Olav Geil

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All published works

Action	Title	Year	Authors
+ PDF Chat	Democratic Ramp Secret Sharing	2024	Olav Geil
+ PDF Chat	From primary to dual affine variety codes over the Klein quartic	2022	Olav Geil
+	From primary to dual affine variety codes over the Klein quartic	2021	Olav Geil
+	On nested code pairs from the Hermitian curve	2020	René Bødker Christensen Olav Geil
+ PDF Chat	On multivariate polynomials with many roots over a finite grid	2020	Olav Geil
+ PDF Chat	On Steane-enlargement of quantum codes from Cartesian product point sets	2020	René Bødker Christensen Olav Geil
+ PDF Chat	Steane-enlargement of quantum codes from the Hermitian function field	2020	René Bødker Christensen Olav Geil
+	On multivariate polynomials with many roots over a finite grid	2019	Olav Geil
+	On multivariate polynomials with many roots over a finite grid	2019	Olav Geil
+ PDF Chat	Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve	2018	Olav Geil Ferruh Özbudak Diego Ruano
+ PDF Chat	Bounding the Number of Common Zeros of Multivariate Polynomials and Their Consecutive Derivatives	2018	Olav Geil Umberto Martínez-Peñas
+ PDF Chat	New Binary and Ternary LCD Codes	2018	Carlos Galindo Olav Geil Fernando Hernando Diego Ruano
+ PDF Chat	On affine variety codes from the Klein quartic	2018	Olav Geil Ferruh Özbudak
+ PDF Chat	Improved Constructions of Nested Code Pairs	2017	Carlos Galindo Olav Geil Fernando Hernando Diego Ruano
+	Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives	2017	Olav Geil Umberto Martínez-Peñas
+	On affine variety codes from the Klein quartic	2017	Olav Geil Ferruh Özbudak
+ PDF Chat	On the distance of stabilizer quantum codes from J-affine variety codes	2017	Carlos Galindo Olav Geil Fernando Hernando Diego Ruano
+	More results on the number of zeros of multiplicity at least <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml48" display="inline" overflow="scroll" altimg="si27.gif"><mml:mi>r</mml:mi></mml:math>	2017	Olav Geil Casper Thomsen
+ PDF Chat	On Asymptotically Good Ramp Secret Sharing Schemes	2017	Olav Geil Stefano Martin Umberto Martínez-Peñas Ryutaroh Matsumoto Diego Ruano
+ PDF Chat	Relative generalized Hamming weights of <i>q</i>-ary Reed-Muller codes	2017	Olav Geil Stefano Martin
+	On affine variety codes from the Klein quartic	2017	Olav Geil Ferruh Özbudak
+	Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives	2017	Olav Geil Umberto Martínez-Peñas
+ PDF Chat	Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth’s second tower	2016	Olav Geil Stefano Martin Umberto Martínez-Peñas Diego Ruano
+	On the distance of stabilizer quantum codes given by $J$-affine variety codes	2016	Carlos Galindo Olav Geil Fernando Hernando Diego Ruano
+	List decoding algorithm based on voting in Gröbner bases for general one-point AG codes	2016	Ryutaroh Matsumoto Diego Ruano Olav Geil
+	Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower	2015	Olav Geil Stefano Martin Umberto Martínez-Peñas Diego Ruano
+	Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower	2015	Olav Geil Stefano Martin Umberto Martínez-Peñas Diego Ruano
+ PDF Chat	Relative generalized Hamming weights of one-point algebraic geometric codes	2014	Olav Geil Stefano Martin Ryutaroh Matsumoto Diego Ruano Yuan Luo
+	More results on the number of zeros of multiplicity r	2014	Olav Geil Casper Thomsen
+	More results on the number of zeros of multiplicity at least r	2014	Olav Geil Casper Thomsen
+ PDF Chat	Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes	2014	Olav Geil Stefano Martin Ryutaroh Matsumoto Diego Ruano Yuan Luo
+	Relative generalized Hamming weights of q-ary Reed-Muller codes	2014	Olav Geil Stefano Martin
+	Further improvements on the Feng–Rao bound for dual codes	2014	Olav Geil Stefano Martin
+ PDF Chat	An improvement of the Feng–Rao bound for primary codes	2014	Olav Geil Stefano Martin
+	Combining subspace codes with classical linear error-correcting codes	2014	Olav Geil Louise Foshammer Malte Neve-Græsbøll
+	Roots and coefficients of multivariate polynomials over finite field	2014	Olav Geil
+	More results on the number of zeros of multiplicity at least r	2014	Olav Geil Casper Thomsen
