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ORCIDOlav Geil
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- affiliation: Aalborg University, Denmark
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2020 – today
- 2022
[j29]Olav Geil
:
From primary to dual affine variety codes over the Klein quartic. Des. Codes Cryptogr. 90(3): 523-543 (2022)- 2021
- [j28]Daniel E. Lucani, Morten Videbæk Pedersen, Diego Ruano, Chres W. Sørensen, Frank H. P. Fitzek, Janus Heide, Olav Geil, Vu Nguyen, Martin Reisslein:
Correction to "Fulcrum: Flexible Network Coding for Heterogeneous Devices". IEEE Access 9: 108199 (2021) - [i25]Olav Geil:
From primary to dual affine variety codes over the Klein quartic. CoRR abs/2107.08955 (2021) - 2020
- [j27]Peter Beelen, Olav Geil, Edgar Martínez-Moro, Xin-Wen Wu:
Foreword - Special Issue: Codes, Cryptology and Curves in honour of Ruud Pellikaan. Des. Codes Cryptogr. 88(8): 1477-1478 (2020) - [j26]René Bødker Christensen, Olav Geil:
Steane-enlargement of quantum codes from the Hermitian function field. Des. Codes Cryptogr. 88(8): 1639-1652 (2020) - [j25]René Bødker Christensen, Olav Geil:
On nested code pairs from the Hermitian curve. Finite Fields Their Appl. 68: 101742 (2020) - [j24]René Bødker Christensen, Olav Geil:
On Steane-enlargement of quantum codes from Cartesian product point sets. Quantum Inf. Process. 19(7): 192 (2020)
2010 – 2019
- 2019
- [j23]Olav Geil, Ferruh Özbudak:
On affine variety codes from the Klein quartic. Cryptogr. Commun. 11(2): 237-257 (2019) - [j22]Olav Geil, Umberto Martínez-Peñas:
Bounding the Number of Common Zeros of Multivariate Polynomials and Their Consecutive Derivatives. Comb. Probab. Comput. 28(2): 253-279 (2019) - [j21]Carlos Galindo, Olav Geil, Fernando Hernando, Diego Ruano:
New Binary and Ternary LCD Codes. IEEE Trans. Inf. Theory 65(2): 1008-1016 (2019) - [c11]Diego Ruano, Daniel E. Lucani, Olav Geil:
Accelerated Processing for Maximum Distance Separable Codes using Composite Extension Fields. EW 2019: 1-5 - [i24]René Bødker Christensen, Olav Geil:
Steane-Enlargement of Quantum Codes from the Hermitian Curve. CoRR abs/1904.10007 (2019) - [i23]René Bødker Christensen, Olav Geil:
On Steane-Enlargement of Quantum Codes from Cartesian Product Point Sets. CoRR abs/1908.04560 (2019) - 2018
- [j20]Daniel E. Lucani, Morten Videbæk Pedersen, Diego Ruano, Chres W. Sørensen, Frank H. P. Fitzek, Janus Heide, Olav Geil, Vu Nguyen, Martin Reisslein:
Fulcrum: Flexible Network Coding for Heterogeneous Devices. IEEE Access 6: 77890-77910 (2018) - [j19]Carlos Galindo, Olav Geil, Fernando Hernando, Diego Ruano:
Improved Constructions of Nested Code Pairs. IEEE Trans. Inf. Theory 64(4): 2444-2459 (2018) - [i22]René Bødker Christensen, Olav Geil:
On nested code pairs from the Hermitian curve. CoRR abs/1807.04042 (2018) - 2017
- [j18]Olav Geil, Stefano Martin:
Relative generalized Hamming weights of q-ary Reed-Muller codes. Adv. Math. Commun. 11(3): 503-531 (2017) - [j17]Olav Geil, Casper Thomsen:
More results on the number of zeros of multiplicity at least r. Discret. Math. 340(5): 1028-1038 (2017) - [j16]Olav Geil, Stefano Martin, Umberto Martínez-Peñas, Ryutaroh Matsumoto, Diego Ruano:
