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The Continued Fraction Algorithm and Regulator for Quadratic Function Fields of Characteristic 2

โœ Scribed by Robert J. Zuccherato

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
316 KB
Volume
190
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

The continued fraction expansion and infrastructure for quadratic congruence function fields of odd characteristic have been well studied. Recently, these ideas have even been used to produce cryptosystems. Much less is known concerning the continued fraction expansion and infrastructure for quadratic function fields of even characteristic. We will explore these ideas, and show that the situation is very similar to the odd characteristic case. This exploration will result in a method for computing the regulator for quadratic function fields of characteristic 2. แฎŠ 1997

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Patterns of Continued Fractions for the
Patterns of Continued Fractions for the Analogues ofeand Related Numbers in the Function Field Case
โœ Dinesh S Thakur ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 371 KB

Patterns for simple continued fractions of the analogues of (xe 2ร‚f +y)ร‚(ze 2ร‚f +w) in the F q [t] case are described. In contrast to the classical case where they consist of arithmetic progressions, in this case they involve an interesting inductive scheme of block repetition and reversals, especia