Computations of Cyclotomic Lattices

نویسندگان

  • Christian Batut
  • Heinz Georg Quebbemann
  • Rudolf Scharlau
چکیده

We study even modular lattices of leveì and dimension 2(p ? 1), p prime, which arise from the ideal class group of the p-th cyclotomic extension of Q(p ?`). After giving the basic theory we concentrate on Galois-invariant ideals , obtain computational results on minimal vectors and isometries, and identify several old or new extremal lattices.

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عنوان ژورنال:
  • Experimental Mathematics

دوره 4  شماره 

صفحات  -

تاریخ انتشار 1995