• Skjernvej 4, A, 1-210

    9220 Aalborg Ø

    Denmark

  • Niels Jernes Vej 10, B-026

    9220 Aalborg Ø

    Denmark

19992020

Research output per year

If you made any changes in Pure these will be visible here soon.

Research Output

Filter
Article in proceeding
2019

Accelerated processing for maximum distance separable codes using composite extension fields

Ruano, D., Lucani, D. E. & Geil, O., 1 Jan 2019, European Wireless 2019 Conference, EW 2019. VDE Verlag GMBH, p. 14-18 5 p. (European Wireless 2019 Conference, EW 2019).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

2017

Bounding the Minimum Distance of Affine Variety Codes Using Symbolic Computations of Footprints

Geil, H. O. & Ozbudak, F., 2017, Coding Theory and Applications: 5th International Castle Meeting, ICMCTA 2017, Vihula, Estonia, August 28-31, 2017, Proceedings. Barbero, Á. I., Skachek, V. & Ytrehus, Ø. (eds.). Springer VS, p. 128-138 11 p. (Lecture Notes in Computer Science, Vol. 10495).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

3 Citations (Scopus)

Random Network Coding over Composite Fields

Geil, H. O. & Lucani, D. E., 2017, Coding Theory and Applications: 5th International Castle Meeting, ICMCTA 2017, Vihula, Estonia, August 28-31, 2017, Proceedings. Barbero, Á. I., Skachek, V. & Ytrehus, Ø. (eds.). Springer VS, p. 118-127 10 p. (Lecture Notes in Computer Science; No. 10495).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

2015

On asymptotically good ramp secret sharing schemes

Geil, H. O., Martin, S., Martinez Peñas, U., Matsumoto, R. & Ruano Benito, D., 2015, Proceedings of the WCC 2015. 10 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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., 2015, 21st Conference on Applications of Computer Algebra: ACA 2015. p. 120-124 5 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Open Access
2014

Affine variety codes are better than their reputation

Geil, H. O. & Martin, S., 2014, Proceedings of the 21st Symposium on Mathematical Theory of Networks and Systems. University of Groningen, p. 362-365 4 p. TuA04.3

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

File
101 Downloads (Pure)

Relative generalized Hamming weights of one-point algebraic geometric codes

Geil, H. O., Martin, S., Matsumoto, R. & Ruano, D., 2014, Proceedings of Information Theory Workshop (ITW), 2014 IEEE. IEEE Press, p. 137-141 5 p. (IEEE Information Theory Workshop).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

3 Citations (Scopus)
2012

A new method for constructing small-bias spaces from Hermitian codes

Geil, H. O., Martin, S. & Matsumoto, R., 2012, Arithmetic of Finite Fields: 4th International Workshop on , WAIFI 2012. Özbudak, F. & Rodríguez-Henríquez, F. (eds.). Springer, Vol. 7369. p. 29-44 16 p. (Lecture Notes in Computer Science, Vol. 7369).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

List decoding algorithms based on Gröbner bases for general one-point AG codes

Geil, H. O., Matsumoto, R. & Ruano, D., Jul 2012, Information Theory Proceedings (ISIT): 2012 IEEE International Symposium on Information Theory. IEEE, p. 86-90 5 p. (Proceedings of the IEEE International Symposium on Information Theory).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

8 Citations (Scopus)
2011

List decoding of a class of affine variety codes

Geil, H. O. & Thomsen, C., Apr 2011, The Seventh International Workshop on Coding and Cryptography 2011. Paris: Institut National de Recherche en Informatique et en Automatique, Vol. 7. p. 263-272 10 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

2008

On Field Size and Success Probability in Network Coding

Geil, H. O., Matsumoto, R. & Thomsen, C., 2008, Arithmetic of Finite Fields: 2nd International Workshop, WAIFI 2008 Siena, Italy, July 6-9, 2008 Proceedings. Springer, p. 157-173 (Lecture Notes in Computer Science; No. 5130).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

3 Citations (Scopus)
2006

On the Feng-Rao bound for generalized hamming weights

Geil, H. O. & Thommesen, C., 2006, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Fossorier, M., Imai, H., Lin, S. & Poli, A. (eds.). IEEE Computer Society Press, Vol. 3857. p. 295-306

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

6 Citations (Scopus)
2005

On the minimum distance of one-point geometric Goppa codes

Andersen, H. E. & Geil, H. O., 2005, Conference AGCT-10: Arithmétique et Théorie de L'Information. Rodier, F. & Vladut, S. (eds.). CIRM, 2 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

Open Access
File
148 Downloads (Pure)
2004

On some Gröbner basis theoretical applications

Geil, O., 2004, Proceedings of the 8th Nordic Combinatorial Conference. Department of Mathematical Sciences, Aalborg University, p. 59-64

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

The missing evaluation codes from order domain theory

Andersen, H. E. & Geil, O., 2004, Proceedings of 2004 IEEE International Symposium on Information Theory. IEEE Signal Processing Society, p. 78

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

2003

On hyperbolic type codes

Geil, O. & Høholdt, T., 2003, Proceedings of the 2003 IEEE International Symposium on Information Theory. IEEE Signal Processing Society, p. 331

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

2 Citations (Scopus)
2002

A class of Gröbner basis theoretically based evaluation codes

Geil, O., 2002, Proceedings of 2002 IEEE International Symposium on Information Theory. ISIT 2002, Lausanne, Switzerland. IEEE Press, p. 60

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

2001

Codes from order domains

Geil, O., 2001, Proceedings from 2001 IEEE International Symposium on Information Theory, June 2001. p. 308

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

1 Citation (Scopus)

On hyperbolic codes

Geil, O. & Høholdt, T., 2001, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC) : 14th International Symposium, November 2001: Lecture Notes in Computer Science. Boztas, S. : Shparlinski, I. E. (ed.). 2227 ed. IEEE Computer Society Press, p. 159-171

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

19 Citations (Scopus)