Leo Storme

On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric (2009)

Edoukou, Frédéric, Hallez, Anja, Rodier, François, Storme, Leo

We study the small weight codewords of the functional code C_2(Q), with Q a non-singular quadric of PG(N,q). We prove that the small weight codewords correspond to the intersections of Q with the...

On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric (2009)

Edoukou, Frédéric, Hallez, Anja, Rodier, François, Storme, Leo

We study the small weight codewords of the functional code C_2(Q), with Q a non-singular quadric of PG(N,q). We prove that the small weight codewords correspond to the intersections of Q with the...

On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric (2009)

Edoukou, Frédéric, Hallez, Anja, Rodier, François, Storme, Leo

We study the small weight codewords of the functional code C_2(Q), with Q a non-singular quadric of PG(N,q). We prove that the small weight codewords correspond to the intersections of Q with the...

Generalised dual arcs and Veronesean surfaces, with applications to cryptography (2009)

Klein, Andreas, Schillewaert, Jeroen, Storme, Leo

We start by defining generalised dual arcs, the motivation for defining them comes from cryptography, since they can serve as a tool to construct authentication codes and secret sharing schemes. We...

Tight sets, weighted m-covers, weighted m-ovoids, and minihypers (2009)

De Beule, Jan, Patrick, Govaerts, Hallez, Anja, Storme, Leo

Minihypers are substructures of projective spaces introduced to study linear codes meeting the Griesmer bound. Recently, many results in finite geometry were obtained by applying characterization...

An empty interval in the spectrum of small weight codewords in the code from points and k- spaces of PG(n, q) (2009)

Lavrauw, Michel, Storme, Leo, Sziklai, Peter, Van De Voorde, Geertrui

Small weight codewords in the LDPC codes arising from linear representations of geometries (2009)

Pepe, Valentina, Storme, Leo, Van De Voorde, Geertrui

In this article, we investigate the minimum distance and small weight codewords of the LDPC codes of linear representations, using only geometrical methods. First, we present a new lower hound on the...

On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric (2009)

Edoukou, Frédéric, Hallez, Anja, Rodier, François, Storme, Leo

We study the small weight codewords of the functional code C_2(Q), with Q a non-singular quadric of PG(N,q). We prove that the small weight codewords correspond to the intersections of Q with the...

On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric (2009)

Edoukou, Frédéric, Hallez, Anja, Rodier, François, Storme, Leo

We study the small weight codewords of the functional code C_2(Q), with Q a non-singular quadric of PG(N,q). We prove that the small weight codewords correspond to the intersections of Q with the...

Computing with the square root of NOT (2009)

De Vos, Alexis, De Beule, Jan, Storme, Leo

We add to the two classical reversible 1-bit logic gates, i.e. the identity gate (a.k.a. the follower) and the NOT gate (a.k.a. the inverter), an extra gate, i.e. the square root of NOT. Similarly,...

INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL J. Phys. A: Math. Gen. 35 (2002) 7063–7078 PII: S0305-4470(02)34943-6 Generating the group of reversible logic gates (2008)

Alexis De Vos, Leo Storme

Adv. Geom. 4 (2004), 279–286 Advances in Geometry ( de Gruyter 2004 On Cameron–Liebler line classes (2008)

Patrick Govaerts, Leo Storme, Communicated H. Van Maldeghem

Abstract. Cameron–Liebler line classes are sets of lines in PGð3; qÞ that contain a fixed number

Small weight codewords in the codes arising from Desarguesian projective planes (2008)

Fack, Veerle, FANCSALI, SL, Storme, Leo, Van De Voorde, Geertrui, Winne, Joost

A non-existence result on Cameron-Liebler line classes (2008)

De Beule, Jan, Hallez, Anja, Storme, Leo

Characterization results on arbitrary non-weighted minihypers and on linear codes meeting the Griesmer bound (2008)

De Beule, Jan, METSCH, K, Storme, Leo

On the code generated by the incidence matrix of points and hyperplanes in PG(n,q) and its dual (2008)

Lavrauw, Michel, Storme, Leo, DE VOORDE, GV

Partial ovoids and partial spreads in symplectic and orthogonal polar spaces (2008)

De Beule, Jan, Klein, Andreas, METSCH, K, Storme, Leo

We present improved lower bounds on the sizes of small maximal partial ovoids and small maximal partial spreads in the classical symplectic and orthogonal polar spaces, and improved upper bounds on...

