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Research Output

2019

Matrix theory for minimal trellises

Duursma, I. M., Nov 1 2019, In : Designs, Codes, and Cryptography. 87, 11, p. 2507-2536 30 p.

Research output: Contribution to journalArticle

Shortened Regenerating Codes

Duursma, I. M., Feb 2019, In : IEEE Transactions on Information Theory. 65, 2, p. 1000-1007 8 p., 8367855.

Research output: Contribution to journalArticle

Sparse and balanced reed-solomon and tamo-barg codes

Halbawi, W., Liu, Z., Duursma, I. M., Dau, H. & Hassibi, B., Jan 2019, In : IEEE Transactions on Information Theory. 65, 1, p. 118-130 13 p., 8478350.

Research output: Contribution to journalArticle

2018

On the I/O Costs of Some Repair Schemes for Full-Length Reed-Solomon Codes

Dau, H., Duursma, I. & Chu, H., Aug 15 2018, 2018 IEEE International Symposium on Information Theory, ISIT 2018. Institute of Electrical and Electronics Engineers Inc., p. 1700-1704 5 p. 8437865. (IEEE International Symposium on Information Theory - Proceedings; vol. 2018-June).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rank metric codes and zeta functions

Blanco-Chacón, I., Byrne, E., Duursma, I. & Sheekey, J., Aug 1 2018, In : Designs, Codes, and Cryptography. 86, 8, p. 1767-1792 26 p.

Research output: Contribution to journalArticle

Repairing Reed-Solomon Codes With Multiple Erasures

Dau, H., Duursma, I. M., Kiah, H. M. & Milenkovic, O., Oct 2018, In : IEEE Transactions on Information Theory. 64, 10, p. 6567-6582 16 p., 8340062.

Research output: Contribution to journalArticle

2017

Balanced and sparse Tamo-Barg codes

Halbawi, W., Duursma, I., Dau, H. & Hassibi, B., Aug 9 2017, 2017 IEEE International Symposium on Information Theory, ISIT 2017. Institute of Electrical and Electronics Engineers Inc., p. 1018-1022 5 p. 8006682. (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Low bandwidth repair of the RS(10,4) Reed-Solomon code

Duursma, I. M. & Da, H., Aug 30 2017, 2017 Information Theory and Applications Workshop, ITA 2017. Institute of Electrical and Electronics Engineers Inc., 8023449

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rank-metric codes with local recoverability

Kadhe, S., El Rouayheb, S., Duursma, I. & Sprintson, A., Feb 10 2017, 54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016. Institute of Electrical and Electronics Engineers Inc., p. 1033-1040 8 p. 7852348. (54th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2016).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Repairing reed-solomon codes with two erasures

Dau, H., Duursma, I. M., Kiah, H. M. & Milenkovic, O., Aug 9 2017, 2017 IEEE International Symposium on Information Theory, ISIT 2017. Institute of Electrical and Electronics Engineers Inc., p. 351-355 5 p. 8006548. (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Sector-disk codes with three global parities

Li, X. & Duursma, I., Aug 9 2017, 2017 IEEE International Symposium on Information Theory, ISIT 2017. Institute of Electrical and Electronics Engineers Inc., p. 614-618 5 p. 8006601. (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2015

Smooth embeddings for the Suzuki and Ree curves

Eid, A. & Duursma, I., 2015, Algorithmic arithmetic, geometry, and coding theory. Amer. Math. Soc., Providence, RI, Vol. 637. p. 251-291 41 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2014

Distributed gabidulin codes for multiple-source network error correction

Halbawi, W., Ho, T. & Duursma, I. M., Jan 1 2014, 2014 International Symposium on Network Coding, NetCod 2014 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 6892135. (2014 International Symposium on Network Coding, NetCod 2014 - Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Distributed reed-solomon codes for simple multiple access networks

Halbawi, W., Ho, T., Yao, H. & Duursma, I., Jan 1 2014, 2014 IEEE International Symposium on Information Theory, ISIT 2014. Institute of Electrical and Electronics Engineers Inc., p. 651-655 5 p. 6874913. (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2013

Evaluation codes from smooth quadric surfaces and twisted Segre varieties

Couvreur, A. & Duursma, I., Jan 1 2013, In : Designs, Codes, and Cryptography. 66, 1-3, p. 291-303 13 p.

