Infrastructure, arithmetic, and class number computations in purely cubic function fields of characteristic at least 5

@inproceedings{Landquist2009InfrastructureAA,
  title={Infrastructure, arithmetic, and class number computations in purely cubic function fields of characteristic at least 5},
  author={Eric Landquist},
  year={2009}
}
One of the more difficult and central problems in computational algebraic number theory is the computation of certain invariants of a field and its maximal order. In this thesis, we consider this problem where the field in question is a purely cubic function field, K/Fq(x), with char(K) ≥ 5. In addition, we will give a divisor-theoretic treatment of the infrastructures ofK, including a description of its arithmetic, and develop arithmetic on the ideals of the maximal order, O, of K… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-10 OF 112 REFERENCES

editors

S. D. Galbraith, M. Harrison, D. Mireles. Efficient hyperelliptic arithmetic using Poorten, A. Stein
  • Proc. of ANTS-VIII, volume 5011 of Lect. Notes Comput. Sci., pages 342–356, Berlin,
  • 2008
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Math

M. Jacobson, Jr., R. Scheidler, A. Stein. Cryptographic protocols on real hyperellipt Adv
  • Commun., 1(2):197–221,
  • 2007
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

volume 3 of Coding Theory and Cryptology

M. Jacobson, Jr., R. Scheidler, A. Stein. Fast arithmetic on hyperelliptic curves via Theory, Cryptology
  • pages 201–244. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ,
  • 2007
VIEW 25 EXCERPTS
HIGHLY INFLUENTIAL