Partial ovoids and partial spreads in Hermitian polar spaces (2008)

BEULE, J., Klein, Andreas, METSCH, K., Storme, Leo

Maximal partial ovoids and maximal partial spreads in hermitian generalized quadrangles (2008)

METSCH, K, Storme, Leo

Weighted {delta(q+1), delta; k-1, q}-minihypers (2008)

Storme, Leo

Partial ovoids and partial spreads in hermitian polar spaces (2008)

De Beule, Jan, Klein, Andreas, METSCH, K, Storme, Leo

Characterization results on weighted minihypers and on linear codes meeting the G(r)iesmer bound (2008)

De Beule, Jan, METSCH, K, Storme, Leo

Coding Theory and Cryptography II (2008)

Nikova, Svetla, Preneel, Bart, Storme, Leo, Thas, Joseph

Partial ovoids and partial spreads in finite classical polar spaces (2008)

De Beule, Jan, Klein, Andreas, Metsch, Klaus, Storme, Leo

We survey the main results on ovoids and spreads, large maximal partial ovoids and large maximal partial spreads, and on small maximal partial ovoids and small maximal partial spreads in classical...

On the code generated by the incidence matrix of points and k-spaces in PG(n, q) and its dual (2008)

Lavrauw, Michel, Storme, Leo, Van De Voorde, Geertrui

In this paper, we study the p-ary linear code C-k (n, q), q = p(h), p prime, h >= 1, generated by the incidence matrix of points and k-dimensional spaces in PG(n, q). For k >= n/2, we link codewords...

Tangency sets in PG(3,q) (2008)

Metsch, Klaus, Storme, Leo

A tangency set of PG(d, q) is a set Q of points with the property that every point P of Q lies on a hyperplane that meets Q only in P. It is known that a tangency set of PG(3, q) has at most q(2) + 1...

On the non-existence of a maximal partial spread of size 76 in PG(3,9) (2008)

Heden, Olof, Marcugini, Stefano, Pambianco, Fernanda, Storme, Leo

We prove the non-existence of maximal partial spreads of size 76 in PG(3,9). Relying on the classification of the minimal blocking sets of size 15 in PG(2, 9) [22], we show that there are only two...

Minimal blocking sets in PG(2,9) (2008)

Pambianco, Fernanda, Storme, Leo

We classify the minimal blocking sets of size 15 in PG(2,9). We show that the only examples are the projective triangle and the sporadic example arising from the secants to the unique complete 6-arc...

A t (mod p) result on multiple (n-k)-blocking sets in PG(n,q) (2008)

Ferret, Sandy, Sziklai, Peter, Storme, Leo, Weiner, Zsuzsa

Characterization results on small blocking sets of the polar spaces Q(+) (2n+1,2) and Q(+) (2n+1,3) (2007)

De Beule, Jan, METSCH, K, Storme, Leo

A weighted version of a result of Hamada on minihypers and on linear codes meeting the Griesmer bound (2007)

LANDJEV, I, Storme, Leo

On multiple blocking sets in Galois planes (2007)

BLOKHUIS, A, LOVASZ, L, Storme, Leo, SZDNYI, T

Small weight codewords in LDPC codes defined by (dual) classical generalized quadrangles (2007)

KIM, JL, MELLINGER, KE, Storme, Leo

Blocking sets in PG(r, q(n)) (2007)

MAZZOCCA, F, POLVERINO, O, Storme, Leo

On the smallest maximal partial ovoids and spreads of the generalized quadrangles W(q) and Q(4, q) (2007)

CIMRAKOVA, M, De Winter, Stefaan, FACKA, V, Storme, Leo

On minimum size blocking sets of external lines to a quadric in PG(3,q). (2007)

