Recent progress in algebraic design theory
暂无分享,去创建一个
[1] K. T. Arasu,et al. Some New Difference Sets , 1995, J. Comb. Theory, Ser. A.
[2] Andreas Stein,et al. High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams , 2004 .
[3] M. Muzychuk,et al. Difference Sets with n = 2pm , 1998 .
[4] Qing Xiang,et al. Cyclic Relative Difference Sets and their p-Ranks , 2003, Des. Codes Cryptogr..
[5] Richard M. Wilson,et al. A course in combinatorics , 1992 .
[6] Marshall Hall,et al. A survey of difference sets , 1956 .
[7] Alexander Pott,et al. Finite Geometry and Character Theory , 1995 .
[8] Qing Xiang. On Balanced Binary Sequences with Two-Level Autocorrelation Functions , 1998, IEEE Trans. Inf. Theory.
[9] Siu Lun Ma. A Family of Difference Sets Having -1 as an Invariant , 1989, Eur. J. Comb..
[10] H. Kharaghani. On the Siamese Twin Designs , 2001 .
[11] H. Ryser. Combinatorial Mathematics: THE PRINCIPLE OF INCLUSION AND EXCLUSION , 1963 .
[12] Siu Lun Ma,et al. Difference sets in dihedral groups , 1991, Des. Codes Cryptogr..
[13] Vladimir D. Tonchev,et al. Spreads in Strongly Regular Graphs , 1996, Des. Codes Cryptogr..
[14] Tanja Vu i i. New symmetric designs and nonabelian difference sets with parameters(100, 45, 20) , 2000 .
[15] L. D. Baumert,et al. On the existence of cyclic difference sets with small parameters , 2003, math/0304502.
[16] David B. Chandler,et al. The invariant factors of the incidence matrices of points and subspaces in $\operatorname{PG}(n,q)$ and $\operatorname{AG}(n,q)$ , 2006 .
[17] ROBERT E. KIBLER,et al. A Summary of Noncyclic Difference Sets, k<20 , 1978, J. Comb. Theory, Ser. A.
[18] T. Helleseth,et al. A New Family of Ternary Sequences with Ideal Two-level Autocorrelation Function , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).
[19] Bernhard Schmidt,et al. The Field Descent Method , 2005, Des. Codes Cryptogr..
[20] Hadi Kharaghani,et al. A Recursive Construction for New Symmetric Designs , 2005, Des. Codes Cryptogr..
[21] Henk D. L. Hollmann,et al. Maximal Arcs in Projective Three-Spaces and Double-Error-Correcting Cyclic Codes , 2001, J. Comb. Theory, Ser. A.
[22] Jr. Hall,et al. Cyclic projective planes , 1947 .
[23] Robert L. McFarland,et al. Translates and multipliers of abelian difference sets , 1978 .
[24] James A. Davis,et al. Difference sets in abelian 2-groups , 1991, J. Comb. Theory, Ser. A.
[25] Peter Sin,et al. THE PERMUTATION MODULES FOR GL( n +1, [ ] q ) ACTING ON ℙ n ([ ] q ) AND [ ] n +1 q , 2000 .
[26] Richard M. Wilson,et al. Constructions of Hadamard Difference Sets , 1997, J. Comb. Theory, Ser. A.
[27] David B. Chandler,et al. The invariant factors of the incidence matrices of points and subspaces in PG(n,q) and AG(n,q) , 2003, math/0312506.
[29] Siu Lun Ma. McFarland's conjecture on abelian difference sets with multiplier −1 , 1991, Des. Codes Cryptogr..
[30] Qing Xiang,et al. A Result on Ma's Conjecture , 1996, J. Comb. Theory, Ser. A.
[31] Zhenlei Jia,et al. New Necessary Conditions for the Existence of Difference Sets without Self-Conjugacy , 2002, J. Comb. Theory, Ser. A.
[32] Jack E. Graver,et al. The Module Structure of Integral Designs , 1973, J. Comb. Theory, Ser. A.
[33] Robert L. McFarland,et al. A Family of Difference Sets in Non-cyclic Groups , 1973, J. Comb. Theory A.
[34] P. Dembowski,et al. Planes of ordern with collineation groups of ordern2 , 1968 .
[35] D. Jungnickel,et al. Another case of the prime power conjecture for finite projective planes. , 2002 .
[36] Richard M. Wilson,et al. Signed Hypergraph Designs and Diagonal Forms for Some Incidence Matrices , 1999, Des. Codes Cryptogr..
[37] Qing Xiang,et al. An exponent bound on skew Hadamard abelian difference sets , 1994, Des. Codes Cryptogr..
[38] Antonio Maschietti. Difference Sets and Hyperovals , 1998, Des. Codes Cryptogr..
