Designs and their codes
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[1] Hiroshi Kimura,et al. Construction of hadamard matrices of order 28 , 1986, Graphs Comb..
[2] William M. Kantor,et al. Homogeneous Designs and Geometric Lattices , 1985, J. Comb. Theory, Ser. A.
[3] Howard E. Sachar,et al. The Fp span of the incidence matrix of a finite projective plane , 1979 .
[4] W. Burau,et al. Über die zur Kummerkonfiguration analogen Schemata von 16 Punkten und 16 Blöcken und ihre Gruppen , 1964 .
[5] ROBERT E. KIBLER,et al. A Summary of Noncyclic Difference Sets, k<20 , 1978, J. Comb. Theory, Ser. A.
[6] F. Buekenhout. Existence of unitals in finite translation planes of order q2 with a kernel of order q , 1976 .
[7] William Patton,et al. Lectures on projective planes : lectures given during 1968-1969 at the University of Illinois at Chicago Circle , 1969 .
[8] Clement W. H. Lam,et al. The nonexistence of ovals in a projective plane of order 10 , 1983, Discret. Math..
[9] N. J. A. Sloane,et al. On ternary self-dual codes of length 24 , 1981, IEEE Trans. Inf. Theory.
[10] D. R. Hughes,et al. On t-Designs and Groups , 1965 .
[11] C. W. Norman,et al. Nonisomorphic Hadamard Designs , 1976, J. Comb. Theory, Ser. A.
[12] Clement Lam,et al. A computer search for finite projective planes of order 9 , 1991, Discret. Math..
[13] J. H. Lint. A survey of perfect codes , 1975 .
[14] Marshall Hall,et al. A survey of difference sets , 1956 .
[15] B. Segre. Ovals In a Finite Projective Plane , 1955, Canadian Journal of Mathematics.
[16] Luc Teirlinck,et al. On Projective and Affine Hyperplanes , 1980, J. Comb. Theory, Ser. A.
[17] Benedict H. Gross,et al. Intersection triangles and block intersection numbers of Steiner systems , 1974 .
[18] R. H. F. Denniston,et al. Some New 5-Designs , 1976 .
[19] Jacobus H. van Lint,et al. Ovals in Projective Designs , 1979, J. Comb. Theory, Ser. A.
[20] Marshall HallJr.,et al. Ovals in the Desarguesian plane of order 16 , 1975 .
[21] Vera Pless,et al. Symmetry Codes over GF(3) and New Five-Designs , 1972, J. Comb. Theory A.
[22] Vladimir D. Tonchev,et al. Unitals in the Hölz design on 28 points , 1991 .
[23] Marshall Hall,et al. Cyclic Incidence Matrices , 1951, Canadian Journal of Mathematics.
[24] J. Sylvester. LX. Thoughts on inverse orthogonal matrices, simultaneous signsuccessions, and tessellated pavements in two or more colours, with applications to Newton's rule, ornamental tile-work, and the theory of numbers , 1867 .
[25] Gert Hillerbrandt. The p -rank of (0,1)-matrices , 1992 .
[26] H. F. Mattson,et al. RESEARCH TO DEVELOP THE ALGEBRAIC THEORY OF CODES. , 1968 .
[27] Michael E. O'Nak. Automorphisms of unitary block designs , 1972 .
[28] P. B. Kleidman,et al. Linear spaces with flag-transitive automophism groups , 1990 .
[29] J. Seidel,et al. Spherical codes and designs , 1977 .
[30] K.J.C. Smith,et al. On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry , 1969 .
[31] John H. Conway,et al. On the Enumeration of Self-Dual Codes , 1980, J. Comb. Theory, Ser. A.
[32] Noboru Hamada,et al. The Geometric Structure and the p-Rank of an Affine Triple System Derived from a Nonassociative Moufang Loop with the Maximum Associative Center , 1981, J. Comb. Theory, Ser. A.
[33] R. C. Bose,et al. The construction of translation planes from projective spaces , 1964 .
[34] Philippe Delsarte,et al. A geometric approach to a class of cyclic codes , 1969 .
[35] H. Hanani. The Existence and Construction of Balanced Incomplete Block Designs , 1961 .
