- Restrictions on Weight Distribution of Reed-Muller Codes,
E. R. Berlekamp and N. J. A. Sloane, Information and Control, 14 (1969), pp. 442-456.
- The Weight Enumerator for Second-Order Reed-Muller Codes, N. J. A. Sloane and E. R. Berlekamp, IEEE Trans. Information Theory, IT-16 (1970), pp. 745-751.
- A New Family of Single-Error Correcting Codes, N. J. A. Sloane and D. S. Whitehead, IEEE Trans. Information Theory, IT-16 (1970), pp. 717-719.
- A New Family of Nonlinear Codes Obtained from Conference Matrices, N. J. A. Sloane and J. J. Seidel, Annals New York Academy of Sciences, 175 (1970), pp. 363-365.
- On the Enumeration of Cosets of First-Order Reed-Muller Codes, N. J. A. Sloane and R. J. Dick, in Proceedings IEEE International Conference on Communications, Montreal 1971, IEEE Press, NY, 7 (1971), pp. 36-2 to 36-6.
- A Survey of Recent Results in Constructive Coding Theory, N. J. A. Sloane, Proceedings IEEE National Telemetering Conference 1971, IEEE Press, NY, 1971, pp. 218-227.
- Coset Analysis of Reed-Muller Codes via Translates of Finite Vector Spaces, R. P. Kurshan and N. J. A. Sloane, Information and Control, 20 (1972), pp. 410-414.
- Gleason's Theorem on Self-Dual Codes, E. R. Berlekamp, F. J. MacWilliams and N. J. A. Sloane, IEEE Trans. Information Theory, IT-18 (1972), pp. 409-414.
- New Binary Codes, N. J. A. Sloane, R. M. Reddy and C. L. Chen, IEEE Trans. Information Theory, IT-18 (1972), pp. 503-510.
- Good Self-Dual Codes Exist, F. J. MacWilliams, N. J. A. Sloane and J. G. Thompson, Discrete Math., 3 (1972), pp. 153-162.
- A Survey of Constructive Coding Theory,
and a Table of Binary Codes of Highest Known Rate,
N. J. A. Sloane,
Discrete Math., 3 (1972), pp. 265-294, Reprinted in ``Key Papers in the Development of Coding Theory'', E. R. Berlekamp, Ed., IEEE Press, NY, 1974, pp. 277-285. Russian translation in ``Cybernetics Collection'', New Series, No. 10, A. A. Ljapunov and O. B. Lupanov, Eds., Mir, Moscow, 1973, pp. 5-32.
- The MacWilliams Identities for Nonlinear Codes, F. J. MacWilliams, N. J. A. Sloane and J. M. Goethals, Bell Sys. Tech. J., 51 (1972), pp. 803-819, Reprinted in ``Algebraic Coding Theory - History and Development'', I. F. Blake, Ed., Dowden, Hutchinson and Ross, Stroudsberg, PA, 1973, pp. 263-279.
- Generalizations of Gleason's Theorem on Weight Enumerators of Self-Dual Codes, F. J. MacWilliams, C. L. Mallows and N. J. A. Sloane, IEEE Trans. Information Theory, IT-18 (1972), pp. 794-805.
- An Upper Bound for Self-Dual Codes, C. L. Mallows and N. J. A. Sloane, Information and Control, 22 (1973), pp. 188-200.
- Is There a (72,36) d = 16 Self-Dual Code?, N. J. A. Sloane, IEEE Trans. Information Theory, IT-19 (1973), page 251.
- Weight Enumerators of Self-Orthogonal Codes, C. L. Mallows and N. J. A. Sloane, Discrete Math., 9 (1974), pp. 391-400.
- A Short Course on Error-Correcting Codes (Lectures given at the International Centre for Mechanical Sciences, Udine, Italy, 1973), N. J. A. Sloane, Springer-Verlag, NY, 1975.
