Staff profile
Dr Maximilien Gadouleau
Associate Professor
Affiliation | Telephone |
---|---|
Associate Professor in the Department of Computer Science | +44 (0) 191 33 41729 |
Biography
I am an Associate Professor in Computer Science in the Algorithms and Complexity group.
I received my MSc and PhD in Computer Engineering from Lehigh University in December 2005 and May 2009, respectively. After graduation, I held a postdoctoral research position in Université de Reims Champagne-Ardenne, France until May 2010. I then was a postdoctoral research assistant in the Theoretical Computer Science group at Queen Mary, University of London until December 2011. I moved to Durham on January 2012.
I am a member of the IEEE and the IEEE Information Theory Society and of the London Mathematical Society.
My research interests include coding theory, network coding and information theory. I study their connection to other branches of mathematics, such as combinatorics, graph theory, discrete optimisation, matroid theory, logic and group theory. I also investigate their possible application to network design, data storage, cryptography, data compression and more recently computation models.
Research interests
- Boolean networks
- Coding theory
- Combinatorics
- Information theory
- Semigroups
Esteem Indicators
- 2018: Carnegie Trust for the Universities of Scotland: Research Assessor:
- 2017: EPSRC Peer Review College member:
Publications
Chapter in book
- Random Network Coding and Matroids
Gadouleau, M. (2012). Random Network Coding and Matroids. In K. Al Agha (Ed.), Network coding (147-184). John Wiley and Sons
Conference Paper
- Brief Announcement: Amnesiac Flooding: Easy to Break, Difficult to Escape
Austin, H., Gadouleau, M., Mertzios, G., & Trehan, A. (2025, June). Brief Announcement: Amnesiac Flooding: Easy to Break, Difficult to Escape. Presented at 2025 Symposium on Principles of Distributed Computing, Huatulco, Mexico - Brief Announcement: Amnesiac Flooding: Easy to Break, Hard to Escape
Austin, H., Gadouleau, M., Mertzios, G. B., & Trehan, A. (2025, June). Brief Announcement: Amnesiac Flooding: Easy to Break, Hard to Escape. Presented at ACM Principles of Distributed Computing (PODC) 2025, Huatulco, Mexico - On Finite Monoids of Cellular Automata
Castillo-Ramirez, A., & Gadouleau, M. (2016, June). On Finite Monoids of Cellular Automata. Presented at International workshop on cellular automata and discrete complex systems, Zurich, Switzerland - Generalizing Bounds on the Minimum Distance of Cyclic Codes Using Cyclic Product Codes
Zeh, A., Wachter-Zeh, A., Gadouleau, M., & Bezzateev, S. (2013, December). Generalizing Bounds on the Minimum Distance of Cyclic Codes Using Cyclic Product Codes. Presented at 2013 IEEE International Symposium on Information Theory, Istanbul, Turkey - Max-Flow Min-Cut Theorem for Rényi Entropy in Communication Networks
Gadouleau, M., & Riis, S. (2011, December). Max-Flow Min-Cut Theorem for Rényi Entropy in Communication Networks. Presented at IEEE International Symposium on Information Theory, St Petersburg, Russia - Network Coding Theorem for Dynamic Communication Networks
Riis, S., & Gadouleau, M. (2011, December). Network Coding Theorem for Dynamic Communication Networks. Presented at IEEE International Symposium on Network Coding, Beijing, China - A Dispersion Theorem for Communication Networks Based on Term Sets
Riis, S., & Gadouleau, M. (2011, December). A Dispersion Theorem for Communication Networks Based on Term Sets. Presented at IEEE International Symposium on Information Theory, St Petersburg, Russia - Binary Codes for Packet Error and Packet Loss Correction in Store and Forward
Gadouleau, M., & Goupil, A. (2010, January). Binary Codes for Packet Error and Packet Loss Correction in Store and Forward. Presented at International ITG Conference on Source and Channel Coding, Siegen, Germany - Rank Metric Decoder Architectures for Noncoherent Error Control in Random Network Coding
Chen, N., Gadouleau, M., & Yan, Z. (2009, December). Rank Metric Decoder Architectures for Noncoherent Error Control in Random Network Coding. Presented at IEEE Workshop on Signal Processing Systems, Tampere, Finland - On the Decoder Error Probability of Bounded Rank Distance Decoders for Rank Metric Codes
