Faculty Publications - Elwyn R. Berlekamp

Books

E. R. Berlekamp, J. H. Conway, and R. K. Guy, Winning Ways for Your Mathematical Plays, 2nd ed., Natick, MA: A K Peters, Ltd., 2004. [abstract]
E. R. Berlekamp, The Dots-and-Boxes Game: Sophisticated Child's Play, Natick, MA: A.K. Peters, Ltd., 2000. [abstract]
E. R. Berlekamp and T. Rodgers, Eds., The Mathemagician and Pied Puzzler: A Collection in Tribute to Martin Gardner, Natick, MA: A K Peters, Ltd., 1999. [abstract]
E. R. Berlekamp and D. Wolfe, Mathematical Go: Chilling Gets the Last Point, Wellesley, MA: A K Peters, 1994. [abstract]
E. R. Berlekamp, Algebraic Coding Theory, rev. ed., Laguna Hills, CA: Aegean Park Press, 1984. [abstract]
E. R. Berlekamp, J. H. Conway, and R. K. Guy, Winning Ways for your mathematical plays (Volume 1: Games in General; Volume 2: Games in Particular), New York: Academic Press, 1982. [abstract]
E. R. Berlekamp, Ed., Key Papers in the Development of Coding Theory, IEEE Press Selected Reprint Series, New York: Institute of Electrical and Electronics Engineers, 1974. [abstract]
E. R. Berlekamp, Algebraic Coding Theory, McGraw-Hill Series in Systems Science, New York: McGraw-Hill, 1968. [abstract]

E. R. Berlekamp, "Idempotents among partisan games," in More Games of No Chance, R. Nowakowski, Ed., Vol. 42, Cambridge, UK: Cambridge University Press, 2001, pp. 1-23.
E. R. Berlekamp, "Block coding for the binary symmetric channel with noiseless, delayless feedback," in Error-Correcting Codes, H. B. Mann, Ed., New York, NY: John Wiley and Sons, Inc., 1968, pp. 61-88.

E. R. Berlekamp, "Sums of N x 2 Amazons," Institute of Mathematics Statistics Lecture Notes - Monograph Series, vol. 35, pp. 1-34, 2000.
E. R. Berlekamp, "Bit-serial Reed-Solomon encoders," IEEE Trans. Information Theory, vol. 28, no. 6, pp. 869-874, Nov. 1982.
E. R. Berlekamp, "Long primitive binary BHC codes have distance d - 2n lnR sup -1/log n," IEEE Trans. Information Theory, vol. IT-18, no. 3, pp. 415-426, May 1972.

E. R. Berlekamp and L. R. Welch, "Digital optical sound system," U.S. Patent 5,271,022. Dec. 1993.
E. R. Berlekamp and L. R. Welch, "Digital optical sound system," U.S. Patent 5,271,021. Dec. 1993.
E. R. Berlekamp, G. Seroussi, and P. Tong, "Hypersystolic Reed-Solomon decoder," U.S. Patent 4,958,348. Sep. 1990.
P. Tong, E. R. Berlekamp, R. J. Currie, and C. K. Rushforth, "Coder-decoder for purged extended Golay (22,7) codes," U.S. Patent 4,926,169. May 1990.
E. R. Berlekamp, "Elongated burst trapping," U.S. Patent 4,916,702. April 1990.
E. R. Berlekamp, "Soft decision Reed-Solomon decoder," U.S. Patent 4,821,268. April 1989.
E. R. Berlekamp, J. A. Bixby, and J. U. Lemke, "Digital time base correction using a reference bit," U.S. Patent 4,803,566. Feb. 1989.
E. R. Berlekamp, "Transparent synchronization of multiple channel data," U.S. Patent 4,731,676. March 1988.
E. R. Berlekamp and P. Tong, "Method and apparatus for synchronization by coherent reinforcement," U.S. Patent 4,633,486. Dec. 1986.
L. R. Welch and E. R. Berlekamp, "Error correction for algebraic block codes," U.S. Patent 4,633,470. Dec. 1986.
E. R. Berlekamp and P. Tong, "Interleavers for digital communications," U.S. Patent 4,559,625. Dec. 1985.
E. R. Berlekamp, "Bit serial encoder," U.S. Patent 4,410,989. Oct. 1983.
E. R. Berlekamp, "Galois field computer," U.S. Patent 4,162,480. July 1979.