[39] Robert S. Coulter,et al. Planar Functions and Planes of Lenz-Barlotti Class II , 1997, Des. Codes Cryptogr..
[40] Gary L. Mullen,et al. Finite Fields and Applications , 2007, Student mathematical library.
[41] Hadi Kharaghani. On the Twin Designs with the Ionin-type Parameters , 2000, Electron. J. Comb..
[42] David B. Chandler. THE SMITH NORMAL FORMS OF DESIGNS WITH CLASSICAL PARAMETERS , 2004 .
[43] S. Lang. Number Theory III , 1991 .
[44] James A. Davis,et al. A Unifying Construction for Difference Sets , 1997, J. Comb. Theory, Ser. A.
[45] Tor Helleseth,et al. A New Family of Ternary Sequences with Ideal Two-level Autocorrelation Function , 2001, Des. Codes Cryptogr..
[46] Ken W. Smith,et al. Non-Abelian Hadamard Difference Sets , 1995, J. Comb. Theory, Ser. A.
[47] D. Gottlieb. A certain class of incidence matrices , 1966 .
[48] W. J. Thron,et al. Encyclopedia of Mathematics and its Applications. , 1982 .
[49] Anka Golemac,et al. New difference sets in nonabelian groups of order 100 , 2001 .
[50] D. Jungnickel,et al. Balanced generalized weighing matrices and their applications , 2006 .
[51] David G. Glynn,et al. On the classification of geometric codes by polynomial functions , 1995, Des. Codes Cryptogr..
[52] Paul Camion,et al. Antisymmetric difference sets , 1972 .
[53] Arieh Yakir,et al. Rank of inclusion matrices and modular representation theory , 1990 .
[54] Yury J. Ionin. New Symmetric Designs from Regular Hadamard Matrices , 1997, Electron. J. Comb..
[55] Jong-Seon No,et al. Binary Pseudorandom Sequences of Period with Ideal Autocorrelation Generated by the Polynomial , 1998 .
[56] Vladimir D. Tonchev,et al. Bush‐type Hadamard matrices and symmetric designs , 2001 .
[57] Siu Lun Ma,et al. Nonexistence of Abelian difference sets: Lander's conjecture for prime power orders , 2003 .
[58] Rudolf Lide,et al. Finite fields , 1983 .
[59] Chris D. Godsil,et al. Problems in Algebraic Combinatorics , 1995, Electron. J. Comb..
[60] Bernhard Schmidt,et al. Asymptotic Nonexistence of Difference Sets in Dihedral Groups , 2002, J. Comb. Theory, Ser. A.
[61] Jennifer Wallis,et al. On Hadamard matrices , 1975 .
[62] A. S. Hedayat,et al. On Theory and Applications of BIB Designs with Repeated Blocks. , 1977 .
[63] Jong-Seon No,et al. On the p-Ranks and Characteristic Polynomials of Cyclic Difference Sets , 2004, Proceedings IEEE International Symposium on Information Theory,.
[64] Qing Xiang,et al. Symmetric Bush-type Hadamard matrices of order $4m^4$ exist for all odd $m$ , 2005 .
[65] Complete settling of the multiplier conjecture for the case of n =3pr , 2002 .
[66] J. H. van Lint,et al. A Course in Combinatorics: Trees , 2001 .
[67] Navin M. Singhi,et al. Tags on Subsets , 2003, Electron. Notes Discret. Math..
[68] Dieter Jungnickel,et al. Geometry, Combinatorial Designs and Related Structures: Difference sets: an update , 1997 .
[69] Robert A. Liebler. Constructive Representation Theoretic Methods and Non-Abelian Difference Sets , 1999 .
[70] Wan Zhaoze. Difference Sets in Groups of Order 4p~4 , 2006 .
[71] R. Tennant. Algebra , 1941, Nature.
[72] Richard M. Wilson,et al. A Diagonal Form for the Incidence Matrices of t-Subsets vs.k-Subsets , 1990, Eur. J. Comb..
[73] A. Blokhuis,et al. Proof of the prime power conjecture for projective planes of order $n$ with Abelian collineation groups of order $n^2$ , 2001 .
[74] Zvonimir Janko. The Existence of a Bush-type Hadamard Matrix of Order 36 and Two New Infinite Classes of Symmetric Designs , 2001, J. Comb. Theory, Ser. A.
[75] Hans Dobbertin,et al. New cyclic difference sets with Singer parameters , 2004, Finite Fields Their Appl..
[76] Robert G. Kraemer,et al. Proof of a Conjecture on Hadamard 2-Groups , 1993, J. Comb. Theory, Ser. A.
[77] Yu Qing Chen. On the Existence of Abelian Hadamard Difference Sets and a New Family of Difference Sets , 1997 .
