It is shown that imbeds isometrically into provided that n is a prime power plus one, in the complex case. This and similar imbeddings are constructed using elementary techniques from number theory, combinatorics and coding theory. The imbeddings are related to existence of certain cubature formulas in numerical analysis.
@article{bwmeta1.element.bwnjournal-article-bcpv34i1p79bwm,
author = {K\"onig, Hermann},
title = {Isometric imbeddings of Euclidean spaces into finite dimensional $l\_p$-spaces},
journal = {Banach Center Publications},
volume = {31},
year = {1995},
pages = {79-87},
zbl = {0836.46006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv34i1p79bwm}
}
König, Hermann. Isometric imbeddings of Euclidean spaces into finite dimensional $l_p$-spaces. Banach Center Publications, Tome 31 (1995) pp. 79-87. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv34i1p79bwm/
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