- On the Classification and Enumeration of Self-Dual Codes, V. Pless and N. J. A. Sloane, J. Combinatorial Theory, Series A, 18 (1975), pp. 313-335.
- Binary Self-Dual Codes of Length 24, V. Pless and N. J. A. Sloane, Bull. Amer. Math. Soc., 80 (1974), pp. 1173-1178.
- 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.
- Weight Enumerators of Codes, N. J. A. Sloane, Combinatorics, M. Hall, Jr. and J. H. van Lint (editors), Mathematical Centre, Amsterdam, and Reidel Publishing Co., Dordrecht, Holland, 1975, pp. 115-142.
- Complete Classification of (24,12) and (22,11) Self-Dual Codes, V. Pless and N. J. A. Sloane, M.I.T., Cambridge, MA, June 1974.
- Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique, N. J. A. Sloane, Amer. Math. Monthly, 84 (1977), pp. 82-107.
- An Introduction to Association Schemes and Coding Theory, N. J. A. Sloane, Theory and Applications of Special Functions, R. A. Askey (editor), Academic Press, NY, 1975, pp. 225-260.
- A Simple Description of an Error-Correcting Code for High Density Magnetic Tape, N. J. A. Sloane, Bell Sys. Tech. J., 55 (1976), pp. 157-165.
- Self-Dual Codes Over GF(3), C. L. Mallows, V. Pless and N. J. A. Sloane, SIAM J. Appl. Math., 31 (1976), pp. 649-666.
- The Theory of Error-Correcting Codes,
F. J. MacWilliams and N. J. A. Sloane, North-Holland, Amsterdam, 1978, 762 pp.,
Russian translation ``Teoriya kodov, ispravlyayushchikh oshibki'' by I. I. Grushko and V. A. Zinov'ev, edited by L. A. Bassalygo, published by Svyaz, Moscow, 1979.
- 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, Russian translation in Kibern. Sb., Nov. Ser., Vol. 17 (1980), 28-59.
- Self-Dual Codes Over GF(4), F. J. MacWilliams, A. M. Odlyzko, N. J. A. Sloane and H. N. Ward, J. Combinatorial Theory, Series A, 25 (1978), pp. 288-318.
- Codes over GF(4) and Complex Lattices, N. J. A. Sloane, J. Algebra, 52 (1978), pp. 168-181.
- Binary Codes, Lattices, and Sphere-Packings, N. J. A. Sloane, Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference, P. J. Cameron (editor), Academic Press, NY, 1977, pp. 117-164, Russian translation in ``Mathematics: New in Foreign Science'', Vol. 19 (1980), pp. 219-249.
- Self-Dual Codes and Lattices, N. J. A. Sloane, Relations Between Combinatorics and Other Parts of Mathematics., Proc. Symp. Pure Math., Vol. 34, American Mathematical Society, Providence, RI, 1979, pp. 273-308.
- Self-Dual Codes over GF(3) and GF(4) of Length Not Exceeding 16, J. H. Conway, V. Pless and N. J. A. Sloane, IEEE Trans. Information Theory, IT-25 (1979), pp. 312-322.
- Lower Bounds for Constant Weight Codes, R. L. Graham and N. J. A. Sloane, IEEE Trans. Information Theory, IT-26 (1980), pp. 37-43.
- Ternary Codes of Minimum Weight 6, and the Classification of Self-Dual Codes of Length 20, V. Pless, N. J. A. Sloane and H. N. Ward, IEEE Trans. Information Theory, IT-26 (1980), pp. 305-316.
- On Constant Weight Codes and Harmonious Graphs, R. L. Graham and N. J. A. Sloane, Proceedings West Coast Conference on Combinatorics, Graph Theory and Computing, September 1979, Utilitas Math. Pub. Co., Winnipeg, 1980, pp. 25-40.
- A Note on the Leech Lattice as a Code for the Gaussian Channel, N. J. A. Sloane, Information and Control, 46 (1980), pp. 270-272.
