Publications. L. Storme

Transcription

1 Publications L. Storme 1 Articles 1. J.W.P. Hirschfeld, L. Storme, J.A. Thas and J.F. Voloch, A characterization of Hermitian curves. J. Geom. 41 (1991), L. Storme and J.A. Thas, Generalized Reed-Solomon codes and normal rational curves: an improvement of results by Seroussi and Roth. Advances in Finite Geometries and Designs (eds. J.W.P. Hirschfeld, D.R. Hughes, J.A. Thas). Oxford: Oxford University Press 1991, L. Storme, Completeness of normal rational curves. J. Algebraic Combinatorics 1 (1992), L. Storme and J.A. Thas, Complete k-arcs in PG(n, q), q even. Discrete Math. 106/107 (1992), L. Storme and T. Szőnyi, Caps in PG(n, q), q even, n 3. Geom. Dedicata 45 (1993), L. Storme and J.A. Thas, M.D.S. codes and arcs in PG(n, q) with q even: An improvement of the bounds of Bruen, Thas and Blokhuis. J. Combin. Theory, Series A 62 No. 1 (1993), L. Storme and T. Szőnyi, Note on a problem of Kaneta concerning arcs in PG(3, q). Atti Sem. Mat. Fis. Univ. Modena XLI (1993), L. Storme and T. Szőnyi, Intersection of arcs and normal rational curves in spaces of odd characteristic. Finite Geometry and Combinatorics (eds. F. De Clerck et al.) Cambridge University Press, London Mathematical Society Lecture Note Series 191 (1993), L. Storme, k-arcs in PG(n, q) and linear M.D.S. codes. Academiae Analecta 55 No. 3 (1993), L. Storme and T. Szőnyi, Intersection of arcs and normal rational curves in spaces of even characteristic. J. Geom. 51 (1994), L. Storme and J.A. Thas, k-arcs and dual k-arcs. Discrete Math. 125 (1994), L. Storme and H. Van Maldeghem, Cyclic arcs in PG(2, q). J. Algebraic Combinatorics 3 (1994),

2 13. A. Cossidente and L. Storme, Caps on elliptic quadrics. Finite Fields Appl. 1 (1995), L. Storme and J.A. Thas, k-arcs and partial flocks. Linear Algebra Appl (1995), L. Storme and H. Van Maldeghem, Primitive arcs in PG(2, q). J. Combin. Theory, Series A 69 No. 2 (1995), L. Storme and H. Van Maldeghem, Cyclic caps in PG(3, q). Geom. Dedicata 56 (1995), L. Storme and H. Van Maldeghem, Arcs fixed by a large cyclic group. Atti Sem. Mat. Fis. Univ. Modena XLIII (1995), C.M. O Keefe and L. Storme, Arcs fixed by A 5 and A 6. J. Geom. 55 (1996), F. Pambianco and L. Storme, Small complete caps in spaces of even characteristic. J. Combin. Theory, Series A 75 (1996), L. Storme, Transitive arcs in planes of even order. Europ. J. Combin. 17 (1996), A. Cossidente, J.W.P. Hirschfeld and L. Storme, Applications of line geometry, III: The quadric Veronesean and the chords of a twisted cubic. Australas. J. Combin. 16 (1997), N.L. Johnson and L. Storme, Spreads corresponding to flocks of quadrics. In Mostly Finite Geometries. Lecture Notes in Pure and Applied Mathematics, Volume 190. Marcel Dekker, Inc. (1997), Special volume Ted-fest: In Honour of T. Ostrom (University of Iowa, Iowa City) (March 21, 1996). 23. G. Korchmáros, L. Storme and T. Szőnyi, Space-filling subsets of a normal rational curve. J. Statist. Planning Infer. 58 (1997), L. Storme, Small arcs in projective spaces. J. Geom. 58 (1997), L. Storme, Normal rational curves over prime fields. Des. Codes Cryptogr. 12 (1997), A. Blokhuis, Christine M. O Keefe, S.E. Payne, L. Storme and H. Wilbrink, Covers of P G(3, q) and of finite generalized quadrangles. Bull. Belgian Math. Soc. 4 (1998), W.E. Cherowitzo and L. Storme, α-flocks with oval herds and monomial hyperovals. Finite Fields Appl. 5 (1998), A. Cossidente and L. Storme, Caps on parabolic and hyperbolic quadrics. Recent Progress in Geometry. Special volume of Rend. Circ. Mat. Palermo (Eds. Ballico- Korchmáros) 51 (1998),