BIONDI, P, LO RE, P, Storme, Leo

On minimum size blocking sets of external lines to a quadric in PG(d,q) (2007)

BIONDI, P, LO RE, P, Storme, Leo

New upper bounds on the sizes of caps in PG(N,5) and PG(N,7) (2007)

EDEL, D, Storme, Leo, SZIKLAI, P

Finite Geometry (2007)

Storme, Leo

Small weight codewords in the codes arising from Desarguesian projective spaces (2007)

Van De Voorde, Geertrui, Fack, Veerle, FANCSALI, S, Lavrauw, Michel, Storme, Leo, WINNE, J

On the LDPC codes arising from linear representations of point sets in finite projective spaces (2007)

PEPE, V, Storme, Leo, Van De Voorde, Geertrui

Characterization results on weighted minihypers and on linear codes meeting the Griesmer bound (2007)

Storme, Leo, De Beule, Jan, METSCH, K

Characterization results on arbitrary (non-)weighted minihypers and on linear codes meeting the Griesmer bound (2007)

De Beule, Jan, METSCH, K, Storme, Leo

Small weight codewords in the codes arising from Desarguesian projective planes (2007)

Fack, Veerle, FANCSALI, S, Storme, Leo, Van De Voorde, Geertrui, Winne, Joost

Characterization results on minihypers on quadrics and applications (2007)

Hallez, Anja, De Beule, Jan, Storme, Leo

Generalised dual arcs and Veronesean surfaces, with applications to cryptography (2007)

Klein, Andreas, Schillewaert, Jeroen, Storme, Leo

On the smallest maximal partial ovoids and spreads of the generalized quadrangles W(q) and Q(4,q) (2007)

Cimrakova, Miroslava, De Winter, Stefaan, Fack, Veerle, Storme, Leo

We present results on the size of the smallest maximal partial ovoids and on the size of the smallest maximal partial spreads of the generalized quadrangles W(q) and Q(4, q).

Coding Theory and Cryptography (2006)

NIKOVA, S, PRENEEL, B, Storme, Leo, Thas, Joseph

Blocking all generators of Q(+)(2n+1,3), n >= 4 (2006)

De Beule, Jan, Storme, Leo

The classification of the smallest nontrivial blocking sets in PG(n,2) (2006)

Govaerts, Patrick, Storme, Leo

A classification result on weighted {delta v(mu+1), delta v(mu); N,p(3)}-minihypers (2006)

Ferret, Sandy, Storme, Leo

On ovoids of parabolic quadrics (2006)

BALL, S, Govaerts, Patrick, Storme, Leo

Linear codes meeting the Griesmer bound (2006)

Storme, Leo

Coding theory and finite geometry (2006)

Storme, Leo

Small weight codewords in the codes of Desarguesian planes (2006)

Storme, Leo, Fack, Veerle, Winne, Joost

Small weight codewords in LDPC codes defined by (dual) classical generalized quadrangles (2006)

Storme, Leo

Coding Theory and Cryptography (2006)

Nikova, Svetla; U0032376 ;, Preneel, Bart; U0003308 ;, Storme, Leo

Correlation between the molecular morphology and the biocompatibility of bioadhesive carriers prepared from spray-dried starch/Carbopol((R)) blends (2005)

AMEYE, D, Pringels, Eveline, FOREMAN, P, Remon, Jean Paul, ADRIAENSENS, P, Storme, Leo, ...

Implementing an arbitrary reversible logic gate (2005)

Van Rentergem, Yvan, De Vos, Alexis, Storme, Leo

On the smallest minimal blocking sets of Q(2n, q), for q an odd prime (2005)

De Beule, Jan, Storme, Leo

Weighted {d v_{u+1},d v_u;k-1,q}-minihypers, q a cube prime power (2005)

Storme, Leo, Govaerts, Patrick

Characterizations of a class of weighted minihypers in PG(k-1,q), q=q_0^3, q_0 non-square (2005)

Storme, Leo, Govaerts, Patrick

On the smallest maximal partial ovoids and spreads of the generalized quadrangles W(q) and Q(4,q) (2005)