- On Ternary Self-Dual Codes of Length 24, J. S. Leon, V. Pless and N. J. A. Sloane, IEEE Trans. Information Theory, IT-27 (1981), pp. 176-180.
- Weight Enumerators of Self-Orthogonal Codes Over GF(3), C. L. Mallows and N. J. A. Sloane, SIAM J. Algebraic and Discrete Methods, 2 (1981), pp. 452-460.
- Fast Quantizing and Decoding Algorithms for Lattice Quantizers and Codes, J. H. Conway and N. J. A. Sloane, in IEEE Trans. Information Theory, IT-28 (1982), pp. 227-232, Reprinted in ``Vector Quantization'', H. Abut, Ed., IEEE Press, NY, 1990, pp. 134-139.
- The Detection of Long Error Bursts During Transmission of Video Signals, K. Janac and N. J. A. Sloane, Bell Sys. Tech. J., 61 (1982), pp. 1911-1917.
- Self-Dual Codes Over GF(5), J. S. Leon, V. Pless and N. J. A. Sloane, J. Combinatorial Theory, Series A, 32 (1982), pp. 178-194.
- Fast 4- and 8-Dimensional Quantizers and Decoders, J. H. Conway and N. J. A. Sloane, National Telecomm. Conf. Record - 1981, IEEE Press, NY, 3 (1981), pp. F4.2.1-F4.2.4.
- Cyclic Self-Dual Codes, N. J. A. Sloane and J. G. Thompson, IEEE Trans. Information Theory, IT-29 (1983), pp. 364-366.
- A Fast Encoding Method for Lattice Codes and Quantizers, J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-29 (1983), pp. 820-824.
- Shift-Register Synthesis (Modulo m), J. A. Reeds and N. J. A. Sloane, SIAM J. Computing, 14 (1985), pp. 505-513.
- Four-Dimensional Modulation with an Eight-State Trellis Code, A. R. Calderbank and N. J. A. Sloane, AT&T Tech. J., 64 (1985), pp. 1005-1018.
- Soft Decoding Techniques for Codes and Lattices,
Including the Golay Code and the Leech Lattice,
[note:
Fig. 1 ,
Fig. 2 ,
are in separate files]
J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-32 (1986), pp. 41-50.
- New Permutation Codes Using Hadamard Unscrambling, M. R. Schroeder and N. J. A. Sloane, IEEE Trans. Information Theory, IT-33 (1987), pp. 144-146.
- New Trellis Codes Based on
Lattices and Cosets,
[note:
Fig. 1 ,
Fig. 2 ,
Fig. 3 ,
Fig. 4 ,
Fig. 5 ,
Fig. 6 ,
Fig. 7 ,
Fig. 8 ,
Fig. 9 ,
Fig. 10 ,
Fig. 11 ,
Fig. 12 ,
Fig. 13 ,
Fig. 14 ,
Fig. 15 ,
Fig. 16 ,
Fig. 17 ,
Fig. 18 ,
Fig. 19 ,
are in separate files]
A. R. Calderbank and N. J. A. Sloane, IEEE Trans. Information Theory, IT-33 (1987), pp. 177-195.
- Lexicographic Codes:
Error-Correcting Codes from Game Theory,
[note:
Fig. 1 ,
Fig. 2 ,
Fig. 3
are in separate files]
J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, IT-32 (1986), pp. 337-348.
- A New Family of Codes for Dial-Up Voice Lines, A. R. Calderbank and N. J. A. Sloane, Proc. IEEE Conf. Global Commun. Globecom '84, IEEE Press, NY, 1984, pp. 673-676.
- Decoding Techniques for Multi-Dimensional Codes, J. H. Conway and N. J. A. Sloane, U. S. Patent No. 4,507,648, March 26, 1985.
- An Eight-Dimensional Trellis Code, A. R. Calderbank and N. J. A. Sloane, Proc. IEEE, 74 (1986), pp. 757-759.
- Penny-Packing and Two-Dimensional Codes, R. L. Graham and N. J. A. Sloane, Discrete and Comput. Geom., 5 (1990), pp. 1-11.