Research output: Contribution to journalArticle

On lower bounds for the Ihara constants A(2) and A(3)

Duursma, I. & Mak, K. H., Jul 1 2013, In : Compositio Mathematica. 149, 7, p. 1108-1128 21 p.

Research output: Contribution to journalArticle

2012

Delta sets for divisors supported in two points

Duursma, I. M. & Park, S., Sep 1 2012, In : Finite Fields and their Applications. 18, 5, p. 865-885 21 p.

Research output: Contribution to journalArticle

Multiplicative secret sharing schemes from Reed-Muller type codes

Duursma, I. M. & Shen, J., Oct 22 2012, 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012. p. 264-268 5 p. 6283999. (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

On maximal curves which are not Galois subcovers of the Hermitian curve

Duursma, I. & Mak, K. H., Sep 1 2012, In : Bulletin of the Brazilian Mathematical Society. 43, 3, p. 453-465 13 p.

Research output: Contribution to journalArticle

2011

Distance bounds for algebraic geometric codes

Duursma, I., Kirov, R. & Park, S., Aug 1 2011, In : Journal of Pure and Applied Algebra. 215, 8, p. 1863-1878 16 p.

Research output: Contribution to journalArticle

Improved two-point codes on Hermitian curves

Duursma, I. M. & Kirov, R., Jul 1 2011, In : IEEE Transactions on Information Theory. 57, 7, p. 4469-4476 8 p., 5895070.

Research output: Contribution to journalArticle

Two-point coordinate rings for GK-curves

Duursma, I. M., Feb 1 2011, In : IEEE Transactions on Information Theory. 57, 2, p. 593-600 8 p., 5695101.

Research output: Contribution to journalArticle

2010

Binomial moments for divisible self-dual codes

Duursma, I. M., 2010, In : Int. J. Inf. Coding Theory. 1, 2, p. 191-199 9 p.

Research output: Contribution to journalArticle

Coset bounds for algebraic geometric codes

Duursma, I. M. & Park, S., Jan 1 2010, In : Finite Fields and their Applications. 16, 1, p. 36-55 20 p.

Research output: Contribution to journalArticle

2009

An Extension of the Order Bound for AG Codes

Duursma, I. M. & Kirov, R., Aug 21 2009, Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes - 18th International Symposium, AAECC-18, Proceedings. p. 11-22 12 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 5527 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2008

Algebraic geometry codes: general theory

Duursma, I. M., 2008, Advances in algebraic geometry codes. World Sci. Publ., Hackensack, NJ, Vol. 5. p. 1-48 48 p. (Ser. Coding Theory Cryptol.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2006

A symmetric Roos bound for linear codes

Duursma, I. M. & Pellikaan, R., Nov 1 2006, In : Journal of Combinatorial Theory. Series A. 113, 8, p. 1677-1688 12 p.

Research output: Contribution to journalArticle

2005

A group key agreement protocol from pairings

Duursma, I. & Lee, H. S., Aug 15 2005, In : Applied Mathematics and Computation. 167, 2, p. 1451-1456 6 p.

Research output: Contribution to journalArticle

The vector decomposition problem for elliptic and hyperelliptic curves

Duursma, I. & Kiyavash, N., 2005, In : Journal of the Ramanujan Mathematical Society. 20, 1, p. 59-76 18 p.

Research output: Contribution to journalArticle

2004
2003

Extremal weight enumerators and ultraspherical polynomials

Duursma, I., Jul 6 2003, In : Discrete Mathematics. 268, 1-3, p. 103-127 25 p.

Research output: Contribution to journalArticle

Geometric Reed-Solomon codes of length 64 and 65 over F8

Chen, C. Y. & Duursma, I. M., May 1 2003, In : IEEE Transactions on Information Theory. 49, 5, p. 1351-1353 3 p.