[78] N. Hamada,et al. On the $p$-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes , 1973 .
[79] E. Lander. Symmetric Designs: An Algebraic Approach , 1983 .
[80] Peter Sin,et al. The Elementary Divisors of the Incidence Matrices of Points and Linear Subspaces in Pn(Fp) , 2000 .
[81] Qing Xiang. Recent Results on Difference Sets with Classical Parameters , 1999 .
[82] S. Chowla,et al. On Difference Sets. , 1949, Proceedings of the National Academy of Sciences of the United States of America.
[83] D. Wan,et al. A CHEVALLEY-WARNING APPROACH TO p-ADIC ESTIMATES OF CHARACTER SUMS , 1995 .
[84] Bhaskar Bagchi,et al. Projective Geometric Codes , 2002, J. Comb. Theory, Ser. A.
[85] Joel E. Iiams. On Difference Sets in Groups of Order 4p2 , 1995, J. Comb. Theory, Ser. A.
[86] Shuo-Yen Robert Li,et al. On the Structure of t-Designs , 1980, SIAM J. Algebraic Discret. Methods.
[87] D. Garling,et al. Algebra, Volume 1 , 1969, Mathematical Gazette.
[88] Richard J. Turyn,et al. Hadamard Matrices, Baumert-Hall Units, Four-Symbol Sequences, Pulse Compression, and Surface Wave Encodings , 1974, J. Comb. Theory A.
[89] Mikhail H. Klin,et al. A Root Graph that is Locally the Line Graph of the Peterson Graph , 2003, Discret. Math..
[90] Peter Sin,et al. The Permutation Modules for GL(n+1, Fq) Acting on Pn(Fq) and Fqn+1 , 2000 .
[91] Henk D. L. Hollmann,et al. Gauss Sums, Jacobi Sums, and p-Ranks of Cyclic Difference Sets , 1999, J. Comb. Theory, Ser. A.
[92] K. T. Arasu,et al. A New Family of Cyclic Difference Sets with Singer Parameters in Characteristic Three , 2003, Des. Codes Cryptogr..
[93] Solomon W. Golomb,et al. Binary Pseudorandom Sequences of Period 2n-1 with Ideal Autocorrelation , 1998, IEEE Trans. Inf. Theory.
[94] F. Luca,et al. On a conjecture of Ma , 2005 .
[95] William M. Kantor,et al. Note on GMW Designs , 2001, Eur. J. Comb..
[96] R. Turyn. Character sums and difference sets. , 1965 .
[97] Vladimir D. Tonchev,et al. The Existence of a Bush-Type Hadamard Matrix of Order 324 and Two New Infinite Classes of Symmetric Designs , 2001, Des. Codes Cryptogr..
[98] Hanfried Lenz,et al. Design theory , 1985 .
[99] Behruz Tayfeh-Rezaie,et al. A Hadamard matrix of order 428 , 2005 .
[100] K. A. Bush. Unbalanced Hadamard Matrices and Finite Projective Planes of Even Order , 1971, J. Comb. Theory, Ser. A.
[101] N. S. Barnett,et al. Private communication , 1969 .
[102] N Hamada,et al. On the BIB Design Having the Minimum p-Rank , 1975, J. Comb. Theory A.
[103] F. Jessie MacWilliams,et al. On the p-Rank of the Design Matrix of a Difference Set , 1968, Inf. Control..
[104] J. W. P. Hlrschfeld. SYMMETRIC DESIGNS An Algebraic Approach (London Mathematical Society Lecture Note Series, 74) , 1984 .
[105] Richard J. Turyn,et al. A Special Class of Williamson Matrices and Difference Sets , 1984, J. Comb. Theory, Ser. A.
[106] Philippe Delsarte,et al. On cyclic codes that are invariant under the general linear group , 1970, IEEE Trans. Inf. Theory.
[107] Qing Xiang,et al. The invariant factors of some cyclic difference sets , 2003, J. Comb. Theory, Ser. A.
[108] Jong-Seon No,et al. New Cyclic Difference Sets with Singer Parameters Constructed from d-Homogeneous Functions , 2004, Des. Codes Cryptogr..
[109] Mikhail H. Klin,et al. Switching of Edges in Strongly Regular Graphs I: A Family of Partial Difference Sets on 100 Vertices , 2003, Electron. J. Comb..
[110] E. C Johnsen,et al. Skew-hadamard abelian group difference sets , 1966 .
[111] K. T. Arasu,et al. On abelian (22m+1(2m-1+1), 2m(2m+1), 2m)-difference sets , 2006, J. Comb. Theory, Ser. A.
[112] John F. Dillon,et al. Multiplicative Difference Sets via Additive Characters , 1999, Des. Codes Cryptogr..