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Edward F. Assmus, Jr. (1931–1998)

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Publications of E. F. Assmus, Jr.

  1. E. F. Assmus, Jr., On the homology of local rings, Illinois J. Math., Vol. 1 (1959) pp. 187-199.

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  2. E. F. Assmus, Jr., Betti numbers of local rings, Reports of the seminar on algebra Summer 1959, Technical Report No. 2, Contract NONR-212 l(12)between the office of Naval Research and the University of Chicago.

  3. E. F. Assmus, Jr., A continuous function, Amer. Math. Monthly, Vol. 69 (1962) p. 647.

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  4. E. F. Assmus, Jr., and H. F. Mattson, Error-correcting codes: an axiomatic approach, Inform. and Control, Vol. 6 (1963) pp. 315-330.

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  5. E. F. Assmus, Jr., On some mathematical aspects of production from consumption, Public Finance, Vol. XX (1965) pp. 199-202.

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  6. E. F. Assmus, Jr., and H. F. Mattson, Jr., Perfect codes and the Mathieu groups, Arch. Math., Vol. 17 (1966) pp. 122-135.

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  7. E. F. Assmus, Jr., and H. F. Mattson, Jr., Disjoint Steiner systems associated with the Mathieu groups, Bull. Amer. Math. Soc., Vol. 72 (1966) pp. 843-845.

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  8. E. F. Assmus, Jr., and H. F. Mattson, Jr., On the number of inequivalent Steiner triple systems, J. Combin. Theory, Vol. 1 (1966) pp. 301-305.

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  9. E. F. Assmus, Jr., and H. F. Mattson, Jr., On tactical configurations and error-correcting codes, J. Combin. Theory, Vol. 2 (1967) pp. 243-257.

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  10. E. F. Assmus, Jr., and H. F. Mattson, Jr., Intersections of cyclic Hamming codes, J. Combin. Theory, Vol. 3 (1967) p. 307.

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  11. E. F. Assmus, Jr., H. F. Mattson, Jr., and R. J. Turyn. Research to Develop the Algebraic Theory of Codes, Applied Research Laboratory, Sylvania Electronic Systems, June 1967. No. AFCRL-67-0365. Contract No. AF19(628)-5998.

  12. E. F. Assmus, Jr., and J. J. Florentin, Algebraic machine theory and logical design, in Algebraic Theory of Machines (M. Arbib, ed.), Academic Press, Chapter 2 (1968) pp. 15-35

  13. E. F. Assmus, Jr., On the optimality of cyclic codes, Proceedings of the Hawaii International Conference on System Sciences, University of Hawaii Press (1968).

  14. E. F. Assmus, Jr., and H. F. Mattson, Jr., Some (3p, p) codes, Information Processing 68, Vol. 1 (1969) pp. 205-209.

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  15. E. F. Assmus, Jr., and H. F. Mattson, Jr., On the automorphism groups of Paley-Hadamard matrices, Combinatorial Mathematics and its Applications, Chapter 6, University of North Carolina Press (1969).

  16. E. F. Assmus, Jr., and H. F. Mattson, Jr., New 5-designs, J. Combin. Theory, Vol. 6 (1969) pp. 122-151.

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  17. E. F. Assmus, Jr., The projective plane of order 10?, Mathematisches Forschungsinstitut, Oberwolfach, Germany, April 1, 1970.

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  18. E. F. Assmus, Jr., and H. F. Mattson, Jr., On the possibility of a projective plane of order 10, Algebraic Theory of Codes II, GTE Sylvania, October, 1970. AFCRL-71-0013.Contract No. F19628-69-C-0068.

  19. E. F. Assmus, Jr., and H. F. Mattson, Jr., On weights in quadratic-residue codes, Discrete Math., Vol. 3 (1972) pp. 1-20.

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  20. E. F. Assmus, Jr., and H. F. Mattson, Jr., Contractions of self-orthogonal codes, Discrete Math., Vol. 3 (1972) pp. 21-32.