Research output: Contribution to journalArticle

2002

Bounds for completely decomposable Jacobians

Duursma, I. & Enjalbert, J-Y., 2002, Finite fields with applications to coding theory, cryptography and related areas (Oaxaca, 2001). Springer Berlin, p. 86-93 8 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2001

A Riemann hypothesis analogue for self-dual codes

Duursma, I., 2001, Codes and association schemes (Piscataway, NJ, 1999). Amer. Math. Soc., Providence, RI, Vol. 56. p. 115-124 10 p. (DIMACS Ser. Discrete Math. Theoret. Comput. Sci.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

A Z8-linear lift of the binary Golay code and a nonlinear binary (96, 237, 24)-code

Duursma, I. M., Greferath, M., Litsyn, S. N. & Schmidt, S. E., May 2001, In : IEEE Transactions on Information Theory. 47, 4, p. 1596-1598 3 p.

Research output: Contribution to journalArticle

From weight enumerators to zeta functions

Duursma, I., Jul 15 2001, In : Discrete Applied Mathematics. 111, 1-2, p. 55-73 19 p.

Research output: Contribution to journalArticle

Preparata codes through lattices

Duursma, I. M., Jan 1 2001, In : IEEE Transactions on Information Theory. 47, 1, p. 36-44 9 p.

Research output: Contribution to journalArticle

Reed-Muller codes on complete intersections

Duursma, I. M., Rentería, C. & Tapia-Recillas, H., Jun 19 2001, In : Applicable Algebra in Engineering, Communications and Computing. 11, 6, p. 455-462 8 p.

Research output: Contribution to journalArticle

2000

Efficient algorithms for the Jacobian variety of hyperelliptic curves $y^2=x^p-x+1$ over a finite field of odd characteristic $p$

Duursma, I. & Sakurai, K., 2000, Coding theory, cryptography and related areas (Guanajuato, 1998). Springer Berlin, p. 73-89 17 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

On the Optimal Z4 Codes of Type II and Length 16

Duursma, I. M., Greferath, M. & Schmidt, S. E., Oct 1 2000, In : Journal of Combinatorial Theory. Series A. 92, 1, p. 77-82 6 p.

Research output: Contribution to journalArticle

1999

Monomial embeddings of the Klein curve

Duursma, I. M., Oct 28 1999, In : Discrete Mathematics. 208-209, p. 235-246 12 p.

Research output: Contribution to journalArticle

Speeding up the discrete log computation on curves with automorphisms

Duursma, I., Gaudry, P. & Morain, F., Jan 1 1999, Advances in Cryptology - ASIACRYPT 1999 - International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. Lam, K. Y., Okamoto, E. & Xing, C. (eds.). Springer-Verlag Berlin Heidelberg, p. 103-121 19 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 1716).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access

Split Weight Enumerators for the Preparata Codes with Applications to Designs

Duursma, I., Helleseth, T., Rong, C. & Yang, K., Dec 1 1999, In : Designs, Codes, and Cryptography. 18, 1-3, p. 103-124 22 p.

Research output: Contribution to journalArticle

Weight distributions of geometric goppa codes

Duursma, I. M., Jan 1 1999, In : Transactions of the American Mathematical Society. 351, 9, p. 3609-3639 31 p.

Research output: Contribution to journalArticle

Open Access
1998

Interpolation and approximation in decoding

Duursma, I., Jan 1 1998, 1998 Information Theory Workshop, ITW 1998. Institute of Electrical and Electronics Engineers Inc., 1 p. 706400. (1998 Information Theory Workshop, ITW 1998).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1997

Cyclic subcodes of generalized Reed-Muller codes

Moreno, O., Duursma, I. M., Cherdieu, J. P. & Edouard, A., Dec 1 1997, Proceedings - 1997 IEEE International Symposium on Information Theory, ISIT 1997. 1 p. 613171. (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Translates of linear codes over Z4

Bonnecaze, A. & Duursma, I. M., Dec 1 1997, In : IEEE Transactions on Information Theory. 43, 4, p. 1218-1230 13 p.

Research output: Contribution to journalArticle