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On the symmetry of good nonlinear codes

McEliece, Robert J. (1970) On the symmetry of good nonlinear codes. IEEE Transactions on Information Theory, 16 (5). pp. 609-611. ISSN 0018-9448.

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It is shown that there are arbitrarily long "good" (in the sense of Gilbert) binary block codes that are preserved under very large permutation groups. This result contrasts sharply with the properties of linear codes: it is conjectured that long cyclic codes are bad, and known that long affine-invariant codes are bad.

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Additional Information:© 1970 IEEE. Reprinted with permission. Manuscript received July 23, 1969; revised November 3, 1969. T his research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, Pasadena, sponsored by the National Aeronautics and Space Administration under Contract NAS 7-100.
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NASA/JPL/CaltechNAS 7-100
Issue or Number:5
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Official Citation:R. McEliece, "On the symmetry of good nonlinear codes," in IEEE Transactions on Information Theory, vol. 16, no. 5, pp. 609-611, September 1970. doi: 10.1109/TIT.1970.1054508
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6936
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Deposited On:03 Jan 2007
Last Modified:02 Oct 2019 23:37

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