[36] Arthur Reifart. The classification of the translation planes of order 16, II , 1983 .
[37] J. D. Key,et al. Translation planes and derivation sets , 1990 .
[38] Haim Hanani,et al. A Class of Three-Designs , 1979, J. Comb. Theory, Ser. A.
[39] Jennifer D. Key. Hermitian varieties as codewords , 1991, Des. Codes Cryptogr..
[40] Ascher Wagner,et al. On an infinite class of Steiner systems constructed from affine spaces , 1986 .
[41] James L. Massey. Review of 'Theory and Practice of Error Control Codes' (Blahut, R.E.; 1983) , 1985, IEEE Transactions on Information Theory.
[42] C. Lam,et al. The search for a finite projective plane of order 10 , 1991 .
[43] H. F. Mattson,et al. Perfect codes and the Mathieu groups , 1966 .
[44] Donald W. Newhart. On minimum weight codewords in QR codes , 1988, J. Comb. Theory, Ser. A.
[45] Harold N. Ward. Quadratic residue codes in their prime , 1992 .
[46] Philippe Delsarte. Majority Logic Decodable Codes Derived from Finite Inversive Planes , 1971, Inf. Control..
[47] H. Peyton Young,et al. Affine triple systems and matroid designs , 1973 .
[48] Jennifer D. Key,et al. Affine and projective planes , 1990, Discret. Math..
[49] O. S. Rothaus,et al. On "Bent" Functions , 1976, J. Comb. Theory, Ser. A.
[50] Olaf Manz,et al. Classical codes as ideals in group algebras , 1992, Des. Codes Cryptogr..
[51] R. Graham,et al. On the number of information symbols in difference-set cyclic codes , 1966 .
[52] L. Thiel,et al. The Non-Existence of Finite Projective Planes of Order 10 , 1989, Canadian Journal of Mathematics.
[53] Marshall Hall. Semi-automorphisms of Hadamard matrices , 1975 .
[54] Edward F. Assmus. The binary code arising from a 2-design with a nice collection of ovals , 1983, IEEE Trans. Inf. Theory.
[55] Richard E. Blahut. Transform Techniques for Error Control Codes , 1979, IBM J. Res. Dev..
[56] Haim Hanani,et al. On Quadruple Systems , 1960, Canadian Journal of Mathematics.
[57] E. Witt. über Steinersche Systeme , 1937 .
[58] Shu Lin,et al. Polynomial codes , 1968, IEEE Trans. Inf. Theory.
[59] Helmut Koch. On self-dual, doubly even codes of length 32 , 1989, J. Comb. Theory, Ser. A.
[60] Ernest E. Shult,et al. Steiner Triple Systems with Doubly Transitive Automorphism Groups: A Corollary to the Classification Theorem for Finite Simple Groups , 1984, J. Comb. Theory, Ser. A.
[61] P. Charpin. Une généralisation de la construction de Berman des codes de Reed et Muller p-aires , 1988 .
[62] Michael Klemm,et al. Über den p-rang von inzidenzmatrizen , 1986, J. Comb. Theory, Ser. A.
[63] Tadao Kasami,et al. New generalizations of the Reed-Muller codes-I: Primitive codes , 1968, IEEE Trans. Inf. Theory.
[64] Helmut Koch,et al. On self-dual doubly-even extremal codes , 1990, Discret. Math..
[65] N. J. A. Sloane,et al. A strengthening of the Assmus-Mattson theorem , 1991, IEEE Trans. Inf. Theory.
[66] J. D. Key,et al. Hadamard matrices and their designs: a coding-theoretic approach , 1992 .
[67] James A. Maiorana. A classification of the cosets of the Reed-Muller code R(1, 6) , 1991 .
[68] E. H. Moore,et al. Concerning triple systems , 1893 .
[69] Dwijendra K. Ray-Chaudhuri,et al. Binary mixture flow with free energy lattice Boltzmann methods , 2022, arXiv.org.
[70] D. Slepian. Some further theory of group codes , 1960 .
[71] N. J. A. Sloane,et al. Good self dual codes exist , 1972, Discret. Math..
[72] Richard Brauer,et al. On the Connection Between the Ordinary and The Modular Characters of Groups of Finite Order , 1941 .