+	Relative generalized Hamming weights of q-ary Reed-Muller codes	2014	Olav Geil Stefano Martin
+	Fulcrum Network Codes: A Code for Fluid Allocation of Complexity	2014	Daniel E. Lucani Morten V. Pedersen Diego Ruano Chres W. Sørensen Frank H. P. Fitzek Janus Heide Olav Geil
+	An improvement of the Feng-Rao bound for primary codes	2013	Olav Geil Stefano Martin
+	Further improvements on the Feng-Rao bound for dual codes	2013	Olav Geil Stefano Martin
+	Feng–Rao decoding of primary codes	2013	Olav Geil Ryutaroh Matsumoto Diego Ruano
+	Generalization of the Lee–OʼSullivan list decoding for one-point AG codes	2013	Ryutaroh Matsumoto Diego Ruano Olav Geil
+	An improvement of the Feng-Rao bound for primary codes	2013	Olav Geil Stefano Martin
+	Further improvements on the Feng-Rao bound for dual codes	2013	Olav Geil Stefano Martin
+ PDF Chat	List decoding algorithms based on Gr&#x00F6;bner bases for general one-point AG codes	2012	Olav Geil Ryutaroh Matsumoto Diego Ruano
+ PDF Chat	Weighted Reed–Muller codes revisited	2012	Olav Geil Casper Thomsen
+ PDF Chat	A New Method for Constructing Small-Bias Spaces from Hermitian Codes	2012	Olav Geil Stefano Martin Ryutaroh Matsumoto
+	Weighted Reed-Muller codes revisited	2011	Olav Geil Casper Thomsen
+ PDF Chat	On the order bounds for one-point AG codes	2011	Fernando Torres Diego Ruano Carlos Munuera Olav Geil
+	List decoding of a class of affine variety codes	2011	Olav Geil Casper Thomsen
+	List decoding of a class of affine variety codes	2011	Olav Geil Casper Thomsen
+	Weighted Reed-Muller codes revisited	2011	Olav Geil Casper Thomsen
+	On the order bounds for one-point AG codes	2010	Olav Geil Carlos Munuera Diego Ruano Fernando Torres
+	On the order bounds for one-point AG codes	2010	Olav Geil Carlos Munuera Diego Ruano Fernando Torres
+	On the number of zeros of multiplicity r	2009	Olav Geil Casper Thomsen
+	Algebraic Geometry Codes from Order Domains	2009	Olav Geil
+	A Note on the Injection Distance	2009	Stanislav Bulygin Olav Geil Diego Ruano
+	On the number of zeros of multiplicity r	2009	Olav Geil Casper Thomsen
+ PDF Chat	Bounding the number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si10.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:math>-rational places in algebraic function fields using Weierstrass semigroups	2008	Olav Geil Ryutaroh Matsumoto
+ PDF Chat	On Field Size and Success Probability in Network Coding	2008	Olav Geil Ryutaroh Matsumoto Casper Thomsen
+ PDF Chat	On the Feng-Rao Bound for Generalized Hamming Weights	2006	Olav Geil C. Thommesen
+	Two applications of the footprint (or Δ-set) bound: Estimation of generalized Hamming weights	2006	Olav Geil
+	On some Gröbner basis theoretical applications	2004	Olav Geil
+	On codes from norm–trace curves	2003	Olav Geil
+	On the Structure of Order Domains	2002	Olav Geil Ruud Pellikaan

Common Coauthors

Coauthor	Papers Together
Diego Ruano	20
Stefano Martin	16
Casper Thomsen	12
Ryutaroh Matsumoto	10
Umberto Martínez-Peñas	7
Fernando Hernando	4
Ferruh Özbudak	4
Carlos Munuera	3
René Bødker Christensen	3
Fernando Torres	3
Carlos Galindo	3
Yuan Luo	2
Frank H. P. Fitzek	1
Ruud Pellikaan	1
Stanislav Bulygin	1
Carlos Galindo	1
Louise Foshammer	1
C. Thommesen	1
Daniel E. Lucani	1
Morten V. Pedersen	1
Janus Heide	1
Chres W. Sørensen	1
Malte Neve-Græsbøll	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Structure of Order Domains	2002	Olav Geil Ruud Pellikaan	12
+	Feng–Rao decoding of primary codes	2013	Olav Geil Ryutaroh Matsumoto Diego Ruano	10
+ PDF Chat	Coset bounds for algebraic geometric codes	2010	Iwan Duursma Seungkook Park	9
+ PDF Chat	On the order bounds for one-point AG codes	2011	Fernando Torres Diego Ruano Carlos Munuera Olav Geil	8
+ PDF Chat	Weighted Reed–Muller codes revisited	2012	Olav Geil Casper Thomsen	8
+	On the Feng-Rao Bound for the L -construction of Algebraic Geometry Codes	2000	Ryutaroh Matsumoto Shinji Miura	8
+ PDF Chat	Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes	2014	Olav Geil Stefano Martin Ryutaroh Matsumoto Diego Ruano Yuan Luo	8
+	On codes from norm–trace curves	2003	Olav Geil	8
+	On the true minimum distance of Hermitian codes	1992	Kyeongcheol Yang P. Vijay Kumar	7
