K.T.ARASU

PROFESSOR

Department of Mathematics and Statistics,
Wright State University, Dayton, OH 45435

Room Number :  230

Phone: 937-775-3828,  Fax: 937-775-2081
E-mail: karasu@math.wright.edu

EDUCATION:

B.Sc. (Honors), Punjab University, Chandigarh, India,1973-1976
M.Sc. (Honors),Punjab University, Chandigarh, India
Ph.D., Ohio State University,1977-1983.


FIELD OF SPECIALIZATION:

Combinatorics and Discrete Mathematics


RESEARCH INTERESTS:

Discrete Mathematics, Cryptography & Data Security, Algebraic and number theoretic methods in Combinatorics


POSITIONS HELD:

Assistant Professor, Department of Mathematics and Statistics, Wright State University. 1983-1989
Associate Professor, Department of Mathematics and Statistics, Wright State University. 1989-1994
Professor,Department of Mathematics and Statistics, Wright State University, 1994-Present

FELLOWSHIP RECEIVED :

Alexander Von Humboldt Fellowship, University of Giessen, Germany , 1988-1989,1991-1992,Summer 1999 , Summer 2000

PAPERS PUBLISHED :

Divisible quotient lists and multipliers (with D.K. Ray-Chaudhuri), Congressus Numerantium 49 (1985), 321-338
(81,16,3) Abelian Difference Sets Do Not Exist, Journal of Combinatorial Theory, Series A, 43(2), (1986), 350-353
Multiplier Theorem for a difference list (with D.K.Ray-Chaudhuri), Ars Combinatoria, Vol.22 ( 1986 ), 119-137
A note on Wilbrink`s Theorem, Journal of Combinatorial theory, Series A, N0.1 (1987) ,1, 56-158
On Lander`s conjecture for the case = 3, J. Comb. Math. Computing, Vol. 1, (1987), 5-11
Number Theoretic Consequences on the Parameters of a Symmetric Design, Discrete Math, Vo. 65, No. 1 (1987), 1-4.
On Abelian Difference Sets, Arch. Math , Vol. 48 , No. 6 (1987) 491-494.
Validity of Lander`s Conjecture for 500, Journal of Comb. And Math and Comb. Computing, 2 (1987) , 73-76.
More Missing Entries in Lander`s Table could be filled. Arch. Math. 51 (1988), 188-192.
Another Variation of Wilbrink`s Theorem, Ars Combinatoria, Vol. .25 (1988), 107-109.
Certain Implications of the Multiplier Conjecture, (with D.L.Stewart). J. Comb.
Abelian Projective Planes of Square Order, European Journal of Combinatorics, 10 (1989), N0. 3, 207-209.
Cyclic Affine Planes of Even order, Discrete Math, 76 (1989), 177-181.
Singer groups of Biplanes of order 25, Arch. Math, 53 (1989), 622-624.
Affine Difference Sets and Homomorphic Images (with D.K.Ray-Chaudhuri ), Mitt. Math Sem .Giessen, 192 (1989), 72-78.
Relative Difference sets with Multiplier 2 (with A.Pott), Ars Combinatoria , 27(1989), 139-142.
Affine Difference Sets of Even order, (with D.Jungnickel), J. Comb Theory, (A) , 52 (2), (1989), 188-196.
Recent Results on Difference Sets, In:Coding Theory and Design Theory , ED. D.K.Ray-Chaudhuri, Springer , New York, (1990), 1-23.
Divisible Difference Sets with Multiplier minus one , (with D.Jungnickel, A.Pott), J. Algebra , 133(1),(1990), 35-62.
A note on the Intersection Numbers of Difference Sets, (with J. Davis, D.Jungnickel, A.Pott ), European J. Combinatorics, 11 (1990), 95-98.
Perfect Binary Analysis, In : Advances in Information and System Sciences, ed. G. Lasker (1990).
Some Nonexistence Results on Divisible Difference Sets, (with J. Davis, D.Jungnickel, A.Pott) , Combinatoria,11(1), (1991), 1-8.
Symmetric Divisible Designs k-Ù₁ = 1(with D.Jungnickel, A.Pott), Discrete Math , 97 (1991), 25-38.
Group Divisible Designs with 2^a points, (with A.Pott), Utilitas Math . ,39 (1991), 161-166.
Matrix Constructions of Group Divisible Designs, (with W.Haemers, D.Jungnickel, A.Pott), Linear Alg. And Appl. , 153 (1991), 123-133.
Mann test for divisible difference sets (with D.Jungnickel, A.Pott) , Graphs and Comb. 7, (1991), 209-217.
On quasiregular collineation groups of projective planes ( with A.Pott), Designs , Codes and Cryptography, 1 (1991), 83-92.
Some constructions of group divisible designs with singer groups, ( with A.Pott), Discrete math, 97, (1991), 39-45.
Simple Designs, (with Dr. D.K.Ray-Chaudhuri,N.M.Singhi), J.comb . info and system sciences , 18 (1991), 130-135.
Cyclic Subplanes of Cyclic Affine Planes,Sankhya , Vol.54 (1992),
On a construction of group divisible designs due to Sinha and Kageyama, (with A.Pott) , J.Comb Information and System Sciences, 17 (1992), 148-152.
On the existence of periodic complementary binary sequences, (with Q.Xiang),Designs, Codes and Cryptography, 2 (1992), 257-266.
Some new results on abelian difference sets ( with S.K.Sehgal) , Utilitas Math, 42 (1992), 225.233.
