Publication list

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Articles under review

  1. Alonso Castillo-Ramirez and MG, "Universal Simulation of Automata Networks." (arxiv)
  2. James East, MG, James D. Mitchell, "Structural aspects of semigroups based on digraphs." (arxiv)
  3. MG, "Finite dynamical systems, hat games, and coding theory." (arxiv)
  4. MG, "On the possible values of the entropy of undirected graphs." (arxiv)
  5. MG, "Maximum Rank and Periodic Rank of Finite Dynamical Systems." (arxiv)
  6. MG, "A dynamical characterisation of finite dynamical systems with acyclic interaction graphs." (pdf)
  7. MG, "On the stability and instability of finite dynamical systems with prescribed interaction graphs." (arxiv)
  8. MG, "Constant-weight Array Codes." (arxiv)
  9. Søren Riis and MG, "Max-Flow Min-Cut Theorems for Multi-User Communication Networks." (arxiv)

Articles in peer-reviewed journals

  1. MG and Zhiyuan Yan, "MacWilliams Identity for Codes with the Rank Metric."
    EURASIP Journal on Wireless Communications and Networking, vol. 2008, Special Issue on Advances in Error Control Coding Techniques, March 2008. (pdf)
  2. MG and Zhiyuan Yan, "On the Decoder Error Probability of Bounded Rank-Distance Decoders for Maximum Rank Distance Codes."
    IEEE Transactions on Information Theory, vol. 54, no. 7, July 2008, pp. 3202-3206. (pdf)
  3. MG and Zhiyuan Yan, "Packing and Covering Properties of Rank Metric Codes."
    IEEE Transactions on Information Theory, vol. 54, no. 9, September 2008, pp. 3873-3883. (pdf)
  4. MG and Zhiyuan Yan, "Bounds on Covering Codes with the Rank Metric."
    IEEE Communications Letters, vol. 13, no. 9, September 2009, pp. 691-693. (pdf)
  5. MG and Zhiyuan Yan, "Packing and Covering Properties of Subspace Codes for Error Control in Random Linear Network Coding."
    IEEE Transactions on Information Theory, vol. 56, no. 5, May 2010, pp. 2097-2108. (pdf)
  6. MG and Zhiyuan Yan, "Constant-Rank Codes and Their Connection to Constant-Dimension Codes."
    IEEE Transactions on Information Theory, vol. 56, no. 7, July 2010, pp. 3207-3216. (pdf)
  7. MG and Alban Goupil, "A Matroid Framework for Noncoherent Random Network Communications."
    IEEE Transactions on Information Theory, vol. 57, no. 2, February 2011, pp. 1031-1045. (pdf)
  8. MG and Søren Riis, "Graph-theoretical Constructions for Graph Entropy and Network Coding Based Communications."
    IEEE Transactions on Information Theory, vol. 57, no. 10, October 2011, pp. 6703-6717. (pdf)
  9. Ning Chen, Zhiyuan Yan, MG, Ying Wang, and Bruce W. Suter, "Rank Metric Decoder Architectures for Random Linear Network Coding with Error Control."