+	Probabilistic algorithms for sparse polynomials	1979	Richard Zippel	7
+ PDF Chat	On the Feng-Rao Bound for Generalized Hamming Weights	2006	Olav Geil C. Thommesen	6
+	Algebraic geometric codes on certain plane curves	1993	Shinji Miura	6
+ PDF Chat	Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers	2009	Zeev Dvir Swastik Kopparty Shubhangi Saraf Madhu Sudan	6
+ PDF Chat	On the structure of generalized toric codes	2008	Diego Ruano	6
+	New Codes for the Berlekamp–Massey–Sakata Algorithm	2001	Michael E. O’Sullivan	5
+ PDF Chat	An improvement of the Feng–Rao bound for primary codes	2014	Olav Geil Stefano Martin	5
+ PDF Chat	On the existence of order functions	2001	Ruud Pellikaan	5
+ PDF Chat	Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement	2015	Carlos Galindo Fernando Hernando Diego Ruano	5
+	The relative generalized Hamming weight of linear q-ary codes and their subcodes	2008	Zihui Liu Wende Chen Yuan Luo	5
+ PDF Chat	Improved Constructions of Nested Code Pairs	2017	Carlos Galindo Olav Geil Fernando Hernando Diego Ruano	4
+ PDF Chat	On the parameters of r-dimensional toric codes	2007	Diego Ruano	4
+	Further improvements on the Feng–Rao bound for dual codes	2014	Olav Geil Stefano Martin	4
+ PDF Chat	Enlargement of Calderbank-Shor-Steane quantum codes	1999	Andrew Steane	4
+ PDF Chat	Nonbinary Stabilizer Codes Over Finite Fields	2006	Avanti Ulhas Ketkar Andreas Klappenecker Santhosh Kumar Pradeep Kiran Sarvepalli	4
+ PDF Chat	Good quantum error-correcting codes exist	1996	A.R. Calderbank Peter W. Shor	4
+	On construction and generalization of algebraic geometry codes	2000	Ryutaroh Matsumoto Shinji Miura	4
+ PDF Chat	Asymmetric quantum error-correcting codes	2007	L. B. Ioffe Marc Mézard	4
+	On the Asymptotic Behaviour of Some Towers of Function Fields over Finite Fields	1996	Arnaldo Garcia Henning Stichtenoth	4
+ PDF Chat	Distance bounds for algebraic geometric codes	2010	Iwan Duursma Radoslav Kirov Seungkook Park	3
+	New quantum codes from evaluation and matrix-product codes	2015	Carlos Galindo Fernando Hernando Diego Ruano	3
+ PDF Chat	Concatenated Quantum Codes Constructible in Polynomial Time: Efficient Decoding and Error Correction	2008	Mitsuru Hamada	3
+ PDF Chat	An Extension of the Order Bound for AG Codes	2009	Iwan Duursma Radoslav Kirov	3
+ PDF Chat	Combinatorial Nullstellensatz	1999	Noga Alon	3
+ PDF Chat	Two Gilbert–Varshamov-type existential bounds for asymmetric quantum error-correcting codes	2017	Ryutaroh Matsumoto	3
+	List Decoding of Hermitian Codes using Groebner Bases	2006	Kwankyu Lee Michael E. O’Sullivan	3
+ PDF Chat	Quantum codes from affine variety codes and their subfield-subcodes	2014	Carlos Galindo Fernando Hernando	3
+ PDF Chat	List decoding algorithms based on Gr&#x00F6;bner bases for general one-point AG codes	2012	Olav Geil Ryutaroh Matsumoto Diego Ruano	3
+	The second and third generalized Hamming weights of Hermitian codes	1999	Carlos Munuera Donald E. Ramirez	3
+	An improvement of the Feng-Rao bound for primary codes	2013	Olav Geil Stefano Martin	3
+ PDF Chat	Xing–Ling codes, duals of their subcodes, and good asymmetric quantum codes	2013	Martianus Frederic Ezerman Somphong Jitman Patrick Solé	3
+	Codes on the Klein quartic, ideals, and decoding (Corresp.)	1987	Johan P. Hansen	3
+	A Gröbner basis criterion for birational equivalence of affine varieties	1998	Li-Zhong Tang	3
+ PDF Chat	On Asymptotically Good Ramp Secret Sharing Schemes	2017	Olav Geil Stefano Martin Umberto Martínez-Peñas Ryutaroh Matsumoto Diego Ruano	3
+ PDF Chat	Simple quantum error-correcting codes	1996	Andrew Steane	3
+	Miura's Generalization of One-Point AG Codes is Equivalent to Høholdt, van Lint and Pellikaan's Generalization	1999	Ryutaroh Matsumoto	3
+	Remarks on codes from Hermitian curves (Corresp.)	1987	H.J. Tiersma	3
+ PDF Chat	Unique Decoding of Plane AG Codes via Interpolation	2012	Kwankyu Lee Maria Bras-Amorós Michael E. O’Sullivan	3
+	Weierstrass Semigroups in an Asymptotically Good Tower of Function Fields	1998	Ruud Pellikaan Henning Stichtenoth Fernando Torres	3
+	MDS codes on the erasure-erasure wiretap channel	2009	Arunkumar Subramanian Stephen McLaughlin	3
+	Advances in Algebraic Geometry Codes	2008		3