• Skjernvej 4, A, 1-210

    9220 Aalborg Ø

    Denmark

  • Niels Jernes Vej 10, B-026

    9220 Aalborg Ø

    Denmark

19992020

Research output per year

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Research Output

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Journal article

On nested code pairs from the Hermitian curve

Christensen, R. B. & Geil, O., 2020, In : Finite Fields and Their Applications. 68, 26 p., 101742.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access

On Steane-enlargement of quantum codes from Cartesian product point sets

Christensen, R. B. & Geil, O., 22 May 2020, In : Quantum Information Processing. 19, 7, 15 p., 192.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access

Steane-enlargement of quantum codes from the Hermitian function field

Christensen, R. B. & Geil, O., 11 Feb 2020, In : Designs, Codes and Cryptography. 88, 8, p. 1639-1652 14 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
1 Citation (Scopus)
2019

Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives

Geil, H. O. & Martinez Peñas, U., 1 Mar 2019, In : Combinatorics, Probability & Computing. 28, 2, p. 253-279 27 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve

Geil, H. O., Ozbudak, F. & Ruano Benito, D., 2019, In : Semigroup Forum. 98, p. 543-555 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
9 Downloads (Pure)

New binary and ternary LCD codes

Galindo, C., Geil, H. O., Hernando, F. & Ruano Benito, D., 1 Feb 2019, In : I E E E Transactions on Information Theory. 65, 2, p. 1008-1016 9 p., 8356685.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
7 Citations (Scopus)
94 Downloads (Pure)

On affine variety codes from the Klein quartic

Geil, H. O. & Ozbudak, F., 15 Mar 2019, In : Cryptography and Communications. 11, 2, p. 237-257 21 p.

Research output: Contribution to journalJournal articleResearchpeer-review

1 Citation (Scopus)
2018

Fulcrum: Flexible Network Coding for Heterogeneous Devices

Lucani, D. E., Pedersen, M. V., Ruano Benito, D., Sørensen, C. W., Fitzek, F. H. P., Heide, J., Geil, H. O., Nguyen, V. & Reisslein, M., Nov 2018, In : IEEE Access. 6, p. 77890-77910 18 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
8 Citations (Scopus)
178 Downloads (Pure)

Improved constructions of nested code pairs

Galindo, C., Geil, H. O., Hernando, F. & Ruano Benito, D., 1 Apr 2018, In : I E E E Transactions on Information Theory. 64, 4, p. 2444-2459 16 p.

Research output: Contribution to journalJournal articleResearchpeer-review

6 Citations (Scopus)
2017

List decoding algorithm based on voting in Gröbner bases for general one-point AG codes

Matsumoto, R., Ruano Benito, D. & Geil, H. O., 2017, In : Journal of Symbolic Computation. 79, Part 2, p. 384-410 27 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access

More results on the number of zeros of multiplicity at least r

Geil, H. O. & Thomsen, C., May 2017, In : Discrete Mathematics. 340, 5, p. 1028-1038 11 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2 Citations (Scopus)

On asymptotically good ramp secret sharing schemes

Geil, H. O., Martin, S., Martinez Peñas, U., Matsumoto, R. Y. & Ruano Benito, D., 2017, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E100-A, 12, p. 2699-2708 10 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2 Citations (Scopus)

On the distance of stabilizer quantum codes from J-affine variety codes

Galindo, C., Geil, H. O., Hernando, F. & Ruano Benito, D., 2017, In : Quantum Information Processing. 16, 4, 32 p., 111.

Research output: Contribution to journalJournal articleResearchpeer-review

8 Citations (Scopus)

Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower

Geil, H. O., Martin, S., Martinez Peñas, U. & Ruano Benito, D., 2017, In : Journal of Algebra Combinatorics Discrete Structures and Applications. 4, 1, p. 37-47 11 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
133 Downloads (Pure)

Relative Generalized Hamming Weights of q-ary Reed-Muller Codes

Geil, H. O. & Martin, S., 2017, In : Advances in Mathematics of Communication. 11, 3, p. 503-531 29 p.