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  21. E. F. Assmus, Jr., H. F. Mattson, Jr., and Marcia Guza, Self-orthogonal Steiner systems and projective planes, Math. Z., Vol. 138 (1974) pp. 89-96.

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  22. E. F. Assmus, Jr., and Maria Teresa Hermoso, Non-existence of Steiner systems of type S(d — 1, d, 2d), Math. Z., Vol. 138 (1974) pp. 171-172.

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  23. E. F. Assmus, Jr., and H. F. Mattson, Jr., Coding and combinatorics, Siam Review, Vol. 16 (1974) pp. 349-388.

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  24. E. F. Assmus, Jr., and H. F. Mattson, Jr., Some 3-error-correcting BCH codes have covering radius 5, IEEE Trans. Inform. Theory, Vol. 22 (1976) pp. 348-349.

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  25. E. F. Assmus, Jr., H. F. Mattson, Jr., and Howard E. Sachar. A new form of the square-root bound, SIAM J. Appl. Math., Vol. 30 (1976) pp. 352-354.

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  26. E. F. Assmus, Jr., J.-M. Goethals, and H. F. Mattson, Jr., Generalized t-designs and majority decoding of linear codes, Information and Control, Vol. 32 (1976) pp. 43-60.

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  27. E. F. Assmus, Jr., Joseph A. Mezzaroba, and Chester J. Salwach, Planes and biplanes, in Higher Combinatorics (M. Aigner, ed.), Proceedings of the NATO Conference, D. Reidel, Berlin (1976) pp. 205-212.

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  28. E. F. Assmus, Jr., and Howard E. Sachar, Ovals from the point of view of coding theory, in Higher Combinatorics (M. Aigner, ed.), Proceedings of the NATO Conference, D. Reidel, Berlin (1977) pp. 213-216.

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  29. E. F. Assmus, Jr., and D. P. Maher, Nonexistence proofs for projective designs, Amer. Math. Monthly, Vol. 85 (1978) pp. 110-112.

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  30. E. F. Assmus, Jr., H. F. Mattson, Jr., The weight-distribution of a coset of a linear code, IEEE Trans. Inform. Theory, Vol. IT-24 (1978) p. 497.

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  31. E. F. Assmus, Jr., and Chester J. Salwach, The (16,16,2) designs, Internat. J. Math. & Math. Sci, Vol. 2 (1979) pp. 261-281.

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  32. E. F. Assmus, Jr., and J. H. van Lint, Ovals in projective designs, J. Combin. Theory, Ser. A, Vol. 27 (1979) pp. 307-324.

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  33. E. F. Assmus, Jr., and J. E. Novillo Sardi, Generalized Steiner systems of type 3—(υ, 4, 6, 1), Proceedings of the Finite Geometries and Designs Conference, Sussex, June 1970, Cambridge University Press (1981) pp. 16-21.

  34. E. F. Assmus, Jr., and Vera Pless, On the covering radius of extremal self-dual codes, IEEE Trans. Inform. Theory, Vol. IT-29 (1983) pp. 359-363.

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  35. E. F. Assmus, Jr., Applications of algebraic coding theory to finite geometric problems, in Finite Geometries (N. L. Johnson, et al., eds.), Lecture Notes in Pure and Applied Math., M. Dekker, New York (1983) pp. 23-32.

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  36. E. F. Assmus, Jr., Estensioni per ovali di piani e bipiani e questioni collegate, Lecture Notes of lectures delivered in the Seminario di Geometrie Combinatorie diretto da G. Tallini, Universita Degli Studi di Roma, Instituto “Guido Castelnuovo”, no. 45, Giugno (1983).

  37. E. F. Assmus, Jr., The binary code arising from a 2-design with a nice collection of ovals, IEEE Trans. Inform. Theory, Vol. 29 (1983) pp. 367-369.

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  38. E. F. Assmus, Jr., Pi, Amer. Math. Monthly, Vol. 92 (1985) pp. 213-214.

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  39. E. F. Assmus, Jr., The non-existence of an oval-extendable (56, 11, 2) design, Journal of Geometry, Vol. 24 (1985) pp. 168-174.