    IEEE Transactions on VLSI Systems, vol. 20, no. 2, February 2012, pp. 296-309. (pdf)
  10. Peter J. Cameron and MG, "Remoteness of Permutation Codes."
    European Journal of Combinatorics, vol. 33, no. 6, August 2012, pp. 1273-1285. (pdf)
  11. Peter J. Cameron, MG and Søren Riis, "Combinatorial Representations."
    Journal of Combinatorial Theory, Series A, vol. 120, no. 3, April 2013, pp. 671-682. (arxiv)
  12. MG, "Closure Solvability for Network Coding and Secret Sharing."
    IEEE Transactions on Information Theory, vol. 59, no. 12, December 2013, pp. 7858-7869. (arxiv)
  13. MG, "Entropy of Closure Operators and Network Coding Solvability."
    Entropy, vol. 16, no. 9, September 2014, pp. 5122-5143. (pdf)
  14. Peter J. Cameron, Ben Fairbairn, and MG, "Computing in Permutation Groups Without Memory."
    Chicago Journal of Theoretical Computer Science, vol. 2014, Article 07, November 2014, pp. 1-20. (www)
  15. Peter J. Cameron, Ben Fairbairn, and MG, "Computing in Matrix Groups Without Memory."
    Chicago Journal of Theoretical Computer Science, vol. 2014, Article 08, November 2014, pp. 1-16. (www)
  16. MG and Søren Riis, "Memoryless computation: New results, constructions, and extensions."
    Theoretical Computer Science, vol. 562, January 2015, pp. 129-145. (arxiv)
  17. MG and Nicholas Georgiou, "New constructions and bounds for Winkler's hat game."
    SIAM Journal on Discrete Mathematics, vol. 29, no. 2, April 2015, pp. 823-834. (arxiv)
  18. MG, Adrien Richard, and Søren Riis, "Fixed points of Boolean networks, guessing graphs, and coding theory."
    SIAM Journal on Discrete Mathematics, vol. 29, no. 4, December 2015, pp. 2312-2335. (arxiv)
  19. MG, Adrien Richard, and Eric Fanchon, "Reduction and Fixed Points of Boolean Networks and Linear Network Coding Solvability."
    IEEE Transactions on Information Theory, vol. 62, no. 5, May 2016, pp. 2504-2519. (arxiv)
  20. MG and Adrien Richard, "Simple dynamics on graphs."
    Theoretical Computer Science, vol. 628, May 2016, pp. 62–77. (arxiv)
  21. Alonso Castillo-Ramirez and MG, "Ranks of finite semigroups of one-dimensional cellular automata."
    Semigroup Forum, vol. 93, October 2016, pp. 347-362. (arxiv)
  22. Peter J. Cameron, Alonso Castillo-Ramirez, MG, and James D. Mitchell, "Lengths of words in transformation semigroups generated by digraphs."
    Journal of Algebraic Combinatorics, vol. 45, February 2017, pp. 149-170. (arxiv)
  23. Peter J. Cameron, MG, James D. Mitchell, and Yann Peresse, "Chains of subsemigroups."
    Israel Journal of Mathematics, vol. 220, June 2017, pp. 479-508. (arxiv)
  24. Alonso Castillo-Ramirez and MG, "Cellular Automata and Finite Groups."
    Natural Computing, to appear. (arxiv)