Storme, Leo, Cimrakova, Miroslava, De Winter, Stefaan, Fack, Veerle

On the spectrum of the sizes of maximal partial line spreads in PG (2n,q),n >= 3 (2005)

EISFELD, J, Storme, Leo, SZIKLAI, P

New classification results for a certain class of weighted minihypers (2005)

De Beule, Jan, Storme, Leo

The two smallest minimal blocking sets of Q(2n, 3), n >= 3 (2005)

De Beule, Jan, Storme, Leo

Solid state NMR study of segmented polymer networks: fine-tuning of phase morphology via their molecular design (2004)

Lequieu, Wouter, VAN DE VELDE, P, Du Prez, Filip, ADRIAENSENS, P, Storme, Leo, GELAN, J

On complete caps in the projective geometries over F_3. II: New improvements (2004)

BARAT, J, EDEL, Y, HILL, R, Storme, Leo

On ovoids of Q(4,q), q prime (2004)

Storme, Leo

Linear codes and finite geometries (2004)

Storme, Leo

Linear codes meeting the Griesmer bound, minihypers, and geometric applications (2004)

Storme, Leo

On the size of minimal blocking sets of Q(4,q), for q=5,7 (2004)

De Beule, Jan, Hoogewijs, Albert, Storme, Leo

r-Universal reversible logic gates (2004)

De Vos, Alexis, Storme, Leo

On Cameron-Liebler line classes (2004)

Govaerts, Patrick, Storme, Leo

Multiple blocking sets in PG(n, q), n >= 3 (2004)

BARAT, J, Storme, Leo

Minimal blocking sets in PG(2,8) and maximal partial spreads in PGd(3,8) (2004)

BARAT, J, DEL FRA, A, INNAMORATI, S, Storme, Leo

A classification result on weighted {delta(p(3)+1) delta;3,p(3)}-minihypers (2004)

Ferret, Sandy, Storme, Leo

On the size of complete caps in PG(3, 2h) (2004)

Ferret, Sandy, Storme, Leo

All non-linear reversible logic gates are r-universal (2004)

De Vos, Alexis, Storme, Leo

Linear codes meeting the Griesmer bound, minihypers and geometric applications (2004)

Storme, Leo

Some new maximal sets of mutually orthogonal Latin squares (2003)

Govaerts, Patrick, JUNGNICKEL, D, Storme, Leo, Thas, Joseph

On a particular class of minihypers and its applications. I. The result for general q (2003)

Govaerts, Patrick, Storme, Leo

The smallest minimal blocking sets of Q(6, q), q even (2003)

De Beule, Jan, Storme, Leo

Maximal partial spreads of T-2(O) and T-3(O) (2003)

BROWN, MR, De Beule, Jan, Storme, Leo

Maximal partial spreads in PG(3,4) and maximal sets of mutually orthogonal latin squares of order 16 (2003)

JUNGNICKEL, D, Storme, Leo

A note on maximal partial spreads with deficiency q+1, q even (2003)

JUNGNICKEL, D, Storme, Leo

A Griesmer bound for linear codes over finite quasi-Frobenius rings (2003)

SHIROMOTO, K, Storme, Leo

Results on maximal partial spreads in PG(3,p(3)) and on related minihypers (2003)

Ferret, Sandy, Storme, Leo

Crosslinked polyurethane-based gels (2003)

PHUNG, H, Schacht, Etienne, Du Prez, Filip, GELAN, J, ADRIAESENS, P, Storme, Leo

Projective Geometry and Coding Theory (2003)

Storme, Leo

Classification of t-fold (n-k)-blocking sets in PG(n,q) (2003)

Storme, Leo

Results on linear codes meeting the Griesmer bound from results on t-fold (N-K)-blocking sets in PG(N,q) (2003)

Ferret, Sandy, Storme, Leo, SZIKLAI, P, WEINER, Z

Linear codes meeting the Griesmer bound, and minihypers and blocking sets in finite projective spaces (2003)

