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New Linear Codes and Algebraic Function Fields Over Finite Fields

โœ Scribed by Chaoping Xing; Sze Ling Yeo


Book ID
114640937
Publisher
IEEE
Year
2007
Tongue
English
Weight
173 KB
Volume
53
Category
Article
ISSN
0018-9448

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Diophantine Undecidability over Algebrai
โœ Alexandra Shlapentokh ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 825 KB

We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t