Scientist Profile

Photo

Fidel R. Nemenzo

Mathematician, International Publication Award (2004)

Expertise: Mathematics, Philosophy Of Science, History of Science, Mathematics Education, Philosophy Of Mathematics, Number Theory, Elliptic curves, and Algebraic Coding Theory, : Discrete Mathematics, Probability, Algorithms & Theory

Affiliation

Professor, Institute of Mathematics, University of the Philippines, Diliman, Quezon City

Associate Professor (1992 – Present (22 years), University of the Philippines, Diliman, Quezon City

Award

    • International Publication Award, University of the Philippines, 2004

Research

    • Mass formula for self-dual codes over Zp2 Submitted to the journal Discrete Mathematics. [Completed]
    • Computations on congruent number elliptic curves [On-going]

Papers Presented

    • The Tate-Shafarevich and Selmer Groups of the elliptic curve V=x (x - n) (x + n) in Mathematics, Silang, Cavite, October 2003., 5th Sino-Philippines Symposium
    • Diophantine Equations and Hilbert's Tenth Problem, 2004 Annual Convention of the Mathematical Socie~ of the Philippines, Silliman University, May 2004

Education

    • Sophia University, Japan, D.Sc., mathematics

Publication

    • Nemenzo, F., (2004) On a theorem of Scholz on the class number of quadratic fields
    • Proc.2004
    • Nemenzo, F., (2004) Type II codes over F2m+ uF2m.
    • Discrete Mathematics Volume 275
    • K. Nagata, F. Nemenzo and H. Wada, (2009) On self-dual codes over Z16 . (book chapter in) Applied Algebra, Algebraic Algorithms and error-Correcting Codes
    • Lecture Notes in Computer Science Volume 5527
    • Nagata, K., Nemenzo, F., and H. Wada, H., (2009) The number of self-dual codes over Zp3
    • Designs, Codes and Cryptography Volume 50, No. 3
    • Amarra, M.C., Nemenzo, F., (2008) On (1-u)?cyclic codes over Fpk + uFpk
    • Applied Mathematics Letters Volume 21
    • Balmaceda, J.M., Betty, R.A., Nemenzo, F., (2008) Mass formula for self-dual codes over Zp2
    • Discrete Mathematics Volume 308
    • Nemenzo, F., (2004) On a theorem of Scholz on the class number of quadratic fields
    • Proceedings of the Japan Academy 80A
    • Betsumiya, K., Ling, S., Nemenzo, F., (2004) Type II codes over F2m + uF2m
    • Discrete Mathematics Volume 275
    • Nagata, K., Nemenzo, F., Wada, H., (2008) A constructive algorithm of self-dual error-correcting codes
    • Proceedings of the 11th International Workshop on Algebraic and Combinatorial Coding Theory, 16-22 June 2008, Pamporovo, Bulgaria
    • Nemenzo, F., Wada, H., (2006) Classification of codes over finite rings
    • Proceedings of the Annual Conference of the PCUA (Personal Computers? Users Association of Japan), 10 March 2006, Tokyo, Japan
    • Caranay, P., Nemenzo, F., (2004) A note on Scholz? biquadratic reciprocity law
    • Matimyas Matematika Volume 27, No. 1-3

Trainings

    • Annual Conference of the PCUA (Personal Computers? Users Association of Japan), 2006 Mr 10, Tokyo, Japan
    • 11th International Workshop on Algebraic and Combinatorial Coding Theory, 2008 Je 16-22, Pamporovo, Bulgaria