[73] Jean-Marie Goethals,et al. On a class of majority-logic decodable cyclic codes , 1968, IEEE Trans. Inf. Theory.
[74] Udo Ott. Endliche zyklische Ebenen , 1975 .
[75] W. G. Bridges,et al. Algebraic duality theorems with combinatorial applications , 1978 .
[76] J. Singer. A theorem in finite projective geometry and some applications to number theory , 1938 .
[77] Thierry P. Berger,et al. The automorphism group of Generalized Reed-Muller codes , 1993, Discret. Math..
[78] Edward F. Assmus. On the Reed-Muller codes , 1992, Discret. Math..
[79] Michel Dehon. Ranks of Incidence Matrices of t-designs Sλ(t, t+1, v) , 1980, Eur. J. Comb..
[80] R. C. Bose,et al. On the construction of sets of mutually orthogonal Latin squares and the falsity of a conjecture of Euler , 1960 .
[81] Barbu C. Kestenband. Unital intersections in finite projective planes , 1981 .
[82] G. Hölz. Construction of designs which contain a unital , 1981 .
[83] E. J. Weldon,et al. New generalizations of the Reed-Muller codes-II: Nonprimitive codes , 1968, IEEE Trans. Inf. Theory.
[84] Vladimir D. Tonchev,et al. On Symmetric and Quasi-Symmetric Designs with the Symmetric Difference Property and Their Codes , 1992, J. Comb. Theory A.
[85] Heinz Lüneburg,et al. Some remarks concerning the Ree groups of type (G2) , 1966 .
[86] R. C. Bose,et al. A Note on a Result in the Theory of Code Construction , 1959, Inf. Control..
[87] Johannes Siemons. Orbits in finite incidence structures , 1983 .
[88] Bhaskar Bagchi,et al. Designs from pairs of finite fields. A cyclic unital U(6) and other regular steiner 2-designs , 1989, J. Comb. Theory, Ser. A.
[89] Luther D. Rudolph,et al. A class of majority logic decodable codes (Corresp.) , 1967, IEEE Trans. Inf. Theory.
[90] Terry Czerwinski,et al. The Translation Planes of Order Twenty-Five , 1992, J. Comb. Theory, Ser. A.
[91] Neil J. A. Sloane,et al. Binary self-dual codes of length 24 , 1974 .
[92] Jean Doyen,et al. Ranks of incidence matrices of Steiner triple systems , 1978 .
[93] N. J. A. Sloane,et al. Self-Dual Codes over GF(5) , 1982, J. Comb. Theory, Ser. A.
[94] William M. Kantor. Plane Geometries Associated with Certain 2-Transitive Groups* , 1975 .
[95] Richard M. Wilson,et al. On $t$-designs , 1975 .
[96] Lowell J. Paige,et al. A Note on the Mathieu Groups , 1957, Canadian Journal of Mathematics.
[97] H. Mattson,et al. Coding and Combinatorics , 1974 .
[98] Aart Blokhuis,et al. Hermitian unitals are code words , 1991, Discret. Math..
[99] Michael Klemm,et al. Über die Reduktion von Permutationsmoduln , 1975 .
[100] Jennifer D. Key,et al. Arcs and Ovals in the Hermitian and Ree Unitals , 1989, Eur. J. Comb..
[101] Harold N. Ward,et al. On Ree’s series of simple groups , 1966 .
[102] Rudolf Metz. On a class of unitals , 1979 .
[103] H. Ward. Quadratic residue codes and symplectic groups , 1974 .
[104] 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 .
[105] Reinhold Baer. Homogeneity of Projective Planes , 1942 .
[106] R. Block. On the orbits of collineation groups , 1967 .
[107] N Hamada,et al. On the BIB Design Having the Minimum p-Rank , 1975, J. Comb. Theory A.
[108] E. H. Moore,et al. Tactical Memoranda I-III , 1896 .
[109] Hiroshi Kimura,et al. New Hadamard matrix of order 24 , 1989, Graphs Comb..
[110] Jennifer D. Key,et al. On an infinite class of steiner systems with t = 3 and k = 6 , 1986, J. Comb. Theory, Ser. A.