On Asymptotically Good Ramp Secret Sharing Schemes. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 100-A(12): 2699-2708 (2017) - [j15]Ryutaroh Matsumoto, Diego Ruano, Olav Geil:
List decoding algorithm based on voting in Gröbner bases for general one-point AG codes. J. Symb. Comput. 79: 384-410 (2017) - [j14]Carlos Galindo, Olav Geil, Fernando Hernando, Diego Ruano:
On the distance of stabilizer quantum codes from J-affine variety codes. Quantum Inf. Process. 16(4): 111 (2017) - [c10]Olav Geil, Daniel E. Lucani:
Random Network Coding over Composite Fields. ICMCTA 2017: 118-127 - [c9]Olav Geil, Ferruh Özbudak:
Bounding the Minimum Distance of Affine Variety Codes Using Symbolic Computations of Footprints. ICMCTA 2017: 128-138 - [i21]Olav Geil, Ferruh Özbudak:
On affine variety codes from the Klein quartic. CoRR abs/1706.05688 (2017) - [i20]Olav Geil, Umberto Martínez-Peñas:
Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives. CoRR abs/1707.01354 (2017) - [i19]Carlos Galindo, Olav Geil, Fernando Hernando, Diego Ruano:
New binary and ternary LCD codes. CoRR abs/1710.00196 (2017) - 2016
- [i18]Carlos Galindo, Olav Geil, Fernando Hernando, Diego Ruano:
Improved constructions of nested code pairs. CoRR abs/1610.06363 (2016) - [i17]Carlos Galindo, Olav Geil, Fernando Hernando, Diego Ruano:
On the distance of stabilizer quantum codes from J-affine variety codes. CoRR abs/1610.07891 (2016) - 2015
- [j13]Olav Geil, Stefano Martin:
An improvement of the Feng-Rao bound for primary codes. Des. Codes Cryptogr. 76(1): 49-79 (2015) - [j12]Olav Geil:
Roots and coefficients of multivariate polynomials over finite fields. Finite Fields Their Appl. 34: 36-44 (2015) - [i16]Olav Geil, Stefano Martin, Umberto Martínez-Peñas, Ryutaroh Matsumoto, Diego Ruano:
Asymptotically good ramp secret sharing schemes. CoRR abs/1502.05507 (2015) - [i15]Olav Geil, Stefano Martin, Umberto Martínez-Peñas, Diego Ruano:
Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower. CoRR abs/1511.06230 (2015) - 2014
- [j11]Olav Geil:
Erratum to: On the second weight of generalized Reed-Muller codes. Des. Codes Cryptogr. 73(1): 267 (2014) - [j10]Olav Geil, Stefano Martin:
Further improvements on the Feng-Rao bound for dual codes. Finite Fields Their Appl. 30: 33-48 (2014) - [j9]Olav Geil, Stefano Martin, Ryutaroh Matsumoto, Diego Ruano, Yuan Luo:
Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes. IEEE Trans. Inf. Theory 60(10): 5938-5949 (2014) - [c8]Olav Geil, Stefano Martin, Ryutaroh Matsumoto, Diego Ruano, Yuan Luo:
Relative generalized Hamming weights of one-point algebraic geometric codes. ITW 2014: 137-141 - [i14]Olav Geil, Stefano Martin, Ryutaroh Matsumoto, Diego Ruano, Yuan Luo:
Relative generalized Hamming weights of one-point algebraic geometric codes. CoRR abs/1403.7985 (2014) - [i13]Stefano Martin, Olav Geil:
Relative generalized Hamming weights of q-ary Reed-Muller codes. CoRR abs/1407.6185 (2014) - [i12]Olav Geil, Louise Foshammer, Malte Neve-Græsbøll:
Combining subspace codes with classical linear error-correcting codes. CoRR abs/1407.6560 (2014) - 2013
- [j8]Olav Geil, Casper Thomsen:
Weighted Reed-Muller codes revisited. Des. Codes Cryptogr. 66(1-3): 195-220 (2013) - [j7]Olav Geil, Ryutaroh Matsumoto, Diego Ruano:
Feng-Rao decoding of primary codes. Finite Fields Their Appl. 23: 35-52 (2013) - [j6]Ryutaroh Matsumoto, Diego Ruano, Olav Geil:
