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Extreme quadratic forms of a special type in n variables (n < 28)

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Abstract

One constructs perfect, extreme positive-definite quadratic forms of a special form in n variables for n ≤ 28, whose frames give the simplest packings of the space Rn.

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Literature cited

  1. E. S. Barnes, “The construction of perfect and extreme forms. I, II,” Acta Arith.,5, No. 1, 57–79; No. 2, 205–222 (1959).

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  3. N. J. A. Sloane, “Tables of sphere packings and spherical codes,” IEEE Trans. Inf. Theory,IT-27, No. 3, 327–338 (1981).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 144, pp. 167–172, 1985.

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Khurramov, A. Extreme quadratic forms of a special type in n variables (n < 28). J Math Sci 38, 2157–2160 (1987). https://doi.org/10.1007/BF01474451

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  • DOI: https://doi.org/10.1007/BF01474451

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