[111] René Schoof,et al. Hecke operators and the weight distributions of certain codes , 1991, Journal of Combinatorial Theory.
[112] P. Charpin,et al. Affine-invariant extended cyclic codes and partially ordered sets of antichains , 1990 .
[113] T. G. Ostrom,et al. Semi-translation planes , 1964 .
[114] G. Solomon,et al. A New Treatment of Bose-Chaudhuri Codes , 1961 .
[115] Marshall Hall. Note on the Mathieu group M12 , 1962 .
[116] H. Mattson,et al. New 5-designs , 1969 .
[117] F. Jessie MacWilliams,et al. On the p-Rank of the Design Matrix of a Difference Set , 1968, Inf. Control..
[118] Yvette Amice. Conjecture de Schanuel sur la transcendance d'exponentielles (d'après James AX) , 1971 .
[119] T. G. Ostrom,et al. On projective and affine planes with transitive collineation groups , 1959 .
[120] William M. Kantor,et al. Symplectic groups, symmetric designs, and line ovals , 1975 .
[121] J. J. Seidel,et al. Strongly Regular Graphs Derived from Combinatorial Designs , 1970, Canadian Journal of Mathematics.
[122] H. F. Mattson,et al. On tactical configurations and error-correcting codes* , 1967 .
[123] Bhaskar Bagchi,et al. Even order inversive planes, generalized quadrangles and codes , 1987 .
[124] Philippe Delsarte,et al. On cyclic codes that are invariant under the general linear group , 1970, IEEE Trans. Inf. Theory.
[125] Heinz Lüneburg,et al. Charakterisierungen der endlichen desarguesschen projektiven Ebenen , 1964 .
[126] George Szekeres,et al. On a combinatorial generalization of 27 lines associated with a cubic surface , 1969, Journal of the Australian Mathematical Society.
[127] R. Turyn. Character sums and difference sets. , 1965 .
[128] Richard W. Hamming,et al. Error detecting and error correcting codes , 1950 .
[129] Shu Lin,et al. Some Results on Cyclic Codes which Are Invariant under the Affine Group and Their Application , 1966, Inf. Control..
[130] Aiden A. Bruen,et al. Intersections in projective space I: Combinatorics , 1986 .
[131] Peter Lorimer,et al. A Projective Plane of Order 16 , 1974, J. Comb. Theory, Ser. A.
[132] Noboru Ito,et al. Classification of 3-(24, 12, 5) Designs and 24-Dimensional Hadamard Matrices , 1981, J. Comb. Theory, Ser. A.
[133] Alexander Pott,et al. Applications of the DFT to abelian difference sets , 1988 .
[134] Reihaneh Safavi-Naini,et al. Generalized t-Designs and Weighted Majority Decoding , 1979, Inf. Control..
[135] Alan R. Prince,et al. Biplanes and near biplanes , 1991 .
[136] R. Baer,et al. Projectivities of Finite Projective Planes , 1947 .
[137] Michael J. Ganley. A class of unitary block designs , 1972 .
[138] A. Bruen. Blocking Sets in Finite Projective Planes , 1971 .
[139] Oswald Veblen,et al. Non-Desarguesian and non-Pascalian geometries , 1907 .
[140] Gary L. Ebert. Translation planes of order ²: asymptotic estimates , 1978 .
[141] E. Berlekamp. Factoring polynomials over finite fields , 1967 .
[142] P. Dembowski,et al. Some characterizations of finite projective spaces , 1960 .
[143] Jennifer D. Key,et al. An upper bound for the p-rank of a translation plane , 1991, J. Comb. Theory, Ser. A.
[144] G. Eric Moorhouse. Bruck nets, codes, and characters of loops , 1991, Des. Codes Cryptogr..
[145] William O. Alltop,et al. An Infinite Class of 5-Designs , 1972, J. Comb. Theory, Ser. A.
[146] Vladimir D. Tonchev,et al. Quasi-symmetric 2-(31, 7, 7) designs and a revision of Hamada's conjecture , 1986, J. Comb. Theory, Ser. A.
[147] C. E. SHANNON,et al. A mathematical theory of communication , 1948, MOCO.