Andrew Odlyzko: Papers on Error-correcting Codes, Sphere Packings, and Related Topics

• Construction of invertible sequences for multipath estimation, A. M. Odlyzko, pp. 323-331 in Communications and Cryptography: Two sides of One Tapestry, R. E. Blahut, D. J. Costello, Jr., U. Maurer, and T. Mittelholzer (eds.), Kluwer, (1994). [PDF]

• On the packing densities of superballs and other bodies, N. D. Elkies, A. M. Odlyzko, and J. A. Rush, Inventiones math., 105 (1991), pp. 613-639. [online journal version]

• Lattice points in high-dimensional spheres, J. E. Mazo and A. M. Odlyzko, Monatsh. Math., 110 (1990), pp. 47-61. [online journal version]

• Balancing sets of vectors, N. Alon, E. E. Bergmann, D. Coppersmith, and A. M. Odlyzko, IEEE Trans. Information Theory, IT-34 (1988), pp. 128-130. [PDF]

• Half weight block codes for optical comunication, E. E. Bergmann, A. M. Odlyzko, and S. H. Sangani, AT&T Technical J., 65 (3) (May-June 1986), pp. 85-93.

• On the existence of optimum cyclic burst-correcting codes, K. A. S. Abdel-Ghaffar, R. J. McEliece, A. M. Odlyzko, and H. C. A. van Tilborg, IEEE Trans. Information Theory, IT-32 (1986), pp. 768-775.

• On exceptions of integral quadratic forms, A. M. Odlyzko and N. J. A. Sloane, J. reine angew. Math., 321 (1981), pp. 212-216. [online journal version]

• A theta-function identity for nonlattice packings, A. M. Odlyzko and N. J. A. Sloane, Studia Sci. Math. Hungar., 15 (1980), pp. 461-465. Reprinted in Development of the Mathematical Ideas of Mykhailo Kravchuk (Krawtchouk), N. Virchenko, I. Katchanovski, V. Haidey, R. Andrushkiw, and R. Voronka, eds., National Technical University of Ukraine "KPI," 2004, pp. 453-457.

• Self-dual codes over GF(4), F. J. MacWilliams, A. M. Odlyzko, N. J. A. Sloane, and H. N. Ward, J. Comb. Theory A, 25 (1978), pp. 288-318.

• Maximal prefix-synchronized codes, L. J. Guibas and A. M. Odlyzko, SIAM J. Appl. Math., 35 (1978), pp. 401-418.

• Extremal self-dual lattices exist only in dimensions 1-8, 12, 14, 15, 23, and 24, J. H. Conway, A. M. Odlyzko, and N. J. A. Sloane, Mathematika, 25 (1978), pp. 36-43. Reprinted in modified form as Chapter 19, Enumeration of extremal self-dual lattices, pp. 439-442 in J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Codes, Springer 1988.

• Bounds for binary codes of length less than 25, M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko, and N. J. A. Sloane, IEEE Trans. Information Theory, IT-24 (1978), pp. 81-93.

• Upper bounds for modular forms, lattices, and codes, C. L. Mallows, A. M. Odlyzko, and N. J. A. Sloane, J. Algebra, 36 (1975), pp. 68-76.

• A new theorem about the Mattson-Solomon polynomial and some applications, A. M. Kerdock, F. J. MacWilliams, and A. M. Odlyzko, IEEE Trans. Information Theory, IT-20 (1974), pp. 85-89.