publications

publications by year.

2024

  1. MMAS/Wiley
    Threshold secret sharing with geometric algebras
    Silva, David, Harmon, Luke, and Delavignette, Gaetan
    In Mathematical Methods in the Applied Sciences 2024

2023

  1. ACNS/Springer
    PIE: p-adic Encoding for High-Precision Arithmetic in Homomorphic Encryption
    Harmon, Luke, Delavignette, Gaetan, Roy, Arnab, and Silva, David
    In International Conference on Applied Cryptography and Network Security 2023

2021

  1. ePrint
    Leveled Fully Homomorphic Encryption Schemes with Hensel Codes
    Silva, David WHA, Harmon, Luke, Delavignette, Gaetan, and Araujo, Carlos
    Cryptology ePrint Archive 2021

2020

  1. ACG/Springer
    Homomorphic data concealment powered by clifford geometric algebra
    Silva, David WHA, Xavier, Marcelo A, Brown, Philip N, Chow, Edward, and Araujo, Carlos Paz de
    In Computer Graphics International Conference 2020
  2. IEEE/SCIS-ISIS
    Experiments with clifford geometric algebra applied to cryptography
    Silva, David WHA, Xavier, Marcelo A, Chow, C Edward, and Araujo, Carlos Paz
    In 2020 Joint 11th International Conference on Soft Computing and Intelligent Systems and 21st International Symposium on Advanced Intelligent Systems (SCIS-ISIS) 2020
  3. IJIEE
    An efficient homomorphic data encoding with multiple secret hensel codes
    Silva, DW, Araujo, Carlos Paz, and Chow, Edward
    International Journal of Information and Electronics Engineering 2020
  4. UCCS
    A Mathematical Framework Towards Efficient Clifford-Based Homomorphic Cryptosystems Using p-Adic Numbers
    Silva, David William Honorio Araujo
    International Journal of Information and Electronics Engineering 2020
  5. Patent
    WO2022006483A1 - Methods and systems for homomorphic data representation and concealment powered by clifford geometric algebra
    David W. HONORIO ARAUJO DA SILVA, Carlos A. Paz De Araujo
    International Journal of Information and Electronics Engineering 2020

2019

  1. IEEE/UEMCON
    A new approach towards fully homomorphic encryption over geometric algebra
    Silva, David WHA, Araujo, Carlos Paz, Chow, Edward, and Barillas, Bryan Sosa
    In 2019 IEEE 10th Annual Ubiquitous Computing, Electronics & Mobile Communication Conference (UEMCON) 2019
  2. IEEE/PRDC
    Fully homomorphic key update and key exchange over exterior product spaces for cloud computing applications
    Silva, David WHA, Araujo, Carlos Paz, and Chow, Edward
    In 2019 IEEE 24th Pacific Rim International Symposium on Dependable Computing (PRDC) 2019
  3. IEEE/CloudCom
    Homomorphic image processing over geometric product spaces and finite p-adic arithmetic
    Silva, David William Honorio Araujo, Oliveira, Hanes Barbosa Marques, Chow, Edward, Barillas, Bryan Sosa, and Araujo, Carlos Paz
    In 2019 IEEE International Conference on Cloud Computing Technology and Science (CloudCom) 2019
  4. Patent
    US20210036849A1 - Methods and systems for encryption and homomorphic encryption systems using geometric algebra and hensel codes
    In 2019 IEEE International Conference on Cloud Computing Technology and Science (CloudCom) 2019