A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$
نویسندگان
چکیده
منابع مشابه
A normal form for definite quadratic forms over Fq[t]
An efficient algorithm to compute automorphism groups and isometries of definite Fq [t]-lattices for odd q is presented. The algorithm requires several square root computations in Fq2 but no enumeration of orbits having more than eight elements.
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Let R be a principal ideal domain with quotient field F . An R-lattice is a free R-module of finite rank spanning an inner product space over F . The classification problem asks for a reasonably effective set of criteria to determine when two given R-lattices are isometric; that is, when there is an inner-product preserving isomorphism carrying one lattice onto the other. In this paper R is the...
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be a positive definite quadratic form with determinant D R and integer coefficients a ;Call it an even form if all a ; ; are even ., an odd form if at least one a ;; is odd . Then Í,, is called non-decomposable, if it cannot be expressed as a sum of two non-negative quadratic forms with integer coefficients . Mordell 1 ) proved that f, can always be decomposed into a sum of five squares of line...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2012
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-2011-02570-6