Storme, Leo

On the spectrum for the sizes of maximal partial line spreads in PG(2n,q) (2003)

Storme, Leo

Blocking sets in projective spaces (2003)

Storme, Leo

Comparative morphological study of poly(dioxolane)/poly(methyl methacrylate) segmented networks and blends by C-13 solid-state NMR and thermal analysis. (2002)

ADRIAENSENS, P, Storme, Leo, CARLEER, R, GELAN, J, Du Prez, Filip

Generating the group of reversible logic gates. (2002)

De Vos, Alexis, Raa, Birger, Storme, Leo

Minimal covers of Q(+)(2n+1, q) by (n-1)-dimensional subspaces. (2002)

EISFELD, J, Storme, Leo, SZIKLAI, P

Partial linear complexes of PG(3, q). (2002)

METSCH, K, Storme, Leo

Small minimal blocking sets in PG(2, q(3)). (2002)

POLVERINO, O, Storme, Leo

New upper bounds on caps in PG(n,q). (2002)

Storme, Leo, Thas, Joseph, VEREECKE, SKJ

New upper bounds for the sizes of caps in projective spaces. (2002)

Storme, Leo, Thas, Joseph, VEREECKE, SKJ

On a particular class of minihypers and its applications. III. Applications (2002)

Govaerts, Patrick, Storme, Leo, Van Maldeghem, Hendrik

On a particular class of minihypers and its applications II. Improvements for q square (2002)

Govaerts, Patrick, Storme, Leo

Covers and blocking sets of classical generalized quadrangles. (2001)

EISFELD, J, Storme, Leo, SZONYI, T, SZIKLAI, P

Linear point sets and Redei type k-blocking sets in PG(n, q). (2001)

Storme, Leo, SZIKLAI, P

The geometric description of a cyclic (q-root q+1)-arc in PG(q-root q-3, q), q square. (2001)

Storme, Leo, VEREECKE, SKJ

Packing and covering groups with subgroups. (2001)

JUNGNICKEL, D, Storme, Leo

Minimal covers of the Klein quadric. (2001)

EISFELD, J, Storme, Leo, SZIKLAI, P

The packing problem in statistics, coding theory and finite projective spaces: Update 2001 (2001)

HIRSCHFELD, JWP, Storme, Leo

Unitals which meet Baer subplanes in 1 modulo q points. (2000)

BARWICK, SG, O'KEEFE, CM, Storme, Leo

On complete caps in the projective geometries over F3. (2000)

HILL, R, LANDJEV, I, JONES, C, Storme, Leo, BARAT, J

2-Blocking sets in PG(4, q), q square. (2000)

METSCH, K, Storme, Leo

On 1-blocking sets in PG(n, q), n >= 3. (2000)

Storme, Leo, WEINER, Z

An analysis of Chen's construction of minimum-distance five codes. (2000)

BATTEN, LM, DAVIDSON, M, Storme, Leo

On the number of slopes of the graph of a function defined on a finite field. (1999)

BLOKHUIS, A, BROUWER, AE, Storme, Leo, SZONYI, T

Cyclic and elementary abelian caps in projective spaces. (1999)

COSSIDENTE, A, Storme, Leo

Partial t-spreads in PG(2t+1, q). (1999)

METSCH, K, Storme, Leo

On the largest caps contained in the Klein quadric of PG(5, q), q odd. (1999)

Storme, Leo

Group theoretical aspects of reversible logic gates. (1999)

Storme, Leo, De Vos, Alexis, JACOBS, G

Lacunary polynomials, multiple blocking sets and Baer subplanes. (1999)

BLOKHUIS, A, Storme, Leo, SZONYI, T

Early compared with delayed inhaled nitric oxide in moderately hypoxaemic neonates with respiratory failure: a randomised controlled trial (1999)

MERCIER, JC, THEBAUD, B, ONODY, P, Storme, Leo, VAN OVERMEIRE, B, BREART, G, ...