Gadouleau, M., & Yan, Z. (2009, December). On the Decoder Error Probability of Bounded Rank Distance Decoders for Rank Metric Codes. Presented at IEEE Information Theory Workshop, Taormina, Italy - Construction and Covering Properties of Constant-Dimension Codes
Gadouleau, M., & Yan, Z. (2009, December). Construction and Covering Properties of Constant-Dimension Codes. Presented at IEEE International Symposium on Information Theory, Seoul, South Korea - Decoder Error Probability of Bounded Distance Decoders for Constant-Dimension Codes
Gadouleau, M., & Yan, Z. (2009, December). Decoder Error Probability of Bounded Distance Decoders for Constant-Dimension Codes. Presented at IEEE International Symposium on Information Theory, Seoul, South Korea - Packing and Covering Properties of Subspace Codes
Gadouleau, M., & Yan, Z. (2009, December). Packing and Covering Properties of Subspace Codes. Presented at IEEE International Symposium on Information Theory, Seoul, South Korea - Constant-Rank Codes
Gadouleau, M., & Yan, Z. (2008, July). Constant-Rank Codes. Presented at IEEE ISIT, Toronto, ON - Constant-Rank Codes and Their Connection to Constant-Dimension Codes
Gadouleau, M., & Yan, Z. (2008, June). Constant-Rank Codes and Their Connection to Constant-Dimension Codes. Presented at 2008 IEEE International Workshop on Wireless Network Coding (WiNC 2008), San Francisco, CA - Complexity of Decoding Gabidulin Codes
Gadouleau, M., & Yan, Z. (2008, March). Complexity of Decoding Gabidulin Codes. Presented at CISS, Princeton, NJ - Covering Properties of Rank Metric Codes
Gadouleau, M., & Yan, Z. (2007, November). Covering Properties of Rank Metric Codes. Presented at IEEE Globecom, Washington, DC - MacWilliams Identity for the Rank Metric
Gadouleau, M., & Yan, Z. (2007, June). MacWilliams Identity for the Rank Metric. Presented at IEEE ISIT, Nice, France - Properties of Codes with the Rank Metric
Gadouleau, M., & Yan, Z. (2006, November). Properties of Codes with the Rank Metric. Presented at IEEE Globecom, San Francisco, CA - Decoder Error Probability of MRD Codes
Gadouleau, M., & Yan, Z. (2006, October). Decoder Error Probability of MRD Codes. Presented at IEE ITW, Chengdu. China - Security of the GPT-Type Cryptosystems
Gadouleau, M., & Yan, Z. (2006, July). Security of the GPT-Type Cryptosystems. Presented at IEEE ISIT, Seattle, WA - A Private-Key Cryptosystem Based on the Rank Metric
Gadouleau, M., & Yan, Z. (2005, July). A Private-Key Cryptosystem Based on the Rank Metric. Presented at Algebraic Methods in Cryptography Workshop, Beijing. China - Optimal Distortion Parameter for the GPT Public-Key Cryptosystem
Gadouleau, M., & Yan, Z. (2005, April). Optimal Distortion Parameter for the GPT Public-Key Cryptosystem. Presented at IEEE Sarnoff Symposium, Princeton, NJ
Journal Article
- Linear Programming complementation
Gadouleau, M., Mertzios, G., & Zamaraev, V. (2025). Linear Programming complementation. Theoretical Computer Science, 1032, Article 115087. https://doi.org/10.1016/j.tcs.2025.115087 - Generalising the maximum independent set algorithm via Boolean networks
Gadouleau, M., & Kutner, D. C. (2025). Generalising the maximum independent set algorithm via Boolean networks. Information and Computation, 303, Article 105266. https://doi.org/10.1016/j.ic.2025.105266 - The MacWilliams Identity for the Skew Rank Metric
Friedlander, I., Bouganis, A., & Gadouleau, M. (2025). The MacWilliams Identity for the Skew Rank Metric. Advances in Mathematics of Communications, 19(1), 140-179. https://doi.org/10.3934/amc.2023045 - Factorisation in the semiring of finite dynamical systems
Naquin, É., & Gadouleau, M. (2024). Factorisation in the semiring of finite dynamical systems. Theoretical Computer Science, 998, Article 114509. https://doi.org/10.1016/j.tcs.2024.114509 - Graphs with minimum degree-entropy
Dong, Y., Gadouleau, M., Wan, P., & Zhang, S. (2024). Graphs with minimum degree-entropy. Information Sciences, 671, 120629. https://doi.org/10.1016/j.ins.2024.120629 - Graphs with minimum fractional domatic number
