Publications
Academic book chapter
- Augustin Bariant; Irati Ayala; Morten Øygarden et al. (2024). The Algebraic FreeLunch: Efficient Gröbner Basis Attacks Against Arithmetization-Oriented Primitives. (external link)
- Augustin Bariant; Aurélien Boeuf; Pierre Akli Louis Briaud et al. (2025). Improved Resultant Attack Against Arithmetization-Oriented Primitives. (external link)
Academic article
- Ward Beullens; Pierre Briaud; Morten Øygarden (2024). A Security Analysis of Restricted Syndrome Decoding Problems. (external link)
- Morten Øygarden; Patrick Felke; Håvard Raddum (2024). Analysis of Multivariate Encryption Schemes: Application to Dob and C*. (external link)
- Fukang Liu; Mohammad Mahzoun; Morten Øygarden et al. (2023). Algebraic Attacks on RAIN and AIM Using Equivalent Representations. (external link)
- Morten Øygarden; Sofia Tirabassi (2020). Theta-regularity and log-canonical threshold. (external link)
Conference lecture
- Augustin Bariant; Irati Ayala; Morten Øygarden et al. (2024). The Algebraic Freelunch: Efficient Gröbner Basis Attacks Against Arithmetization-Oriented Primitives. (external link)
- Lorenzo Grassi; Irati Ayala; Martha Hovd et al. (2023). Cryptanalysis of Symmetric Primitives over Rings and a Key Recovery Attack on Rubato. (external link)
- Pierre Briaud; Morten Øygarden (2023). A New Algebraic Approach to the Regular Syndrome Decoding Problem and Implications for PCG Constructions. (external link)
- Lorenzo Grassi; Morten Øygarden (2023). From Farfalle to Megafono via Ciminion: The PRF Hydra for MPC Applications. (external link)
- Morten Øygarden; Daniel Smith-Tone (2021). On the Effect of Projection on Rank Attacks in Multivariate Cryptography. (external link)
- Morten Øygarden; Håvard Raddum; Patrick Felke (2021). Analysis of Multivariate Encryption Schemes: Application to Dob. (external link)
- Maria Eichlseder; Morten Øygarden (2020). An Algebraic Attack on Ciphers with Low-Degree Round Functions: Application to Full MiMC. (external link)
- Morten Øygarden; Patrick Felke; Håvard Raddum et al. (2020). Cryptanalysis of the Multivariate Encryption Scheme EFLASH. (external link)