On the (M)iNTRU assumption in the integer case

in Qiong, Huang; Yu, Yu (Eds.) Provable and Practical Security, 15th International Conference, ProvSec 2021, Guangzhou, November 5 – November 8, 2021, Proceedings (2021, November 02)

In AsiaCrypt 2019, Genise, Gentry, Halevi, Li and Micciancio put forth two novel and intriguing computational hardness hypotheses: The inhomogeneous NTRU (iNTRU) assumption and its matrix version MiNTRU ... [more ▼]

In AsiaCrypt 2019, Genise, Gentry, Halevi, Li and Micciancio put forth two novel and intriguing computational hardness hypotheses: The inhomogeneous NTRU (iNTRU) assumption and its matrix version MiNTRU. In this work, we break the integer case of the iNTRU assumption through elementary lattice reduction, and we describe how the attack might be generalized to polynomial rings and to the low dimensional MiNTRU assumption with small noise. [less ▲]

Adaptively Secure Laconic Function Evaluation for NC1

E-print/Working paper (2021)

Robust Encryption, Extended

in Matsui, Mitsuru (Ed.) The Cryptographers' Track at the RSA Conference 2019, San Francisco, CA, USA, March 4–8, 2019, Proceedings (2019, March 01)

Robustness is a notion often tacitly assumed while working with encrypted data. Roughly speaking, it states that a ciphertext cannot be decrypted under different keys. Initially formalized in a public-key ... [more ▼]

Robustness is a notion often tacitly assumed while working with encrypted data. Roughly speaking, it states that a ciphertext cannot be decrypted under different keys. Initially formalized in a public-key context, it has been further extended to key-encapsulation mechanisms, and more recently to pseudorandom functions, message authentication codes and authenticated encryption. In this work, we motivate the importance of establishing similar guarantees for functional encryption schemes, even under adversarially generated keys. Our main security notion is intended to capture the scenario where a ciphertext obtained under a master key (corresponding to Authority 1) is decrypted by functional keys issued under a different master key (Authority 2). Furthermore, we show there exist simple functional encryption schemes where robustness under adversarial key-generation is not achieved. As a secondary and independent result, we formalize robustness for digital signatures – a signature should not verify under multiple keys – and point out that certain signature schemes are not robust when the keys are adversarially generated. We present simple, generic transforms that turn a scheme into a robust one, while maintaining the original scheme’s security. For the case of public-key functional encryption, we look into ciphertext anonymity and provide a transform achieving it. [less ▲]

New Constructions of Verifiable Delay Functions

E-print/Working paper (n.d.)