Covers of {${\rm PG}(3,q)$} and of finite generalized quadrangles (1998)

Blokhuis, Aart, O'Keefe, Christine M., Payne, Stanley E., Storme, Leo, Wilbrink, Henny

The packing problem in statistics, coding theory and finite projective spaces. (1998)

HIRSCHFELD, J, Storme, Leo

Covers of PG(3,q) and of finite generalized quadrangles. (1998)

BLOKHUIS, A, O'KEEFE, CM, PAYNE, SE, Storme, Leo, WILBRINK, H

Monomial flocks and herds containing a monomial oval. (1998)

PENTTILA, T, Storme, Leo

Space-filling subsets of a normal rational curve. (1997)

KORCHMAROS, G, Storme, Leo, SZONYI, T

Small arcs in projective spaces (1997)

Storme, Leo

Normal rational curves over prime fields (1997)

Storme, Leo

Applications of line geometry, III: The quadric Veronesean and the chords of a twisted cubic (1997)

Storme, Leo, COSSIDENTE, A, HIRSCHFELD, JWP

Spreads corresponding to flocks of quadrics (1997)

Storme, Leo, JOHNSON, NL

Spreads corresponding to flocks of quadrics (1997)

JOHNSON, NL, Storme, Leo

Small complete caps in spaces of even characteristic. (1996)

PAMBIANCO, F, Storme, Leo

Transitive arcs in planes of even order. (1996)

Storme, Leo

Arcs fixed by A5 and A6 (1996)

O'KEEFE, CM, Storme, Leo

PRIMITIVE ARCS IN PG(2,Q). (1995)

Storme, Leo, Van Maldeghem, Hendrik

CYCLIC CAPS IN PG(3,Q). (1995)

Storme, Leo, Van Maldeghem, Hendrik

KAPPA-ARCS AND PARTIAL FLOCKS. (1995)

Storme, Leo, Thas, Joseph

Caps on elliptic quadrics (1995)

COSSIDENTE, A, Storme, Leo

A>arcs and partial flocks (1995)

Storme, Leo, Thas, Joseph

Arcs fixed by a large cyclic group (1995)

Storme, Leo, Van Maldeghem, Hendrik

CYCLIC ARCS IN PG(2, Q). (1994)

Storme, Leo, Van Maldeghem, Hendrik

K-ARCS AND DUAL K-ARCS. (1994)

Storme, Leo, Thas, Joseph

Intersection of arcs and normal rational curves in spaces of even characteristics (1994)

Storme, Leo, SZONYI, T

MDS CODES AND ARCS IN PG(N,Q) WITH Q EVEN - AN IMPROVEMENT OF THE BOUNDS OF BRUEN, THAS, AND BLOKHUIS. (1993)

Storme, Leo, Thas, Joseph

CAPS IN PG(N, Q), Q EVEN N GREATER-THAN-OR-EQUAL-TO 3. (1993)

Storme, Leo, SZONYI, T

Intersection of arcs and normal rational curves in spaces of odd characte ristic (1993)

Storme, Leo, SZONYI, JA

Note on a problem of Kaneta concerning arcs in PG(3,q) (1993)

Storme, Leo, SZONYI, JA

M.D.S. codes and arcs in PG(n,q) with q even : an improvement of the Bounds of Bruen, Thas, and Blokhuis (1993)

Storme, Leo, Thas, Joseph

COMPLETE K-ARCS IN PG(N, Q), Q EVEN. (1992)

Storme, Leo, Thas, Joseph

Completeness of normal rational curves (1992)

Storme, Leo

A characterization of hermitian curves (1991)

Thas, Joseph, HIRSCHFELD, J, Storme, Leo, VOLOCH, J

a-flocks with oval herds and monomial hyperovals. Finite Fields and Their Applications, 4, 1998, 185-199.

CHEROWITZO, W, Storme, Leo

Caps on parabolic and hyperbolic quadrics. Recent Progress in Geometry. Speciale uitgave van Rendiconti del Circolo Matematico di Palermo, 51, 1998, 57-69.

COSSIDENTE, A, Storme, Leo

Incidence Geometry

De Clerck, Frank, Storme, Leo, Thas, Joseph, Van Maldeghem, Hendrik