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We derive a formal connection between quantum data hiding and quantum privacy, confirming the intuition behind the construction of bound entangled states from which secret bits can be extracted. We present three main results. First, we show…

Quantum Physics · Physics 2018-02-21 Matthias Christandl , Roberto Ferrara

Prime number multiplet classifications and patterns are extended to negative integers. The extension from prime numbers to single prime powers is also studied. Prime number septets at equal distance are given. It is also shown that each…

Number Theory · Mathematics 2012-03-26 H. J. Weber

Some protected password change protocols were proposed. However, the previous protocols were easily vulnerable to several attacks such as denial of service, password guessing, stolen-verifier and impersonation atacks etc. Recently, Chang et…

Cryptography and Security · Computer Science 2007-05-23 Ren-Chiun Wang , Chou-Chen Yang , Kun-Ru Mo

In this study, explicit differential equations representing commutative pairs of some well-known second-order linear time-varying systems have been derived. The commutativity of these systems are investigated by considering 30 second-order…

Systems and Control · Computer Science 2020-10-05 Mehmet Emir Koksal

In quantum theory, the modulus-square of the inner product of two normalized Hilbert space elements is to be interpreted as the transition probability between the pure states represented by these elements. A probabilistically motivated and…

Quantum Physics · Physics 2022-04-14 Gerd Niestegge

Optimization is widely used in statistics, and often efficiently delivers point estimates on useful spaces involving structural constraints or combinatorial structure. To quantify uncertainty, Gibbs posterior exponentiates the negative loss…

Methodology · Statistics 2025-07-23 Cheng Zeng , Eleni Dilma , Jason Xu , Leo L Duan

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

We introduce a natural generalization of the golden cryptography, which uses general unimodular matrices in place of the traditional Q-matrices, and prove that it preserves the original error correction properties of the encryption.…

Cryptography and Security · Computer Science 2022-06-24 Sergiy Koshkin , Taylor Styers

Oblivious transfer is a primitive of paramount importance in cryptography or, more precisely, two- and multi-party computation due to its universality. Unfortunately, oblivious transfer cannot be achieved in an unconditionally secure way…

Cryptography and Security · Computer Science 2007-05-23 Jürg Wullschleger

In this paper, we investigate properties of some multi-particle entangled states and, from the properties applying the secret sharing present a new type of quantum key distribution protocols as generalization of quantum key distribution…

Quantum Physics · Physics 2007-05-23 Sora Choi , Jinsoo Kim , Dong Pyo Chi

Public-key cryptography has become a popular way to motivate the teaching of concepts in elementary number theory, abstract algebra, and introduction to proof courses, as well as in cryptography courses. Unfortunately, many experts expect…

History and Overview · Mathematics 2022-10-11 Joshua Holden

In this paper we study a quantum version of the multiparty simultaneous message-passing (SMP) model, and we show that in some cases, quantum communication can replace public randomness, even with no entanglement between the parties. This…

Quantum Physics · Physics 2024-12-12 François Le Gall , Oran Nadler , Harumichi Nishimura , Rotem Oshman

Randomness extraction against side information is the art of distilling from a given source a key which is almost uniform conditioned on the side information. This paper provides randomness extraction against quantum side information whose…

Information Theory · Computer Science 2019-11-11 Yodai Watanabe

We had recently shown that every positive integer can be represented uniquely using a recurrence sequence, when certain restrictions on the digit strings are satisfied. We present the details of how such representations can be used to build…

Number Theory · Mathematics 2015-03-17 Nathan Hamlin , Bala Krishnamoorthy , William Webb

Exploring the symmetries underlying a previously proposed encryption scheme which relies on single-qubit rotations, we derive an improved upper bound on the maximum information that an eavesdropper might extract from all the available…

Quantum Physics · Physics 2012-03-02 U. Seyfarth , G. M. Nikolopoulos , G. Alber

Probabilistic image registration methods estimate the posterior distribution of transformation. The conventional way of interpreting the transformation posterior is to use the mode as the most likely transformation and assign its…

Computer Vision and Pattern Recognition · Computer Science 2016-04-08 Jie Luo , Karteek Popuri , Dana Cobzas , Hongyi Ding , Masashi Sugiyama

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

This paper presents a new chaining technique for the use of Hadamard transforms for encryption of both binary and non-binary data. The lengths of the input and output sequence need not be identical. The method may be used also for hashing.

Cryptography and Security · Computer Science 2010-12-21 Rohith Singi Reddy

Publicly verifiable secret sharing (PVSS) allows a dealer to share a secret among a set of shareholders so that the secret can be reconstructed later from any set of qualified participants. In addition, any public verifier should be able to…

Cryptography and Security · Computer Science 2025-11-14 Pham Nhat Minh , Khoa Nguyen , Willy Susilo , Khuong Nguyen-An

We believe that there is no real data protection without our own tools. Therefore, our permanent aim is to have more of our own codes. In order to achieve that, it is necessary that a lot of young researchers become interested in…

Cryptography and Security · Computer Science 2013-04-17 Dragan Vidakovic , Olivera Nikolic , Dusko Parezanovic , Jelena Kaljevic
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