Thor Martinsen, PhD

Reseach Submitted for Publication Consideration:

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16. T. Martinsen, "Non-Fisherian Fibonacci Sequences", Manuscript.

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Published Research:

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15. T. Martinsen, W. Kang, E. Kozak, P. Smith, "Robustness and Vulnerability Measurement of Deep Learning Methods for Cyber Defense, Defense Technical Information Center, December 2022.

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14. T. Martinsen, "Remarks on the Occasion of the Retirement of Distinguished Professor Guillermo Owen", Mathematica Militaris, Vol. 26, Issue 1, Article 1, December 2022.

 

13. V. Kanth, T. Martinsen, P. Stanica, "The Self-Shrinking Conflation Generator: A Proposed Improvement to the Self-Shrinking Generator," European Journal of Pure and Applied Mathematics, 15(4), pp. 1426 -1443, October 2022.

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12.  T. Martinsen, "Developing Critical Thinking Military Officers," Mathematica Militaris, Vol 25, Issue 1, Article 2, April 2022.

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11.  S. Maitra, B. Mandal, T. Martinsen, D. Roy, P. Stanica, "Analysis on Boolean function in a restricted (biased) domain," IEEE Trans. Inf. Theory 66:2 (2020), 1219- 1231.

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10.  S. Maitra, B. Mandal, T. Martinsen, D. Roy, P. Stanica, "Tools in analyzing linear approximation for Boolean functions related to FLIP," 19th International Conference on Cryptology in India, New Delhi, India, December 9–12, 2018, Proceedings.

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9.  T. Martinsen, W. Meidl, A. Pott, P. Stanica, "On symmetry and differential properties of generalized Boolean functions," in Arithmetic of Finite Fields, 7th Int. Workshop, WAIFI 2018. 

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8.  T. Martinsen, W.  Meidl, S. Mesnager, and P. Stanica, “Decomposing generalized bent and hyperbent functions,”  in IEEE Trans. Inf. Theory, vol. 63, no. 12, pp. 7804–7812, 2017.

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7.  T. Martinsen, “Correlation Immunity, Avalanche Features, and Other Cryptographic Properties of Generalized Boolean Functions,” PhD Dissertation, Naval Postgraduate School, Monterey, CA, 2017.

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6.  E.J. Ionascu, T. Martinsen, and P. Stanica, “Bisecting binomial coefficients,” Discrete Appl. Math. , vol. 227, pp. 70–83, 2017.

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5.  T. Martinsen, W. Meidl, and P. Stanica, “Partial spread and vectorial generalized bent functions, “Des. Codes Cryptogr. Vol. 85, pp. 1–13, 2017.

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4.  T. Martinsen, W. Meidl, and P. Stanica, “Generalized bent functions and their Gray images,” in Arithmetic of Finite Fields, 6th Int. Workshop, WAIFAI 2016, ser. LNCS, vol. 10064, Berlin, Springer, pp. 160–173,  2016.

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3.  T. Martinsen, P. Pace, and E.L. Fisher, “Maneuver Warfare in the Electromagnetic Battlespace, “ Journal of Electronic Defense, 10, vol. 37, no. 10, pp.30–44, 2014.

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2. P. Stanica, T. Martinsen, S. Gangopadhyay, B.K. Singh, “Bent and generalized bent Boolean functions,” Des. Codes Cryptogr., vol. 69, pp. 77–94, 2013.

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1.  T. Martinsen, Refinement composition using doubly labeled transition graphs, Master’s Thesis, Naval Postgraduate School, Monterey, CA, 2007.