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  40. E. F. Assmus, Jr., Extending planar spaces, International Conference on Finite Geometry and Combinatorics, Deinze (Ghent) (1986).

  41. E. F. Assmus, Jr., and J. D. Key, On an infinite class of Steiner systems with t = 3 and k = 6, J. Combin. Theory, Ser. A, Vol. 42 (1986) pp. 55-60.

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  42. E. F. Assmus, Jr., Biplanes in planes, Congr. Numer., Vol. 60 (1987) pp. 279-294.

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  43. E. F. Assmus, Jr., The coding theory of finite geometries and designs, Lecture Notes in Computer Science, Vol. 357 (1989) pp. 1-6.

  44. E. F. Assmus, Jr., On the theory of designs, in Surveys in Combinatorics, 1989 (J. Siemons, ed.), London Mathematical Society Lecture Note Series 141, Cambridge University Press, Cambridge (1989) pp. 1-21.

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  45. E. F. Assmus, Jr., and J. D. Key, Arcs and ovals in the hermitian and Ree unitals, European J. Combin., Vol. 10 (1989) pp. 297-308.

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  46. E. F. Assmus, Jr., and J. D. Key, Affine and projective planes, Discrete Math., Vol. 83 (1990) pp. 161-187.

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  47. E. F. Assmus, Jr., and J. D. Key, Baer subplanes, ovals and unitals, Coding Theory and Design Theory, Part I (D. Ray-Chaudhuri, ed.), The IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York, 20 (1990) pp. 1-8.

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  48. E. F. Assmus, Jr., and J. D. Key, Translation planes and derivation sets, J. Geom., Vol. 37 (1990) pp. 3-16.

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  49. E. F. Assmus, Jr., and Alan R. Prince, Biplanes and near biplanes, J. Geom., Vol. 40 (1991) pp. 1-14.

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  50. E. F. Assmus, Jr., On the Reed-Muller codes, Discrete Math., Vol. 106/107 (1992) pp. 25-33.

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  51. E. F. Assmus, Jr., and J. D. Key, Designs and Their Codes, Cambridge Tracts in Mathematics, Cambridge University Press, 103 (1992). Second printing with corrections (1993).

  52. E. F. Assmus, Jr., and J. D. Key, Hadamard matrices and their designs: a coding-theoretic approach, Trans. Amer. Math. Soc., Vol. 330 (1992) pp. 269-293.

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  53. E. F. Assmus, Jr., and Jennifer D. Key, Codes and finite geometries, Technical report, INRIA, Report No. 2027 (1993).

  54. E. F. Assmus, Jr., On 2-ranks of Steiner triple systems, Electron. J. Combin., Vol. 2 (1995) Research paper 9.

  55. E. F. Assmus, Jr., On Berman's characterization of the Reed-Muller codes, J. Statist. Plann. Inference, Vol. 56 (1996) pp. 17-21.

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  56. E. F. Assmus, Jr., and J. D. Key, Designs and codes: an update, Des. Codes Cryptogr., Vol. 9 (1996) pp. 7-27.

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  57. E. F. Assmus, Jr., The category of linear codes, IEEE Trans. Inform. Theory, Vol. 44 (1998) pp. 612-629.

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  58. E. F. Assmus, Jr., Linearly derived Steiner triple systems, Des. Codes Cryptogr., Vol. 13 (1998) pp. 1-19.

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  59. E. F. Assmus, Jr., and J. D. Key, Polynomial codes and finite geometries, Handbook of Coding Theory (V Pless and W. C. Huffman, eds.), Elsevier (1998).

  60. E. F. Assmus, Jr., and A. Drisko, Binary codes of odd-order nets, this volume.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Clemson University, Clemson, SC, 29634

    J. D. Key

  2. Computer and Information Science, Syracuse University, Syracuse, NY, 13244

    H. F. Mattson Jr.

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Key, J.D., Mattson, H.F. Edward F. Assmus, Jr. (1931–1998). Designs, Codes and Cryptography 17, 7–11 (1999). https://doi.org/10.1023/A:1008338101197

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