Algorithms for quadratic forms over global function fields of odd characteristic
Keyword(s):
This paper presents an adaptation of recently developed algorithms for quadratic forms over number fields in [4] to global function fields of odd characteristics. First, we present algorithm for checking if a given non-degenerate quadratic form is isotropic or hyperbolic. Next we devise a method for computing the dimension of the anisotropic part of a quadratic form. Finally we present algorithms computing two field invariants: the level and the Pythagoras number.
1987 ◽
Vol 30
(1)
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pp. 23-39
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1979 ◽
Vol 11
(4)
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pp. 529-541
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2008 ◽
Vol 21
(4)
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pp. 865-899
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Keyword(s):
2012 ◽
Vol 60
(2)
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pp. 113-122
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