3 29. J.W.P. Hirschfeld and L. Storme, The packing problem in statistics, coding theory and finite projective spaces. Proceedings of the Bose Memorial Conference (Colorado, June 7-11, 1995). J. Statist. Planning Infer. 72 (1998), T. Penttila and L. Storme, Monomial flocks and herds containing a monomial oval. J. Combin. Theory, Ser. A 83 (1998), A. Blokhuis, S. Ball, A. Brouwer, L. Storme and T. Szőnyi, On the number of slopes of the graph of a function defined on a finite field. J. Combin. Theory, Ser. A 86 (1999), A. Blokhuis, L. Storme and T. Szőnyi, Lacunary polynomials, Multiple blocking sets and Baer subplanes. J. London Math. Soc. (2) 60 (1999), A. Cossidente and L. Storme, Cyclic and elementary abelian caps in projective spaces. Proceedings of Combinatorics 96 (Assisi, Italy) (September 9-15, 1996), Discrete Math. 208/209 (1999), K. Metsch and L. Storme, Partial t-spreads in P G(2t + 1, q). Des. Codes Cryptogr. 18 (1999), L. Storme, On the largest caps contained in the Klein quadric of P G(5, q), q odd. J. Combin. Theory, Ser. A 87 (1999), L. Storme, A. De Vos and G. Jacobs, Group theoretical aspects of reversible logic gates. J. Univ. Computer Science 5 (1999), S.G. Barwick, Christine M. O Keefe and L. Storme, Unitals which meet Baer subplanes in 1 modulo q points. J. Geom. 68 (2000), L. Batten, M. Davidson and L. Storme, An analysis of Chen s construction of distance five codes. IEEE Trans. Inform. Theory 46 (2000), R. Hill, I. Landjev, C. Jones, L. Storme and J. Barát, On complete caps in the projective geometries over F 3. Proceedings of the Second Pythagorean Conference, (Samos, Greece, May 30-June 5, 1999), J. Geom. 67 (2000), K. Metsch and L. Storme, 2-Blocking sets in P G(4, q), q square. Contrib. Algebra and Geom. 41 (2000), L. Storme and Zs. Weiner, Minimal blocking sets in P G(n, q), n 3. Des. Codes Cryptogr. 21 (2000), J. Eisfeld, L. Storme, and P. Sziklai, Minimal covers of the Klein quadric. J. Combin. Theory, Ser. A 95 (2001), J. Eisfeld, L. Storme, T. Szőnyi and P. Sziklai, Covers and blocking sets of classical generalized quadrangles. Proceedings of the The Third International Shanghai Conference on Designs, Codes and Finite Geometries (Shanghai, China, May 14-18, 1999). Discr. Math. 238 (2001),

4 44. J.W.P. Hirschfeld and L. Storme, The packing problem in statistics, coding theory and finite projective spaces: update Developments in Mathematics Vol. 3, Kluwer Academic Publishers. Finite Geometries, Proceedings of the Fourth Isle of Thorns Conference (Chelwood Gate, July 16-21, 2000) (Eds. A. Blokhuis, J.W.P. Hirschfeld, D. Jungnickel and J.A. Thas), pp D. Jungnickel and L. Storme, Packing and covering groups with subgroups. J. Algebra 239 (2001), L. Storme and S.K.J. Vereecke, The geometric description of a cyclic arc in P G(q q 3, q). J. Statist. Planning Infer. 95 (2001), L. Storme and P. Sziklai, Linear point sets and Rédei type k-blocking sets in P G(n, q). J. Algebraic Combin. 14 (2001), A. De Vos, B. Raa and L. Storme, Generating the group of reversible logic gates. J. Phys. A: Math. & Gen. 35 (2002), Y. Edel, S. Ferret, I. Landjev and L. Storme, The classification of the largest caps in AG(5, 3). J. Combin. Theory, Ser. A 99 (2002), J. Eisfeld, L. Storme, and P. Sziklai, Minimal (n 1)-covers and partial (n 1)-spreads of the hyperbolic quadric Q + (2n + 1, q). J. Algebraic Combin. 15 (2002), S. Ferret and L. Storme, Minihypers and linear codes meeting the Griesmer bound: Improvements to results of Hamada, Helleseth and Maekawa. Des. Codes Cryptogr. 25 (2002), P. Govaerts and L. Storme, On a particular class of minihypers and its applications. II: Improvements for q square. J. Combin. Theory, Ser. A 97 (2002), P. Govaerts, L. Storme and H. Van Maldeghem, On a particular class of minihypers and its applications. III: Applications. Europ. J. Combin. 23 (2002), K. Metsch and L. Storme, Partial linear complexes in P G(3, q). Proceedings of Combinatorics 98, (Mondello, Italy, June 14-20, 1998), Discrete Math. 255 (2002), O. Polverino and L. Storme, Minimal blocking sets in P G(2, q 3 ). Europ. J. Combinatorics 23 (2002), L. Storme, J.A. Thas and S.K.J. Vereecke, New upper bounds on caps in P G(n, q). J. Geom. 73 (2002), M.R. Brown, J. De Beule and L. Storme, Maximal partial spreads of T 2 (O) and T 3 (O). Europ. J. Combin. 24 (2003), J. De Beule and L. Storme, The smallest minimal blocking sets of Q(6, q), q even. J. Combin. Designs 11 (2003), S. Ferret and L. Storme, Results on maximal partial spreads in P G(3, p 3 ) and on related minihypers. Des. Codes Cryptogr. 29 (2003),

