Publications de Felix Ulmer   

        Préprints

1. Linear codes using skew polynomials with automorphisms and derivations  (avec D. Boucher)  (pdf file),
   Prépublication HAL 00597127
    31 Mai 2011

Publications

1. A note on the dual codes of module skew codes  (avec D. Boucher)  (pdf file),
   Proceedings of the13th IMA Conference of Cryptography and Coding, Oxford (2011)
   Lecture Notes in Computer Science, 7089, 230–243 (2011)
2. Key exchange and encryption schemes based on non-commutative skew polynomials  
   (avec Delphine Boucher, Philippe Gaborit, Willi Geiselmann, Olivier Ruatta) 
   Proceedings  PQCrypto, Editor  Nicolas Sendrier
   Lecture Notes in Computer Science, 6061, 126–141 (2010)
3. Codes as modules over skew polynomial rings  (avec D. Boucher) (.pdf file) 
   Proceedings of the 12th IMA conference on Cryptography and Coding, Cirencester
   Lecture Notes in Computer Science, 5921, 38-55 (2009)
4. Skew codes of prescribed distance or rank (pdf file) (avec L. Chausade et P. Loidreau)
   Designs, Codes and Cryptography, 50(3),  267-284 (2009)
5. Coding with skew polynomial rings (pdf file) (avec D. Boucher)
   Journal of Symbolic Computation, 44,  1644-1656  (2009)
6. Some methods to solve linear differential equations in closed form (avec J.A. Weil)  (pdf file),
   Algebraic Theory of Differential Equations, éditeurs: M. MacCallum et A.V. Mikhailov
   London Mathematical Society Lecture Note Series No. 357 (2009)
7. The Lamé family of connections on the projective line  (avec F. Loray et M. van der Put)  (pdf file) 
   Annales de la Faculté des Sciences de Toulouse,  17, 371-409 (2008)
8. Skew Constacyclic Codes over Galois Rings  (avec D. Boucher et P. Solé)
   Advances in Mathematics of Communications, 2,  273-292 (2008)
9. Skew Cyclic Codes (avec D. Boucher et W. Geiselmann) (pdf file) .
   Applied Algebra in Engineering, Communication and Computing, 18, 379-389 (2007)
10.  Note on Algebraic solutions of differential equations with known finite Galois group   (ps file)  (pdf file) 
    Applied Algebra in Engineering, Communication and Computing, 16, 205-218 (2005)
    
11. Liouvillian solutions of third order differential equations (ps file)  (pdf file) 
    Journal of Symbolic Computation, 36, 855-889 (2003)
12. Fourth order linear differential equations with imprimitive group (avec D. Boucher et P. Gaillard). (ps file)  (pdf file) 
    Proceedings ISSAC 2003, Philadelphia, ACM Press, 45-49 (2003)
13. Linear Differential Operators for Polynomial Equations 
    (avec O. Cormier, M.F. Singer et B.M. Trager). (ps file)  (pdf file) 
    Journal of Symbolic Computation, 34, 355-398  (2002)
14. Differential equations and finite groups   (avec M. van der Put) (ps file)  (pdf file),
    Journal of Algebra, 226, 920-966 (2000)
15. Computing the Galois group of a polynomial using linear differential equations  (avec O. Cormier et M.F. Singer) (.ps file) 
    Proceedings ISSAC 2000, St. Andrews, ACM Press, 78-85 (2000)
16. How to Solve Linear Differential Equations: An Outline   (.ps file),.
    Programming and Computer Software, 26, 17-22 (2000)
17. Liouvillian solutions of linear differential equations of order three and higher  
    (avec van Hoeij, Ragot et Weil) (ps file)  (pdf file) 
    Journal of Symbolic Computation, 28, 589-609 (1999)
18. Linear Differential Equations and Products of Linear Forms (avec M.F. Singer) (.ps file)  (pdf file) 
    Journal of Pure and Applied Algebra, 117-118,  549-563 (1997)
19. Constructing a Third Order Linear Differential Equation  (avec W. Geiselman) (.ps file),
    Theoretical  Computer Science, 187,  3-6 (1997)
20. Note on Kovacic's algorithm (avec J.A. Weil)  (ps file) (pdf file)
    Journal of Symbolic Computation, 22,  179-200 (1996)
21. Necessary Conditions for Liouvillian Solutions of (Third Order) Linear Differential Equations
    (avec M.F. Singer) (ps file) (pdf file)
    Applied Algebra in Engineering, Communication and Computing, 6, 1-22 (1995)
22. Irreducible linear differential equations of prime order (ps file)  (pdf file),
    Journal of Symbolic Computation,  18, 385-401 (1994)
23. Galois Groups of Second and Third Order Linear Differential Equations (avec M.F. Singer) (ps file),    (pdf file),
    Journal of Symbolic Computation, 16, 9-36 (1993)
24. Third Order Differential Equation Whose Differential Galois Group is a Simple Group with 168 Elements (avec M.F. Singer) 
    Proceedings AAECC-10, Puerto Rico, May 1993, Lecture Notes in Computer Science,  673, 316-324 (1993)
25. Liouvillian and Algebraic Solutions of Second and Third Order Linear Differential Equations
    (avec M.F. Singer) (ps file),   (pdf file),
    Journal of Symbolic Computation, 16, 37-74 (1993)
26. Liouvillian Solutions of Third Order Linear Differential Equations: New Bounds and Necessary Conditions (avec M.F. Singer) 
    Proceedings of ISSAC 1992, Berkeley, ed. Paul S. Wang, ACM Press, 57-62 (1992)
27. On liouvillian solutions of linear differential equations
    Applied Algebra in Engineering, Communication and Computing, 2, 171-193 (1992)
28. On algebraic solutions of linear differential equations with primitive unimodular Galois group
    Proceedings of AAECC-9, New Orleans 1991, ed. H.F. Mattson, T. Mora,  T.R.N Rao
    Lecture Notes in Computer Science, 539,   446-455 (1991)
29. Liouvillian solutions of homogeneous linear differential equations (avec J. Calmet)
    Proceedings of ISSAC 1990, Tokyo, Ed.  S. Watanabe, N. Nagata, ACM Press,  236-243 (1990)

Autres

1. Fehler korrigierende Codes  (pdf file),
   Computeralgebra Rundbrief GI_DMV_GAMM, April, 32-34 (2008)
   Sonderheft zum Jahr der Mathematik 2008   (http://www.fachgruppe-computeralgebra.de/JdM/)
2. Note on Kovacic's algorithm (avec J.A. Weil),
   ACM SIGSAM Bulletin, Volume 29 ,  Issue 2, 10-11  (April 1995)
   
3. Entwurf von Algorithmen zur Berechnung Liouvillescher Loesungen von linearen gewoehnlichen Differentialgleichungen
   Dissertation, Universitaet Karlsruhe, Fakultaet fuer Informatik , Verlag Dr. Kovac, Hamburg 1991.

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