederreiter) Monomials and binomials over finite fields as math symbols by mimetex-orthomorphisms. NSC88-2115-M-001-002, Publ. Math. Debcreen , 61(2002), 511-521
35.  (with T. C. Brown and P. J.-S. Shiue) On the partition function of a finite set, Australasian J. Comb. , 27(2003), 193-204
36.  (with I. E. Shparlinski) On the cycle structure of repeated exponentiation modulo a prime. NSC92-2115-M-001-026, J. Number Theory , 107(2004), 345-356
37.  (with Y. Chang and P. J.-S. Shiue) On the number of primitive polynomials over finite fields, Finite Fields & Their Appls. , 11(2005), 156-163