Articles in peer-reviewed conference proceedings

  1. MG and Zhiyuan Yan, "Optimal Distortion Parameter for the GPT Cryptosystem."
    Proc. IEEE Sarnoff Symposium, Princeton, NJ, April 2005, pp. 130-133. (pdf)
  2. MG and Zhiyuan Yan, "A Private-Key Cryptosystem Based on the Rank Metric."
    Proc. Algebraic Methods in Cryptography Workshop, Beijing, China, July 2005. (pdf)
  3. MG and Zhiyuan Yan, "Security of the GPT-Type Cryptosystems."
    Proc. IEEE International Symposium on Information Theory, Seattle, WA, July 2006, pp. 724-728. (pdf)
  4. MG and Zhiyuan Yan, "Decoder Error Probability of MRD codes."
    Proc. IEEE Information Theory Workshop, Chengdu, China, October 2006, pp. 264-268.
  5. MG and Zhiyuan Yan, "Properties of Codes with the Rank Metric."
    Proc. IEEE Global Communications Conference, San Francisco, CA, November 2006, pp. 1-5.
  6. MG and Zhiyuan Yan, "MacWilliams Identity for the Rank Metric."
    Proc. IEEE International Symposium on Information Theory, Nice, France, June 2007, pp. 36-40.
  7. MG and Zhiyuan Yan, "Covering Properties of Rank Metric Codes."
    Proc. IEEE Global Communications Conference, Washington, DC, November 2007, pp. 1446-1450.
  8. MG and Zhiyuan Yan, "Complexity of Decoding Gabidulin Codes."
    Proc. IEEE Conference on Information Sciences and Systems, Princeton, NJ, March 2008, pp. 1081-1085. (pdf)
  9. MG and Zhiyuan Yan, "Constant-Rank Codes and Their Connection to Constant-Dimension Codes."
    Proc. IEEE International Workshop on Wireless Network Coding, San Francisco, CA, June 2008, pp. 1-6.
  10. MG and Zhiyuan Yan, "Constant-Rank Codes."
    Proc. IEEE International Symposium on Information Theory, Toronto, ON, June-July 2008, pp. 876-880.
  11. MG and Zhiyuan Yan, "Construction and Covering Properties of Constant-Dimension Codes."
    Proc. IEEE International Symposium on Information Theory, Seoul, South Korea, June-July 2009, pp. 2221-2225. (pdf)
  12. MG and Zhiyuan Yan, "Decoder Error Probability of Bounded Distance Decoders for Constant-Dimension Codes."
    Proc. IEEE International Symposium on Information Theory, Seoul, South Korea, June-July 2009, pp. 2226-2230. (pdf)
  13. MG and Zhiyuan Yan, "Packing and Covering Properties of Subspace Codes."
    Proc. IEEE International Symposium on Information Theory, Seoul, South Korea, June-July 2009, pp. 2867-2871.
  14. MG and Zhiyuan Yan, "On the Decoder Error Probability of Bounded Rank Distance Decoders for Rank Metric Codes."
    Proc. IEEE Information Theory Workshop, Taormina, Italy, October 2009, pp. 485-489. (pdf)
  15. Ning Chen, MG and Zhiyuan Yan, "Rank Metric Decoder Architectures for Noncoherent Error Control in Random Network Coding."
    Proc. IEEE Workshop on Signal Processing Systems, Tampere, Finland, October 2009, pp. 127-132. (pdf)
  16. MG and Alban Goupil, "Binary Codes for Packet Error and Packet Loss Correction in Store and Forward."
    Proc. International ITG Conference on Source and Channel Coding, Siegen, Germany, January 2010, pp. 1-6. (pdf)
  17. Søren Riis and MG, "Network Coding Theorem for Dynamic Communication Networks."
    Proc. IEEE International Symposium on Network Coding, Beijing, China, July 2011, pp. 1-6. (pdf)
  18. MG and Søren Riis, "Max-Flow Min-Cut Theorem for Rényi Entropy in Communication Networks."
    Proc. IEEE International Symposium on Information Theory, St Petersburg, Russia, August 2011, pp. 677-681. (pdf)
  19. Søren Riis and MG, "A Dispersion Theorem for Communication Networks Based on Term Sets."
    Proc. IEEE International Symposium on Information Theory, St Petersburg, Russia, August 2011, pp. 667-671. (pdf)
  20. Alexander Zeh, Antonia Wachter-Zeh, MG, and Sergey Bezzateev, "Generalizing Bounds on the Minimum Distance of Cyclic Codes Using Cyclic Product Codes."
    Proc. IEEE International Symposium on Information Theory, Istanbul, Turkey, August 2013, pp. 126-130. (arxiv)
  21. Alonso Castillo-Ramirez and MG, "On Finite Monoids of Cellular Automata."
    Proc. international workshop on cellular automata and discrete complex systems, Zurich, Switzerland, June 2016, pp. 90-104. (arxiv)
  22. Alonso Castillo-Ramirez and MG, "Von Neumann Regular Cellular Automata."
    Proc. international workshop on cellular automata and discrete complex systems, Milan, Italy, June 2017, pp. 44-55. (arxiv)

Book chapter

  1. MG, "Random Network Coding and Matroids."
    in Network Coding, Edited by Khaldoun Al Agha, April 2012, Wiley, London.

Dissertation and Thesis

  1. MG, "Cryptosystems Using Error-Correcting Codes Based on the Rank Metric."
    Master Thesis in Computer Engineering, Lehigh University, September 2005. (pdf)
  2. MG, "Algebraic Codes for Random Linear Network Coding."
    PhD Dissertation in Computer Engineering, Lehigh University, April 2009. (pdf)

Last updated: 12/09/2017