5 60. P. Govaerts and L. Storme, On a particular class of minihypers and its applications. I: The result for general q. Des. Codes Cryptogr. 28 (2003), P. Govaerts, D. Jungnickel, L. Storme, and J.A. Thas, Some new maximal sets of mutually orthogonal Latin squares. Des. Codes Cryptogr. 29 (2003), D. Jungnickel and L. Storme, Maximal partial spreads in P G(3, 4) and maximal sets of mutually orthogonal Latin squares of order 16. Discr. Math. 261 (2003), Special volume in honour of A. Rosa. 63. D. Jungnickel and L. Storme, A note on maximal partial spreads with deficiency q + 1, q even. J. Combin. Theory, Ser. A 102 (2003), K. Shiromoto and L. Storme, A Griesmer bound for codes over finite quasi-frobenius rings. Discr. Applied Math. 128 (2003), J. Barát, A. Del Fra, S. Innamorati and L. Storme, Minimal blocking sets in P G(2, 8) and maximal partial spreads in P G(3, 8). Des. Codes Cryptogr. 31 (2004), J. Barát, Y. Edel, R. Hill and L. Storme, On complete caps in the projective geometries over F 3. II: New improvements. J. Combin. Math. and Combin. Computing 49 (2004), J. Barát and L. Storme, Multiple blocking sets in P G(n, q), n 3. Des. Codes Cryptogr. 33 (2004), J. De Beule, A. Hoogewijs and L. Storme, On the size of minimal blocking sets of Q(4, q), for q = 5, 7. ACM SIGSAM Bulletin 38 (2004), A. De Vos and L. Storme, r-universal reversible logic gates. J. Phys. A: Math. & Gen. 37 (2004), S. Ferret and L. Storme, A classification result on weighted {δ(p 3 +1), δ; 3, p 3 }-minihypers. J. Combin. Des. 12 (2004), S. Ferret and L. Storme, On the size of complete caps in PG(3, 2 h ). Finite Fields Appl. 10 (2004), P. Govaerts and L. Storme, On Cameron-Liebler line classes. Adv. Geom. 4 (2004), L. Storme, Linear codes meeting the Griesmer bound, minihypers, and geometric applications. Le Matematiche LIX (2004), J. De Beule and L. Storme, On the smallest minimal blocking sets of Q(2n, q), for q an odd prime. Discr. Math. 294 (2005), Proceedings of Finite Geometries, First Irsee Conference, Kloster Irsee, Germany (February 16-21, 2003). 75. J. De Beule and L. Storme, The two smallest minimal blocking sets of Q(2n, 3), n 3. Bull. Belg. Math. Soc. 12 (2005), (Proceedings of the International Conference on Incidence Geometry (La Roche-en-Ardenne, Belgium, May 23-29, 2004). 5

