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We present a novel technique for encoding and decoding constant weight binary codes that uses a geometric interpretation of the codebook.
M. Dehn, “Über den Rauminhalt,” Nachr. Gesell. Wiss. Göttingen, Math.-Phys. Kl. , pp. 345–354, 1900; also Math. Ann. , vol. 55, pp. 465–478, 1902
1902
Earlier work this paper cites.
J.-P. Sydler, Sur les tétraèdres équivalents à un cube, Elem. Math. , vol. 11, pp. 78–81, 1956
1956
Earlier work this paper cites.
J.-P. Sydler, “Conditions nécessaires et suffisantes pour l’équivalence des polyèdres de l’espace euclidien à trois dimensions, Comm. Math. Helv. , vol. 40, pp. 43–80, 1965
1965
Earlier work this paper cites.
B. Jessen, “The algebra of polyhedra and the Dehn-Sydler theorem,” Math. Scand. , vol. 22, pp. 241–256, 1968
1968
Earlier work this paper cites.
H. Lindgren, Geometric Dissections , Van Nostrand, Princeton, NJ, 1964; revised edition with an appendix by G. Frederickson, Dover, NY, 1972
1972
Earlier work this paper cites.
J. P. M. Schalkwijk, “An algorithm for source coding,” IEEE Trans. Inform. Theory , vol. IT-18, pp. 395–399, May 1972
1972
Earlier work this paper cites.
T. M. Cover, “Enumerative source encoding,” IEEE Trans. Inform. Theory , vol. 19, no. 1, pp. 73–77, Jan. 1973
1973
Earlier work this paper cites.
H. S. M. Coxeter, Regular Polytopes , 3rd. ed., Dover, NY, 1973
1973
Earlier work this paper cites.
V. G. Boltianskii, Hilbert’s Third Problem , Translated from the Russian by R. A. Silverman, Wiley, NY, 1978
1978
Earlier work this paper cites.
A. Nijenhuis and H. S. Wilf, Combinatorial Algorithms , 2nd. ed., Academic Press, NY, 1978
1978
Earlier work this paper cites.
J. Rissanen, “Arithmetic codings as number representations,” in Topics in Systems Theory. Acta Polytech. Scand. Math. Comput. Sci. , vol. 31, pp. 44–51, 1979
1979
Cited alongside, same era.
J. Rissanen and G. G. Langdon, Jr., “Arithmetic coding,” IBM J. Res. Develop. , vol. 23, no. 2, pp. 149–162, 1979
1979
Cited alongside, same era.
C.-H. Sah, Hilbert’s Third Problem: Scissors Congruence , Pitman, London, 1979
1979
Cited alongside, same era.
D. K. Pradhan and J. J. Stiffler, “Error correcting codes and self-checking circuits in fault-tolerant computers,” IEEE Computer Magazine , vol. 13, pp. 27–37, Mar. 1980
1980
Cited alongside, same era.
D. T. Tang and L. S. Woo, “Exhaustive test pattern generation with constant weight vectors,” IEEE Trans. Comput. , vol. C-32, pp. 1145–1150, Dec. 1983
1983
Cited alongside, same era.
S. Verdu and V. K. Wei, “Explicit construction of optimal constant-weight codes for identification via channels,” IEEE Trans. Inform. Theory , vol. 39, pp. 30–36, Jan. 1993
1993
Later among the works it cites.
G. M. Ziegler, Lectures on Polytopes , Springer-Verlag, NY, 1995
1995
Later among the works it cites.
P. R. Cromwell, Polyhedra , Cambridge Univ. Press, 1997
1997
Later among the works it cites.
G. N. Frederickson, Dissections: Plane and Fancy , Cambridge Univ. Press, 1997
1997
Later among the works it cites.
B. Grünbaum, Convex Polytopes , 2nd. ed., Springer-Verlag, NY, 2003
2003
Later among the works it cites.
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D. E. Knuth, “Efficient balanced codes,” IEEE Trans. Inform. Theory , vol. 32, no. 1, pp. 51–53, Jan. 1986
1986
Cited alongside, same era.
I. H. Witten, R. M. Neal, and J. G. Cleary, “Arithmetic coding for data compression,” Commun. ACM , vol. 30, pp. 520–540, June 1987
1987
Cited alongside, same era.
A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, “A new table of constant weight codes,” IEEE Trans. Inform. Theory , vol. 36, pp. 1334–1380, Nov. 1990
1990
Cited alongside, same era.
T. V. Ramabadran, “A coding scheme for m-out-of-n codes,” IEEE Trans. Commun. , vol. 38, no. 8, pp. 1156–1163, Aug. 1990
1990
Cited alongside, same era.
D. Wells, The Penguin Dictionary of Curious and Interesting Geometry , Penguin Books, London, 1991
1991
Cited alongside, same era.
M. J. M. Hill, “Determination of the volumes of certain species of tetrahedra without employment of the method of limits,” Proc. London Math. Soc. , vol. 27, pp. 39–53, 1896
Cited in the paper.
2003
Later among the works it cites.
V. A. Vaishampayan and M. D. Feuer, “An overlay architecture for managing lightpaths in optically routed networks,” IEEE Trans. Commun. , vol. 53, pp. 1729–1737, Oct. 2005
2005
Later among the works it cites.
T. M. Cover and J. A. Thomas, Elements of Information Theory , 2rd. ed., Wiley-Interscience, NY, 2006
2006
Later among the works it cites.
N. J. A. Sloane, The On-Line Encyclopedia of Integer Sequences , published electronically at www.research.att.com/ ∼ \sim njas/sequences/, 1996–2007
2007
Closest in time.