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Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions…

Cryptography and Security · Computer Science 2019-04-23 P. Hecht

Cold boot attacks inspect the corrupted random access memory soon after the power has been shut down. While most of the bits have been corrupted, many bits, at random locations, have not. Since the keys in many encryption schemes are being…

Cryptography and Security · Computer Science 2021-06-10 Itamar Zimerman , Eliya Nachmani , Lior Wolf

We present several quantum public-key encryption (QPKE) protocols designed with conjugate coding single-photon string, thus may be realized in laboratory with nowadays techniques. Two of these schemes are orienting one-bit message, and are…

Quantum Physics · Physics 2013-04-22 Li Yang , Biyao Yang , Chong Xiang

We show that a previously introduced key exchange based on a congruence-simple semiring action is not secure by providing an attack that reveals the shared key from the distributed public information for any of such semirings

Cryptography and Security · Computer Science 2024-02-16 Otero Sanchez Alvaro , Lopez Ramos Juan Antonio

The interesting properties of classical Goppa code and its effective decoding algorithm (algorithm of patterson) make the most appropriate candidate for use in the MC Eliece cryptosystem. Information leakage which results from the…

Cryptography and Security · Computer Science 2014-03-11 Ahmed Drissi , Ahmed Asimi

A new computational private information retrieval (PIR) scheme based on random linear codes is presented. A matrix of messages from a McEliece scheme is used to query the server with carefully chosen errors. The server responds with the sum…

Information Theory · Computer Science 2020-05-15 Lukas Holzbaur , Camilla Hollanti , Antonia Wachter-Zeh

In this paper, we propose to use a skew dihedral group ring given by the group $D_{2n}$ and the finite field $\mathbb{F}_{q^2}$ for public-key cryptography. Using the ambient space $\mathbb{F}_{q^{2}}^{\theta} D_{2n}$ and a group…

Cryptography and Security · Computer Science 2022-05-09 Javier de la Cruz , Edgar Martínez-Moro , Ricardo Villanueva-Polanco

The Anshel-Anshel-Goldfeld-Lemieux (abbreviated AAGL) key agreement protocol is proposed to be used on low-cost platforms which constraint the use of computational resources. The core of the protocol is the concept of an Algebraic Eraser…

Group Theory · Mathematics 2008-02-01 Alex D. Myasnikov , Alexander Ushakov

We solve an open question in code-based cryptography by introducing two provably secure group signature schemes from code-based assumptions. Our basic scheme satisfies the CPA-anonymity and traceability requirements in the random oracle…

Cryptography and Security · Computer Science 2020-02-19 Martianus Frederic Ezerman , Hyung Tae Lee , San Ling , Khoa Nguyen , Huaxiong Wang

T-310 is a cipher that was used for encryption of governmental communications in East Germany during the final years of the Cold War. Due to its complexity and the encryption process,there was no published attack for a period of more than…

Cryptography and Security · Computer Science 2019-01-23 Marios Georgiou

We introduce a new approach for cryptanalysis of key agreement protocols based on noncommutative groups. This approach uses functions that estimate the distance of a group element to a given subgroup. We test it against the…

Cryptography and Security · Computer Science 2010-11-05 Dima Ruinskiy , Adi Shamir , Boaz Tsaban

The length-based approach is a heuristic for solving randomly generated equations in groups which possess a reasonably behaved length function. We describe several improvements of the previously suggested length-based algorithms, that make…

Cryptography and Security · Computer Science 2010-08-02 Dima Ruinskiy , Adi Shamir , Boaz Tsaban

New cryptographic techniques such as homomorphic encryption (HE) allow computations to be outsourced to and evaluated blindfolded in a resourceful cloud. These computations often require private data owned by multiple participants, engaging…

Cryptography and Security · Computer Science 2020-08-13 Asma Aloufi , Peizhao Hu , Yongsoo Song , Kristin Lauter

Two variations of the McEliece cryptosystem are presented. The first one is based on a relaxation of the column permutation in the classical McEliece scrambling process. This is done in such a way that the Hamming weight of the error, added…

The braid group is an important non commutative group, at the same time, it is an important tool in quantum field theory with better topological structure, and often used as a research carrier for anti-quantum cryptographic algorithms. This…

Cryptography and Security · Computer Science 2019-10-11 Xiaoming Chen , Weiqing You , Meng Jiao , Kejun Zhang , Shuang Qing , Zhiqiang Wang

Several recently proposed code-based cryptosystems base their security on a slightly generalized version of the classical (syndrome) decoding problem. Namely, in the so-called restricted (syndrome) decoding problem, the error values stem…

Cryptography and Security · Computer Science 2023-06-09 Marco Baldi , Sebastian Bitzer , Alessio Pavoni , Paolo Santini , Antonia Wachter-Zeh , Violetta Weger

We give a decoding algorithm for a class of error-correcting codes, which can be used in the DHH-cryptosystem, which is a candidate for post-quantum cryptography, since it is of McEliece type. Furthermore, we implement the encryption and…

Cryptography and Security · Computer Science 2023-03-20 Carolin Hannusch , Giuseppe Filippone

One of the possible generalizations of the discrete logarithm problem to arbitrary groups is the so-called conjugacy search problem (sometimes erroneously called just the conjugacy problem): given two elements a, b of a group G and the…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain

We construct a public-key encryption scheme from the hardness of the (planted) MinRank problem over uniformly random instances. This corresponds to the hardness of decoding random linear rank-metric codes. Existing constructions of…

Cryptography and Security · Computer Science 2025-10-07 Rohit Chatterjee , Changrui Mu , Prashant Nalini Vasudevan

Recently, a few chosen-ciphertext secure (CCA2-secure) variants of the McEliece public-key encryption (PKE) scheme in the standard model were introduced. All the proposed schemes are based on encryption repetition paradigm and use general…

Cryptography and Security · Computer Science 2013-09-10 Roohallah Rastaghi