6 76. J. Eisfeld, L. Storme and P. Sziklai, On the spectrum for the sizes of maximal partial line spreads in P G(2n, q), n 3. Des. Codes Cryptogr. 36 (2005), Y. Van Rentergem, A. De Vos and L. Storme, Implementing an arbitrary reversible logic gate. J. Phys. A: Math. & Gen. 38 (2005), S. Ball, P. Govaerts and L. Storme, On ovoids of parabolic quadrics. Des. Codes Cryptogr. 38 (2006), J. De Beule and L. Storme, Blocking all generators of Q + (2n + 1, 3), n 4. Des. Codes Cryptogr. 39 (2006), S. Ferret and L. Storme, A classification result on weighted {δv µ+1, δv µ ; N, p 3 }-minihypers. Discr. Appl. Math. 154 (2006), P. Govaerts and L. Storme, The classification of the smallest nontrivial blocking sets of P G(n, 2). J. Combin. Theory, Ser. A 113 (2006), L. Storme, Linear codes meeting the Griesmer bound. Proceedings of the Contact Forum Coding Theory and Cryptography, October 7, 2005, at The Royal Flemish Academy of Belgium for Sciences and Arts, Brussels, Belgium, (2006), P. Biondi, P.M. Lo Re and L. Storme, On minimum size blocking sets of external lines to a quadric in PG(3, q). Contrib. Algebra and Geom. 48 (2007), P. Biondi, P.M. Lo Re and L. Storme, On minimum size blocking sets of external lines to a quadric in P G(d, q). Innov. Incidence Geom. 5 (2007), A. Blokhuis, L. Lovász, L. Storme and T. Szőnyi, On multiple blocking sets in Galois planes. Adv. Geom. 7 (2007), M. Cimráková, S. De Winter, V. Fack and L. Storme, On the smallest maximal partial ovoids and spreads of the generalized quadrangles W (q) and Q(4, q). European J. Combin. 28 (2007), J. De Beule, K. Metsch and L. Storme, Characterization results on small blocking sets of the polar spaces Q + (2n + 1, 2) and Q + (2n + 1, 3). Des. Codes Cryptogr. 44 (2007), Y. Edel, L. Storme and P. Sziklai, New upper bounds on the sizes of caps in P G(N, 5) and P G(N, 7). J. Combin. Math. and Combin. Computing 60 (2007), S. Ferret, L. Storme, P. Sziklai and Zs. Weiner, A t (mod p) result on multiple (n k)- blocking sets in PG(n, q). Innov. Incidence Geom. 6-7 ( ), J.-L. Kim, K.E. Mellinger and L. Storme, Small weight codewords in LDPC codes defined by (dual) classical generalized quadrangles. Des. Codes Cryptogr. 42 (2007), I. Landjev and L. Storme, A weighted version of a result of Hamada on minihypers and on linear codes meeting the Griesmer bound. Des. Codes Cryptogr. 45 (2007),

7 92. F. Mazzocca, O. Polverino and L. Storme, Blocking sets in P G(r, q n ). Des. Codes Cryptogr. 44 (2007), L. Storme, Finite Geometry. Section in the Second Edition of the CRC Handbook of Combinatorial Designs (C.J. Colbourn and J.H. Dinitz, Eds.), (2007), J. De Beule, A. Hallez and L. Storme, A non-existence result on Cameron-Liebler line classes. J. Combin. Des. 16 (2008), J. De Beule, A. Klein, K. Metsch and L. Storme, Partial ovoids and partial spreads in hermitian polar spaces. Des. Codes Cryptogr. 47 (2008), J. De Beule, A. Klein, K. Metsch and L. Storme, Partial ovoids and partial spreads in symplectic and orthogonal polar spaces. European J. Combin. 29 (2008), J. De Beule, A. Klein, K. Metsch and L. Storme, Partial ovoids and partial spreads of classical finite polar spaces. Serdica Math. J. 34 (2008), J. De Beule, K. Metsch and L. Storme, Characterization results on arbitrary weighted minihypers and on linear codes meeting the Griesmer bound. Adv. Math. Commun. 2 (2008), J. De Beule, K. Metsch and L. Storme, Characterization results on arbitrary nonweighted minihypers and on linear codes meeting the Griesmer bound. Des. Codes Cryptogr. 49 (2008), V. Fack, Sz. L. Fancsali, L. Storme, G. Van de Voorde and J. Winne, Small weight codewords in the codes arising from Desarguesian projective planes. Des. Codes Cryptogr. 46 (2008), O. Heden, S. Marcugini, F. Pambianco and L. Storme, On the non-existence of a maximal partial spread of size 76 in P G(3, 9). Ars Combin. 89 (2008), M. Lavrauw, L. Storme and G. Van de Voorde, On the code generated by the incidence matrix of points and hyperplanes in P G(n, q) and its dual. Des. Codes Cryptogr. 48 (2008), M. Lavrauw, L. Storme and G. Van de Voorde, On the code generated by the incidence matrix of points and k-spaces in P G(n, q) and its dual. Finite Fields Appl. 14 (2008), K. Metsch and L. Storme, Maximal partial ovoids and maximal partial spreads in hermitian generalized quadrangles. J. Combin. Des. 16 (2008), K. Metsch and L. Storme, Tangency sets in P G(3, q). J. Combin. Des. 16 (2008), F. Pambianco and L. Storme, Minimal blocking sets in P G(2, 9). Ars Combin. 89 (2008), L. Storme, Weighted {δ(q + 1), δ; k 1, q}-minihypers. Discr. Math. 308 (2008),