Research output: Contribution to journalJournal articleResearchpeer-review

6 Citations (Scopus)
2015

An improvement of the Feng-Rao bound for primary codes

Geil, H. O. & Martin, S., 2015, In : Designs, Codes and Cryptography. 76, 1, p. 49-79 31 p.

Research output: Contribution to journalJournal articleResearchpeer-review

4 Citations (Scopus)

Roots and coefficients of multivariate polynomials over finite fields

Geil, H. O., Jul 2015, In : Finite Fields and Their Applications. 34, p. 36-44 9 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2014

Further improvements on the Feng-Rao bound for dual codes

Geil, H. O. & Martin, S., Nov 2014, In : Finite Fields and Their Applications. 30, p. 33-48 16 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2 Citations (Scopus)

Relative generalized Hamming weights of one-point algebraic geometric codes

Geil, H. O., Martin, S., Matsumoto, R., Ruano, D. & Luo, Y., Oct 2014, In : I E E E Transactions on Information Theory. 60, 10, p. 5938 - 5949 12 p.

Research output: Contribution to journalJournal articleResearchpeer-review

25 Citations (Scopus)
2013

Feng-Rao decoding of primary codes

Geil, H. O., Matsumoto, R. & Ruano, D., 2013, In : Finite Fields and Their Applications. 23, p. 35-52 18 p.

Research output: Contribution to journalJournal articleResearchpeer-review

14 Citations (Scopus)

Generalization of the Lee-O'Sullivan list decoding for one-point AG codes

Matsumoto, R., Ruano, D. & Geil, H. O., 2013, In : Journal of Symbolic Computation. 55, p. 1-9 9 p.

Research output: Contribution to journalJournal articleResearchpeer-review

1 Citation (Scopus)

Weighted Reed-Muller codes revisited

Geil, H. O. & Thomsen, C., 2013, In : Designs, Codes and Cryptography. 66, 1-3, p. 195-220 26 p.

Research output: Contribution to journalJournal articleResearchpeer-review

20 Citations (Scopus)
2011

On the order bounds for one-point AG codes

Geil, H. O., Munuera, C., Ruano Benito, D. & Torres, F., 2011, In : Advances in Mathematics of Communication. 5, 3, p. 489-504 16 p.

Research output: Contribution to journalJournal articleResearchpeer-review

26 Citations (Scopus)
2009

Bounding the number of Fq-rational places in algebraic function fields using Weierstrass semigroups

Geil, H. O. & Matsumoto, R., 2009, In : Journal of Pure and Applied Algebra. 213, 6, p. 1152-1156 5 p.

Research output: Contribution to journalJournal articleResearchpeer-review

8 Citations (Scopus)
2008

Evaluation Codes from Order Domain Theory

Andersen, H. E. & Geil, H. O., 2008, In : Finite Fields and Their Applications. 14, 1, p. 92-123

Research output: Contribution to journalJournal articleResearchpeer-review

37 Citations (Scopus)

On the second weight of generalized Reed-Muller codes

Geil, H. O., 2008, In : Designs, Codes and Cryptography. 48, 3, p. 323-330 8 p.

Research output: Contribution to journalJournal articleResearchpeer-review

19 Citations (Scopus)
2007

Bounding the number of rational places using Weierstrass semigroups

Geil, H. O. & Matsumoto, R., 2007, In : arXiv.org (e-prints). 16 p.

Research output: Contribution to journalJournal articleResearch

2003

On codes from norm-trace curves

Geil, O., 2003, In : Finite Fields and Their Applications. 9, 3, p. 351-371

Research output: Contribution to journalJournal articleResearchpeer-review

40 Citations (Scopus)
2002

On the structure of order domains

Geil, O. & Pellikaan, R., 2002, In : Finite Fields and Their Applications. 8, p. 369-396

Research output: Contribution to journalJournal articleResearchpeer-review

48 Citations (Scopus)
2000

Footprints or generalized Bezout's theorem

Geil, O. & Høholdt, T., 2000, In : IEEE Transactions on Information Theory. 46

Research output: Contribution to journalJournal articleResearchpeer-review

25 Citations (Scopus)