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Energy bounds for codes and designs in Hamming spaces

Abstract : We apply linear programming techniques for obtaining lower and upper bounds on the energy of error-correcting codes and for designs in Hamming spaces H(n, q). Our bounds are universal in the sense they hold for a large class of potential functions and allow unified treatment.
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https://hal.inria.fr/hal-01276227
Contributor : Jean-Pierre Tillich <>
Submitted on : Friday, February 19, 2016 - 8:26:21 AM
Last modification on : Friday, September 6, 2019 - 11:14:03 AM
Long-term archiving on: : Saturday, November 12, 2016 - 11:50:14 PM

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Peter Boyvalenkov, Peter Dragnev, Douglas Hardin, Edward B. Saff, Maya Stoyanova. Energy bounds for codes and designs in Hamming spaces. WCC2015 - 9th International Workshop on Coding and Cryptography 2015, Anne Canteaut, Gaëtan Leurent, Maria Naya-Plasencia, Apr 2015, Paris, France. ⟨hal-01276227⟩

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