Gadouleau, M., Harms, N., Mertzios, G. B., & Zamaraev, V. (2024). Graphs with minimum fractional domatic number. Discrete Applied Mathematics, 343, 140-148. https://doi.org/10.1016/j.dam.2023.10.020 - Bent functions in the partial spread class generated by linear recurring sequences
Gadouleau, M., Mariot, L., & Picek, S. (2023). Bent functions in the partial spread class generated by linear recurring sequences. Designs, Codes and Cryptography, 91(1), 63-82. https://doi.org/10.1007/s10623-022-01097-1 - Expansive automata networks
Bridoux, F., Gadouleau, M., & Theyssier, G. (2020). Expansive automata networks. Theoretical Computer Science, 843, 25-44. https://doi.org/10.1016/j.tcs.2020.06.019 - Elementary, finite and linear vN-regular cellular automata
Castillo-Ramirez, A., & Gadouleau, M. (2020). Elementary, finite and linear vN-regular cellular automata. Information and Computation, 274, Article 104533. https://doi.org/10.1016/j.ic.2020.104533 - Fixing monotone Boolean networks asynchronously
Aracena, J., Gadouleau, M., Richard, A., & Salinas, L. (2020). Fixing monotone Boolean networks asynchronously. Information and Computation, 274, Article 104540. https://doi.org/10.1016/j.ic.2020.104540 - Complete Simulation of Automata Networks
Bridoux, F., Castillo-Ramirez, A., & Gadouleau, M. (2020). Complete Simulation of Automata Networks. Journal of Computer and System Sciences, 109, 1-21. https://doi.org/10.1016/j.jcss.2019.12.001 - Max-flow min-cut theorems on dispersion and entropy measures for communication networks
Riis, S., & Gadouleau, M. (2019). Max-flow min-cut theorems on dispersion and entropy measures for communication networks. Information and Computation, 267, 49-73. https://doi.org/10.1016/j.ic.2019.03.004 - On the stability and instability of finite dynamical systems with prescribed interaction graphs
Gadouleau, M. (2019). On the stability and instability of finite dynamical systems with prescribed interaction graphs. Electronic Journal of Combinatorics, 26(3), Article P3.32 - On the Rank and Periodic Rank of Finite Dynamical Systems
Gadouleau, M. (2018). On the Rank and Periodic Rank of Finite Dynamical Systems. Electronic Journal of Combinatorics, 25(3), Article #P3.48 - Finite Dynamical Systems, Hat Games, and Coding Theory
Gadouleau, M. (2018). Finite Dynamical Systems, Hat Games, and Coding Theory. SIAM Journal on Discrete Mathematics, 32(3), 1922-1945. https://doi.org/10.1137/15m1044758 - On the possible values of the entropy of undirected graphs
Gadouleau, M. (2018). On the possible values of the entropy of undirected graphs. Journal of Graph Theory, 88(2), 302-311. https://doi.org/10.1002/jgt.22213 - Chains of subsemigroups
Cameron, P. J., Gadouleau, M., Mitchell, J. D., & Peresse, Y. (2017). Chains of subsemigroups. Israel Journal of Mathematics, 220(1), 479-508. https://doi.org/10.1007/s11856-017-1523-x - Lengths of words in transformation semigroups generated by digraphs
Cameron, P. J., Castillo-Ramirez, A., Gadouleau, M., & Mitchell, J. D. (2017). Lengths of words in transformation semigroups generated by digraphs. Journal of Algebraic Combinatorics, 45(1), 149-170. https://doi.org/10.1007/s10801-016-0703-9 - Ranks of finite semigroups of one-dimensional cellular automata
Castillo-Ramirez, A., & Gadouleau, M. (2016). Ranks of finite semigroups of one-dimensional cellular automata. Semigroup Forum, 93(2), 347-362. https://doi.org/10.1007/s00233-016-9783-z - Reduction and Fixed Points of Boolean Networks and Linear Network Coding Solvability
Gadouleau, M., Richard, A., & Fanchon, E. (2016). Reduction and Fixed Points of Boolean Networks and Linear Network Coding Solvability. IEEE Transactions on Information Theory, 62(5), 2504-2519. https://doi.org/10.1109/tit.2016.2544344 - Simple dynamics on graphs
Gadouleau, M., & Richard, A. (2016). Simple dynamics on graphs. Theoretical Computer Science, 628, 62-77. https://doi.org/10.1016/j.tcs.2016.03.013 - Fixed points of Boolean networks, guessing graphs, and coding theory
Gadouleau, M., Richard, A., & Riis, S. (2015). Fixed points of Boolean networks, guessing graphs, and coding theory. SIAM Journal on Discrete Mathematics, 29(4), 2312-2335. https://doi.org/10.1137/140988358 - New Constructions and Bounds for Winkler's Hat Game
