Selected subjects taught

• Math 297 (Coding Theory)
• Math 197 (Coding Theory)
• Math 117 (Elementary Number Theory)
• Math 110.3 (Abstract Algebra III)
• Math 110.1 (Abstract Algebra I)
• Math 40 (Linear Algebra)
• Math 20 series (Elementary Analysis)
• Math 2 (Mathematics in Everyday Life)

Current graduate students

• Pilongo, Jupiter (co-adviser)
• Gomisong, Dianne
• Hernandez, Gemaica Marie

Current undergraduate student

• Jaime, Paul Christian

• Alahmadi, A., Alshuhail, A., Betty, R. A., Galvez, L., & Solé, P. The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring. Mathematics, 12(6), 862, (2024)
• Alahmadi, A., Alihia, T., Alma Betty, R., Galvez, L., & Solé, P. The Build-Up Construction for Codes over a Commutative Non-Unitary Ring of Order 9. Mathematics, 12(6), 860, (2024)
• Alahmadi, A., Alshuhail, A., Betty, R. A., Galvez, L., & Solé, P. Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four. Mathematics, 11(23), 4736, (2023)
• Kim, J., Kim, Y., Galvez, L.E., Kim, M. J. A modified Dual-Ouroboros public-key encryption using Gabidulin codes. AAECC, (32), 147-156, (2021).
• Galvez, L.E., Betty, R.A., Nemenzo, F. Self-orthogonal Codes over \(\mathbb{F}_q +u \mathbb{F}_q\) and \( \mathbb{F}_q +u\mathbb{F}_q + u^2 \mathbb{F}_q\). European Journal of Pure and Applied Mathematics, 13(4), 873-892, (2020)
• Galvez, L.E., Kim, J. Construction of self-dual matrix codes. Des. Codes Cryptogr. (88),1541-1560, (2020)
• Galvez, L., Kim, J.-L. Projection Decoding of Some Binary Optimal Linear Codes of Lengths 36 and 40. Mathematics, 8(1), 15, (2020)
• Gaborit, P., Galvez, L., Hauteville, A., Kim, J.-L., Kim, M. J., Kim, Y.-S. Dual-Ouroboros: An improvement of the McNie scheme. Advances in Mathematics of Communications, (14)2, 301-306, (2020)
• Galvez, L., Kim, J.-L., Lee, N., Roe, Y.G. and Won, B.-S.: Some bounds on binary LCD codes, Cryptography and Communications, 10(4), 719-728, (2018)
• Kim, J.-L., Galvez, L., Kim, Y.-S. and Lee, N.: A New LRPC-Kronecker product codes based public-key cryptography. In: Proceedings of APKC’18: 5th ACM ASIA Public-Key Cryptography Workshop, June 4, 2018, Incheon, Republic of Korea. ACM, New York, NY, USA