Generalization of the Lee-O'Sullivan list decoding for one-point AG codes. J. Symb. Comput. 55: 1-9 (2013) - [i11]Olav Geil, Stefano Martin:
Further improvements on the Feng-Rao bound for dual codes. CoRR abs/1305.1091 (2013) - [i10]Olav Geil, Stefano Martin:
An improvement of the Feng-Rao bound for primary codes. CoRR abs/1307.3107 (2013) - 2012
- [c7]Olav Geil, Ryutaroh Matsumoto, Diego Ruano:
List decoding algorithms based on Gröbner bases for general one-point AG codes. ISIT 2012: 86-90 - [c6]Olav Geil, Stefano Martin, Ryutaroh Matsumoto:
A New Method for Constructing Small-Bias Spaces from Hermitian Codes. WAIFI 2012: 29-44 - [i9]Olav Geil, Ryutaroh Matsumoto, Diego Ruano:
List Decoding Algorithms based on Gröbner Bases for General One-Point AG Codes. CoRR abs/1201.6248 (2012) - [i8]Olav Geil, Ryutaroh Matsumoto, Diego Ruano:
List Decoding Algorithm based on Voting in Groebner Bases for General One-Point AG Codes. CoRR abs/1203.6127 (2012) - [i7]Olav Geil, Ryutaroh Matsumoto, Diego Ruano:
Generalization of the Lee-O'Sullivan List Decoding for One-Point AG Codes. CoRR abs/1203.6129 (2012) - [i6]Olav Geil, Ryutaroh Matsumoto, Diego Ruano:
Feng-Rao decoding of primary codes. CoRR abs/1210.6722 (2012) - 2011
- [j5]Olav Geil, Carlos Munuera, Diego Ruano, Fernando Torres:
On the order bounds for one-point AG codes. Adv. Math. Commun. 5(3): 489-504 (2011) - [i5]Olav Geil, Casper Thomsen:
List decoding of a class of affine variety codes. CoRR abs/1101.4999 (2011) - [i4]Olav Geil, Casper Thomsen:
Weighted Reed-Muller codes revisited. CoRR abs/1108.6185 (2011) - 2010
- [i3]Olav Geil, Carlos Munuera, Diego Ruano, Fernando Torres:
On the order bound for one-point AG codes. CoRR abs/1002.4759 (2010)
2000 – 2009
- 2009
- [j4]Olav Geil:
Tracey Ho and Desmond S. Lun: Network Coding: An Introduction. Cambridge University Press (2008). ISBN 9780521873109, 184 pp. Comput. J. 52(4): 510 (2009) - [p1]Olav Geil:
Algebraic Geometry Codes from Order Domains. Gröbner Bases, Coding, and Cryptography 2009: 121-141 - [i2]Stanislav Bulygin, Olav Geil, Diego Ruano:
A Note on the Injection Distance. CoRR abs/0912.1790 (2009) - 2008
- [j3]Olav Geil:
On the second weight of generalized Reed-Muller codes. Des. Codes Cryptogr. 48(3): 323-330 (2008) - [j2]Henning E. Andersen, Olav Geil:
Evaluation codes from order domain theory. Finite Fields Their Appl. 14(1): 92-123 (2008) - [c5]Olav Geil, Ryutaroh Matsumoto, Casper Thomsen:
On Field Size and Success Probability in Network Coding. WAIFI 2008: 157-173 - [i1]Olav Geil, Ryutaroh Matsumoto, Casper Thomsen:
On Field Size and Success Probability in Network Coding. CoRR abs/0806.4510 (2008) - 2007
- [c4]Olav Geil, Ryutaroh Matsumoto:
Generalized Sudan's List Decoding for Order Domain Codes. AAECC 2007: 50-59 - 2006
- [c3]Olav Geil, Christian Thommesen:
On the Feng-Rao Bound for Generalized Hamming Weights. AAECC 2006: 295-306 - 2004
- [c2]Henning E. Andersen, Olav Geil:
The missing evaluation codes from order domain theory. ISIT 2004: 78 - 2001
- [c1]Olav Geil, Tom Høholdt:
On Hyperbolic Codes. AAECC 2001: 159-171 - 2000
- [j1]Olav Geil, Tom Høholdt:
Footprints or generalized Bezout's theorem. IEEE Trans. Inf. Theory 46(2): 635-641 (2000)
Coauthor Index
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