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In this paper we construct a subclass of the composite access structure introduced by Mart\'inez et al. based on schemes realizing the structure given by the set of codewords of minimal support of linear codes. This class enlarges the…

Information Theory · Computer Science 2012-11-26 Irene Márquez-Corbella , Edgar Martínez-Moro , Emilio Suárez-Canedo

In this paper will be presented methodology of encoding information in valuations of discrete lattice with some translational invariant constrains in asymptotically optimal way. The method is based on finding statistical description of such…

Information Theory · Computer Science 2008-11-02 Jarek Duda

We consider secure computation of randomized functions between two users, where both the users (Alice and Bob) have inputs, Alice sends a message to Bob over a rate-limited, noise-free link, and then Bob produces the output. We study two…

Information Theory · Computer Science 2017-05-22 Deepesh Data , Vinod M. Prabhakaran

Direct sum masking (DSM) has been proposed as a counter-measure against side-channel attacks (SCA) and fault injection attacks (FIA), which are nowadays important domains of cryptanalysis. DSM needs two linear codes whose sum is direct and…

Information Theory · Computer Science 2018-09-26 Claude Carlet , Chengju Li , Sihem Mesnager

Motivated by the duplication-correcting problem for data storage in live DNA, we study the construction of constant-weight codes in $\ell_1$-metric. By using packings and group divisible designs in combinatorial design theory, we give…

Information Theory · Computer Science 2020-10-12 Tingting Chen , Yiming Ma , Xiande Zhang

We introduce and explicitly construct a quantum code we coin a "Pauli Manipulation Detection" code (or PMD), which detects every Pauli error with high probability. We apply them to construct the first near-optimal codes for two tasks in…

Quantum Physics · Physics 2024-06-13 Thiago Bergamaschi

We propose a new randomized ensemble technique with a provable security guarantee against black-box transfer attacks. Our proof constructs a new security problem for random binary classifiers which is easier to empirically verify and a…

Machine Learning · Computer Science 2020-02-25 Kevin Shi , Daniel Hsu , Allison Bishop

We consider the problem of false data injection attacks modeled as additive disturbances in various parts of a general LTI feedback system and derive necessary and sufficient conditions for the existence of stealthy unbounded attacks. We…

Systems and Control · Computer Science 2017-07-19 Nabil H. Hirzallah , Petros G. Voulgaris

A set of linearly constrained permutation matrices are proposed for constructing a class of permutation codes. Making use of linear constraints imposed on the permutation matrices, we can formulate a minimum Euclidian distance decoding…

Information Theory · Computer Science 2015-03-17 Tadashi Wadayama , Manabu Hagiwara

A system is offered for imitation resistant transmitting of encrypted information in wireless communication networks on the basis of redundant residue polynomial codes. The particular feature of this solution is complexing of methods for…

Cryptography and Security · Computer Science 2018-09-10 Dmitry Samoylenko , Mikhail Eremeev , Oleg Finko , Sergey Dichenko

For the past decades, linear codes with few weights have been widely studied, since they have applications in space communications, data storage and cryptography. In this paper, a class of binary linear codes is constructed and their weight…

Information Theory · Computer Science 2016-02-03 Fei Li , Yang Yan , Qiuyan Wang , Tongjiang Yan

We propose a new model of steganography based on a list of pseudo-randomly sorted sequences of characters. Given a list $L$ of $m$ columns containing $n$ distinct strings each, with low or no semantic relationship between columns taken two…

Cryptography and Security · Computer Science 2017-03-08 Rene Ndoundam , Stephane Gael R. Ekodeck

In this paper, we use linear codes to study zero-error Slepian-Wolf coding of a set of sources with deviation symmetry, where the sources are generalization of the Hamming sources over an arbitrary field. We extend our previous codes,…

Information Theory · Computer Science 2013-08-06 Rick Ma , Samuel Cheng

In the present paper we introduce and study finite point subsets of a special kind, called optimum distributions, in the n-dimensional unit cube. Such distributions are closely related with known (delta,s,n)-nets of low discrepancy. It…

Combinatorics · Mathematics 2007-07-16 M. M. Skriganov

This work continues the study of linear error correcting codes against adversarial insertion deletion errors (insdel errors). Previously, the work of Cheng, Guruswami, Haeupler, and Li \cite{CGHL21} showed the existence of asymptotically…

Information Theory · Computer Science 2023-03-31 Kuan Cheng , Zhengzhong Jin , Xin Li , Zhide Wei , Yu Zheng

We consider a group of $m$ trusted and authenticated nodes that aim to create a shared secret key $K$ over a wireless channel in the presence of an eavesdropper Eve. We assume that there exists a state dependent wireless broadcast channel…

Cryptography and Security · Computer Science 2016-04-11 Mahdi Jafari Siavoshani , Shaunak Mishra , Christina Fragouli , Suhas N. Diggavi

Constacyclic codes are important classes of linear codes that have been applied to the construction of quantum codes. Six new families of asymmetric quantum codes derived from constacyclic codes are constructed in this paper. Moreover, the…

Information Theory · Computer Science 2014-04-01 Liqi Wang , Shixin Zhu

We consider coding schemes for computationally bounded channels, which can introduce an arbitrary set of errors as long as (a) the fraction of errors is bounded with high probability by a parameter $p$ and (b) the process which adds the…

Information Theory · Computer Science 2013-03-01 Venkatesan Guruswami , Adam Smith

Secure communication with feedback is studied. An achievability scheme in which the backward channel is used to generate a shared secret key is proposed. The scenario of binary symmetric forward and backward channels is considered, and a…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , D. Richard Brown , H. Vincent Poor

We introduce an algorithm that conjectures the structure of a permutation class in the form of a disjoint cover of "rules"; similar to generalized grid classes. The cover is usually easily verified by a human and translated into an…

Combinatorics · Mathematics 2017-05-12 Christian Bean , Bjarki Gudmundsson , Henning Ulfarsson
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