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Related papers: New results for traitor tracing schemes

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Secure codes are widely-studied combinatorial structures which were introduced for traitor tracing in broadcast encryption. To determine the maximum size of such structures is the main research objective. In this paper, we investigate the…

Information Theory · Computer Science 2021-08-24 Bingchen Qian , Xin Wang , Gennian Ge

Frameproof codes are used to fingerprint digital data. It can prevent copyrighted materials from unauthorized use. In this paper, we study upper and lower bounds for $w$-frameproof codes of length $N$ over an alphabet of size $q$. The upper…

Information Theory · Computer Science 2014-11-24 Chong Shangguan , Xin Wang , Gennian Ge , Ying Miao

Frameproof codes are a class of secure codes that were originally introduced in the pioneering work of Boneh and Shaw in the context of digital fingerprinting. They can be used to enhance the security and credibility of digital content. Let…

Information Theory · Computer Science 2024-02-13 Miao Liu , Zengjiao Ma , Chong Shangguan

Traceability codes are combinatorial objects introduced by Chor, Fiat and Naor in 1994 to be used to trace the origin of digital content in traitor tracing schemes. Let $F$ be an alphabet set of size $q$ and $n$ be a positive integer. A…

Information Theory · Computer Science 2016-02-29 Gennian Ge , Chong Shangguan

Frameproof codes have been extensively studied for many years due to their application in copyright protection and their connection to extremal set theory. In this paper, we investigate upper bounds on the cardinality of wide-sense…

Combinatorics · Mathematics 2024-02-09 Yuhao Zhao , Xiande Zhang

The Stinson-Wei traceability scheme (known as traceability scheme) was proposed for broadcast encryption as a generalization of the Chor-Fiat-Naor traceability scheme (known as traceability code). Cover-free family was introduced by Kautz…

Information Theory · Computer Science 2016-09-28 Yujie Gu , Ying Miao

In this paper, we study upper bounds on the minimum length of frameproof codes introduced by Boneh and Shaw to protect copyrighted materials. A $q$-ary $(k,n)$-frameproof code of length $t$ is a $t \times n$ matrix having entries in…

Information Theory · Computer Science 2023-03-14 Marco Dalai , Stefano Della Fiore , Adele A. Rescigno , Ugo Vaccaro

Separable codes were defined by Cheng and Miao in 2011, motivated by applications to the identification of pirates in a multimedia setting. Combinatorially, $\overline{t}$-separable codes lie somewhere between $t$-frameproof and…

Information Theory · Computer Science 2016-11-17 Simon R. Blackburn

We propose randomized frameproof codes for content protection, which arise by studying a variation of the Boneh-Shaw fingerprinting problem. In the modified system, whenever a user tries to access his fingerprinted copy, the fingerprint is…

Information Theory · Computer Science 2008-02-26 N. Prasanth Anthapadmanabhan , Alexander Barg

In the paper "New Results on Frame-Proof Codes and Traceability Schemes" by Reihaneh Safavi-Naini and Yejing Wang [IEEE Trans. Inform. Theory, vol. 47, no. 7, pp. 3029-3033, Nov. 2001], there are lower bounds for the maximal number of…

Information Theory · Computer Science 2022-03-16 Jan-Åke Larsson , Jacob Lofvenberg

As separable code (SC, IEEE Trans Inf Theory 57:4843-4851, 2011) and frameproof code (FPC, IEEE Trans Inf Theory 44:1897-1905, 1998) do in multimedia fingerprinting, strongly separable code (SSC, Des. Codes and Cryptogr.79:303-318, 2016)…

Discrete Mathematics · Computer Science 2017-01-11 Xuli Zhang , Jing Jiang , Minquan Cheng

In this paper we consider combinatorial secure codes in traitor tracing for protecting copyright of multimedia content. First, we introduce a new notion of secure codes with list decoding (SCLDs) for collusion-resistant multimedia…

Information Theory · Computer Science 2023-02-07 Yujie Gu , Ilya Vorobyev , Ying Miao

An identifying code is a subset of vertices of a graph such that each vertex is uniquely determined by its neighbourhood within the identifying code. If $\M(G)$ denotes the minimum size of an identifying code of a graph $G$, it was…

Discrete Mathematics · Computer Science 2012-09-24 Florent Foucaud , Guillem Perarnau

In this paper, we study $w$-frameproof codes, which are equivalent to $\{1,w\}$-separating hash families. Our main results concern binary codes, which are defined over an alphabet of two symbols. For all $w \geq 3$, and for $w+1 \leq N \leq…

Information Theory · Computer Science 2014-06-27 Chuan Guo , Douglas R. Stinson , Tran van Trung

Binary $t$-frameproof codes ($t$-FPCs) are used in multimedia fingerprinting schemes where the identification of authorized users taking part in the averaging collusion attack is required. In this paper, a binary strongly…

Information Theory · Computer Science 2014-12-22 Jing Jiang , Minquan Cheng , Ying Miao

This work adopts an information theoretic framework for the design of collusion-resistant coding/decoding schemes for digital fingerprinting. More specifically, the minimum distance decision rule is used to identify 1 out of t pirates.…

Information Theory · Computer Science 2009-03-02 Shih-Chun Lin , Mohammad Shahmohammadi , Hesham El Gamal

For nonnegative integers $n_2, n_3$ and $d$, let $N(n_2,n_3,d)$ denote the maximum cardinality of a code of length $n_2+n_3$, with $n_2$ binary coordinates and $n_3$ ternary coordinates (in this order) and with minimum distance at least…

Combinatorics · Mathematics 2018-04-03 Bart Litjens

According to their strength, the tracing properties of a code can be categorized as frameproof, separating, IPP and TA. It is known that if the minimum distance of the code is larger than a certain threshold then the TA property implies the…

Information Theory · Computer Science 2021-03-04 Marcel Fernandez , Jorge Urroz

A new family of error-correcting codes, called Fourier codes, is introduced. The code parity-check matrix, dimension and an upper bound on its minimum distance are obtained from the eigenstructure of the Fourier number theoretic transform.…

Information Theory · Computer Science 2015-03-12 R. M. Campello de Souza , E. S. V. Freire , H. M. de Oliveira

The main result here is a characterisation of binary $2$-neighbour-transitive codes with minimum distance at least $5$ via their minimal subcodes, which are found to be generated by certain designs. The motivation for studying this class of…

Combinatorics · Mathematics 2018-07-27 Daniel R. Hawtin , Cheryl E. Praeger
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