- Multi-Dimensional Coding For Error Reduction, A. R. Calderbank and N. J. A. Sloane, U. S. Patent No. 4,581,601, April 8, 1986.
- The Automorphism Group of an
[18,9,8] Quaternary Code,
[note:
Fig. 1 ,
Fig. 2 ,
Fig. 3 and
Fig. 4
are in separate files]
Y. Cheng and N. J. A. Sloane, Discrete Math., 83 (1990), pp. 205-212.
- Codes from Symmetry Groups and
a [32,17,8] Code,
[note:
Fig. 1 ,
Fig. 2 ,
Fig. 4 and
Fig. 5
are in separate files]
Y. Cheng and N. J. A. Sloane, SIAM J. Discrete Math., 2 (1989), pp. 28-37.
- A [45,13] Code with Minimal Distance 16,
[note: some
figure(s)
are in a separate file]
J. H. Conway, S. J. Lomonaco, Jr. and N. J. A. Sloane,
Discrete Math., 83 (1990), pp. 213-217.
- A New Table of Constant Weight Codes, A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, IEEE Trans. Information Theory, 36 (1990), pp. 1334-1380.
- A Strengthening
of the Assmus-Mattson Theorem,
A. R. Calderbank, P. Delsarte and N. J. A. Sloane, IEEE Trans. Information Theory, 37 (1991), pp. 1261-1268.
- Representation Theory, Group Rings, and Coding Theory: Papers in Honor of S. D. Berman, M. Isaacs, A. Lichtman, D. Passman, S. Sehgal, N. J. A. Sloane and H. Zassenhaus, Amer. Math. Soc., Providence, RI, 1989.
- Orbit and Coset Analysis of the Golay and Related Codes, J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, 36 (1990), pp. 1038-1050.
- A New Upper Bound on the Minimal Distance
of Self-Dual Codes,
J. H. Conway and N. J. A. Sloane, IEEE Trans. Information Theory, 36 (1990), pp. 1319-1333.
- Multi-Dimensional Coding for Error Reduction, A. R. Calderbank and N. J. A. Sloane, U. S. Patent Re. 33,041, August 29, 1989.
- Unsolved Problems in
Graph Theory Arising from the Study of Codes,
N. J. A. Sloane, Graph Theory Notes of New York, 18 (1989), pp. 11-20.
- The Binary Self-Dual Codes of Length Up
to 32: A Revised Enumeration,
[note:
Table A and
Table D
are in separate files]
J. H. Conway, V. Pless and N. J. A. Sloane, J. Combinatorial Theory, Series A, 60 (1992), pp. 183-195.
- Trellis Coding Arrangement, A. R. Calderbank and N. J. A. Sloane, U. S. Patent No. 4,939,555, July 3, 1990.
-
Claude Elwood Shannon: Collected Papers,
N. J. A. Sloane and A. D. Wyner,
IEEE Press,
NY,
1993, 924 pp.
- Covering Arrays and Intersecting Codes,
N. J. A. Sloane, J. Combinatorial Designs, 1 (1993), pp. 51-63, Also DIMACS Technical Report 93-48, August 1993.
- Claude Elwood Shannon: Collected Papers, Supplementary Volume,
N. J. A. Sloane and A. D. Wyner, 1993, Deposited in The Library of Congress,
The British Library, and the libraries of M.I.T., Cornell,
Univ. Mich. and AT&T Bell Laboratories.
-
Bounds on Mixed Binary/Ternary Codes
,
A. E. Brouwer, H. O. Hamalainen, P. R. J. Ostergard and N. J. A. Sloane,
IEEE Trans. Information Theory,
44 (1998), 140-161.
- Self-Dual Codes,
E. M. Rains and N. J. A. Sloane, in
Handbook of Coding Theory,
V. S. Pless and W. C. Huffman (editors),
Elsevier,
Amsterdam,
1998, pp. 177-294.
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