𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lattice matrices

✍ Scribed by Yehoshafat Give'on

Book ID
114036465
Publisher
Elsevier Science
Year
1964
Weight
313 KB
Volume
7
Category
Article
ISSN
0019-9958

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πŸ“œ SIMILAR VOLUMES

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Conference matrices are used to define complex structures on real vector spaces. Certain lattices in these spaces become modules for rings of quadratic integers. Multiplication of these lattices by nonprincipal ideals yields simple constructions of further lattices including the Leech lattice.

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A simple algorithm for lattice reduction of polynomial matrices is described and analysed. The algorithm is adapted and applied to various tasks, including rank profile and determinant computation, transformation to Hermite and Popov canonical form, polynomial linear system solving and short vector