8 108. J. De Beule, P. Govaerts, A. Hallez and L. Storme, Tight sets, weighted m-covers, weighted m-ovoids, and minihypers. Des. Codes Cryptogr. 50 (2009), A. Klein, J. Schillewaert and L. Storme, Generalized dual arcs and Veronese surfaces, with applications in cryptography. J. Combin. Theory, Ser. A 116 (2009), M. Lavrauw, L. Storme, P. Sziklai and G. Van de Voorde, An empty interval in the spectrum of small weight codewords in the code from points and k-spaces of P G(n, q). J. Combin. Theory, Ser. A 116 (2009), V. Pepe, L. Storme and G. Van de Voorde, Small weight codewords in the LDPC codes arising from linear representations of geometries. J. Combin. Des. 17 (2009), S. Dodunekov, L. Storme and G. Van de Voorde, Partial covers in P G(n, q). European J. Combin., to appear A. Klein, K. Metsch and L. Storme, Small maximal partial spreads in classical finite polar spaces. Adv. Geom., to appear I. Landjev and L. Storme, A study of (x(q+1)x; 2, q)-minihypers. Des. Codes Cryptogr., to appear V. Pepe, L. Storme and G. Van de Voorde, On codewords in the dual code of classical generalized quadrangles and classical polar spaces. Discr. Math., to appear C. Roessing and L. Storme, A spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q even. European J. Combin., to appear A. De Vos, J. De Beule and L. Storme, Calculating with the square root of NOT. Serdica J. Computing, submitted F.A.B. Edoukou, A. Hallez, F. Rodier, and L. Storme, On the small weight codewords of the functional codes C herm (X), X a non-singular Hermitian variety. Des. Codes Cryptogr., submitted F.A.B. Edoukou, A. Hallez, F. Rodier, and L. Storme, On the small weight codewords of the functional codes C 2 (Q), Q a non-singular quadric. J. Pure Applied Algebra, submitted S. Ferret, L. Storme, P. Sziklai and Zs. Weiner, A characterization of multiple (n k)- blocking sets in projective spaces of square order. Adv. Geom., submitted A. Hallez and L. Storme, Functional codes arising from quadric intersections with Hermitian varieties. Finite Fields Appl., submitted A. Klein, J. Schillewaert and L. Storme, Generalised Veroneseans. Adv. Geom., submitted M. Lavrauw, L. Storme and G. Van de Voorde, A proof of the linearity conjecture for k-blocking sets in P G(n, p 3 ), p prime. J. Combin. Theory, Ser. A, submitted C. Roessing and L. Storme, A spectrum result on minimal blocking sets with respect to the planes of PG(3, q), q odd. Des. Codes Cryptogr., submitted. 8

9 125. J. Schillewaert, L. Storme and J.A. Thas, Minimal codewords in Reed-Muller codes. Des. Codes Cryptogr., submitted. 2 Lecture notes 1. L. Storme, Projective Geometry and Coding Theory. Com 2 MaC Lecture Note Series 9. Combinatorial and Computational Mathematics Center Pohang University of Science and Technology (2003). 3 Editor of proceedings 1. F. De Clerck, L. Storme, J.A. Thas and H. Van Maldeghem, Eds., Proceedings of the Academy Contact Forum Generalized Polygons. Royal Flemish Academy of Belgium for Science and the Arts (October 20, 2000). 2. F. De Clerck, L. Storme, J.A. Thas and H. Van Maldeghem, Eds., Proceedings of the International Conference on Incidence Geometry at Floreal Club (La Roche-en- Ardenne, Belgium) (May 23-29, 2004). Bull. Belg. Math. Soc. 12 (2005), S. Nikova, B. Preneel, L. Storme and J.A. Thas, Eds., Proceedings of the Academy Contact Forum Coding Theory and Cryptography at the Royal Flemish Academy of Belgium for Science and the Arts (October 7, 2005), (2006), 112pp. 4. S. Nikova, B. Preneel, L. Storme and J.A. Thas, Eds., Proceedings of the Academy Contact Forum Coding Theory and Cryptography II at the Royal Flemish Academy of Belgium for Science and the Arts (September 21, 2007), (2008), 112pp. Prof. Dr. L. Storme July 28,