Cyclic Affine Planes and Paley difference sets (with A.Pott ) , Discrete Math 106/107 (1992), 19-23.
Falsity of a conjecture on dicylic designs ,Utilitas math 41, (1992),253-258.
Biplanes and Singular groups, (with V.C.Mavron) , In: Coding theory , Design theory, Group theory , Ed. D. Jungnickel, S.A.Vanstone, Wiley , NewYork.(1993), 111-119.
New construction of Menon Difference sets ,(with J.Davis, J.Jedwab, S.K.Sehgal), J. Comb. Th (A), 64(2), (1993),329-336.
Sums of Roots of Unity, ( with T. McDonough,S.K.Sehgal) In: Group theory, Ed. R.L. Solomon, S.K.Sehgal, World Scientific Singapore , (1993) , 6-20.
Strongly regular graphs withl-u= -1 .. (with D.Jungnickel, S.L.Ma, A.Pott) ,J. Comb Th (A), 64(2), (1993), 329-336.
Generalizations of constructions of McFarland and Spence , (with A.Pott) Australasian J. Comb (1994), 199-204.
Nonexistence of Certain Menon difference sets using perfect binary arrays. (with J.Davis, J.Jedwab), Combinatorica , 15(3), (1995), 311-317.
Some new difference sets (with S.K.Sehgal,), J.Comb, Th (A), 69(1), (1995), 170.172.
The solution of Waterloo problem, (with J.F.Dillon, D.Jungnickel, A.Pott), J.Comb, Th(A), 71, (1995), 316-331.
Multiplier theorems (with Q.Xiang), J.Comb,Designs, Vol3. No.4 (1995), 257-268.
Relative difference sets with n=2, (with D.Jungnickel, S.L.Ma, A.Pott), Discrete Math , 147, (1995), 1-17.
Difference sets in abelian groups pf p-rank two,(with S.K.Sehgal), Designs , Codes and Cryptography, ,5 (1995) ,5-12.
New constructions of nested row-column designs (with M.L.Aggarwal), Australasian J.Comb .12 (1995) , 295-299.
New Constructions group divisible designs ,(with S.Harris) , J.Stat, Planning and Inference ,52 (1996), 241-253.
Impossibility of certain cyclotomic equations with applications to difference sets (with A.Pott), Designs , Codes and Cryptography, 8 (1996), 23-27.
Exponent bounds for a family of abelian difference sets (with J.Davis, J.Jedwab, S.L.Ma, R.L.McFarland), In: Groups, Difference sets and Monster, (Eds. K.T.Arasu, J.F.Dillon, K.Harada, S.K.Sehgal, R.L.Solomon), degruyter verlag, Berlin-New York, (1996), 129-143.
Circular weighing designs (with J.Seberry),J.Comb Designs, Vol. 4, No.6, (1996), 439-447.
On a Class of almost perfect sequences (with S.L.Ma, N.J.Voss), J.Algebra, 192, (1997), 641-650.
Quadratic Starters in GF (q) and a new family of nested row-column designs, (with A.B.Evans, R.Balasubramanian) J.Comb Math and Computing, 29 (1999), 1, 139-144.
On circulant weighing matrices, (with J.Seberry), Australasian J.Comb, 17(1998), 21-37.
Some new weighing matrices of weight 25,(with D.Torban), J.Comb Designs, 7(1997), 11-15.
Nonexistence of some difference sets (with S.K.Sehgal, J.Comb and Math Comb Computing (in Press).
A reduction theorem for circulant weighing matrices, Australasian J.Comb, 18(1998), 111-114.
Theory of Difference sets (with A.Pott) In:Encyclopedia for Electrical and Electronics Engineering, Ed.J.Webster, Wiley, New York, Vol.21, (1999), 682-694.
On abelian difference sets (with S.K.Sehgal), In: Special Volume on Algebra Published by the Indian Academy of Sciences, Ed. I.B.S.Passi (1999), 1-27.
Perfect ternary arrays (with J.F.Dillon) In:NATO volume on difference sets, sequences and their correlation properties, Ed. (A.Pott), Kluwer, 1999,1-15.
Answering a question of Pott on almost perfect sequences, (with N.J.Voss), Designs, Codes and Cryptography, 18,7-10, 1999.
New Nonexistence results on difference sets,divisible difference sets and partial difference sets, (with S.L.Ma) J.Stat Planning and Interference (in press).
Relative difference sets with classical parameters (with Dillon, Leung and Ma), J. Comb. Theory (A), 94, (2001), 118-126.
Some new difference sets in Z-4^3XZ_5 (with Y.Q.Chen), Designs, Codes and Cryptography, 23, (2001), 317-323.
Abelian difference sets without self-conjugacy, Designs, Codes and Cryptography, 15 (1998), 223-230.
Self dual codes over F-p and conference matrices (with T.A.Gulliver), IEEE Trans Inf. Th, 47 (5), (2001), 2051-2055.
Two-dimensional perfect quarternary arrays, (with W.DeLauney),IEEE Trans. Inf. Th., 47 (4), (2001), 1482-1493.
Hadamard and conference matrices, (with Chen and Opt), J.Algebraic combinatorics.(in press).
Almost difference sets and their sequences with optimal autocorrelation (with Ding, Helleseth, Kumar, and Martinsen), IEEE Trans Info. Th, (in press).
New results on circulant weighing matrices, (with S.L.Ma), J.Algebraic Combinatorics, (in press).

Papers Submitted

Invited Talks at Confs, Professionals meetings,etc