Gadouleau, M., & Georgiou, N. (2015). New Constructions and Bounds for Winkler's Hat Game. SIAM Journal on Discrete Mathematics, 29(2), 823-834. https://doi.org/10.1137/130944680 - Memoryless computation: New results, constructions, and extensions
Gadouleau, M., & Riis, S. (2015). Memoryless computation: New results, constructions, and extensions. Theoretical Computer Science, 562, 129-145. https://doi.org/10.1016/j.tcs.2014.09.040 - Computing in Permutation Groups Without Memory
Cameron, P., Fairbairn, B., & Gadouleau, M. (2014). Computing in Permutation Groups Without Memory. Chicago journal of theoretical computer science, 2014(7), 1-20. https://doi.org/10.4086/cjtcs.2014.007 - Computing in Matrix Groups Without Memory
Cameron, P., Fairbairn, B., & Gadouleau, M. (2014). Computing in Matrix Groups Without Memory. Chicago journal of theoretical computer science, 2014(8), 1-16. https://doi.org/10.4086/cjtcs.2014.008 - Entropy of Closure Operators and Network Coding Solvability
Gadouleau, M. (2014). Entropy of Closure Operators and Network Coding Solvability. Entropy, 16(9), 5122-5143. https://doi.org/10.3390/e16095122 - Closure Solvability for Network Coding and Secret Sharing
Gadouleau, M. (2013). Closure Solvability for Network Coding and Secret Sharing. IEEE Transactions on Information Theory, 59(12), 7858-7869. https://doi.org/10.1109/tit.2013.2282293 - Combinatorial Representations
Cameron, P. J., Gadouleau, M., & Riis, S. (2013). Combinatorial Representations. Journal of Combinatorial Theory, Series A, 120(3), 671-682. https://doi.org/10.1016/j.jcta.2012.12.002 - Remoteness of permutation codes
Cameron, P. J., & Gadouleau, M. (2012). Remoteness of permutation codes. European Journal of Combinatorics, 33(6), 1273-1285. https://doi.org/10.1016/j.ejc.2012.03.027 - Rank Metric Decoder Architectures for Random Linear Network Coding with Error Control
Chen, N., Yan, Z., Gadouleau, M., Wang, Y., & Suter, B. W. (2012). Rank Metric Decoder Architectures for Random Linear Network Coding with Error Control. IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 20(2), 296-309. https://doi.org/10.1109/tvlsi.2010.2096239 - Graph-Theoretical Constructions for Graph Entropy and Network Coding Based Communications
Gadouleau, M., & Riis, S. (2011). Graph-Theoretical Constructions for Graph Entropy and Network Coding Based Communications. IEEE Transactions on Information Theory, 57(10), 6703-6717. https://doi.org/10.1109/tit.2011.2155618 - A Matroid Framework for Noncoherent Random Network Communications
Gadouleau, M., & Goupil, A. (2011). A Matroid Framework for Noncoherent Random Network Communications. IEEE Transactions on Information Theory, 57(2), 1031-1045. https://doi.org/10.1109/tit.2010.2094818 - Constant-Rank Codes and Their Connection to Constant-Dimension Codes
Gadouleau, M., & Yan, Z. (2010). Constant-Rank Codes and Their Connection to Constant-Dimension Codes. IEEE Transactions on Information Theory, 56(7), 3207-3216. https://doi.org/10.1109/tit.2010.2048447 - Packing and Covering Properties of Subspace Codes for Error Control in Random Linear Network Coding
Gadouleau, M., & Yan, Z. (2010). Packing and Covering Properties of Subspace Codes for Error Control in Random Linear Network Coding. IEEE Transactions on Information Theory, 56(5), 2097-2108 - Bounds on Covering Codes with the Rank Metric
Gadouleau, M., & Yan, Z. (2009). Bounds on Covering Codes with the Rank Metric. IEEE Communications Letters, 13(9), 691-693 - Packing and Covering Properties of Rank Metric Codes
Gadouleau, M., & Yan, Z. (2008). Packing and Covering Properties of Rank Metric Codes. IEEE Transactions on Information Theory, 54(9), 3873-3883. https://doi.org/10.1109/tit.2008.928284 - On the Decoder Error Probability of Bounded Rank-Distance Decoders for Maximum Rank Distance Codes
Gadouleau, M., & Yan, Z. (2008). On the Decoder Error Probability of Bounded Rank-Distance Decoders for Maximum Rank Distance Codes. IEEE Transactions on Information Theory, 54(7), 3202-3206 - MacWilliams Identity for Codes with the Rank Metric
Gadouleau, M., & Yan, Z. (2008). MacWilliams Identity for Codes with the Rank Metric. EURASIP Journal on Wireless Communications and Networking, 2008, Article 754021. https://doi.org/10.1155/2008/754021