Search Results - "Mesnager, Sihem"

Recent results and problems on constructions of linear codes from cryptographic functions by Li, Nian, Mesnager, Sihem

“…Linear codes have a wide range of applications in the data storage systems, communication systems, consumer electronics products since their algebraic…”
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On the boomerang uniformity of quadratic permutations by Mesnager, Sihem, Tang, Chunming, Xiong, Maosheng

“…At Eurocrypt’18, Cid, Huang, Peyrin, Sasaki, and Song introduced a new tool called Boomerang Connectivity Table (BCT) for measuring the resistance of a block…”
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New constructions of constant dimension subspace codes with large sizes by Li, Yun, Liu, Hongwei, Mesnager, Sihem

“…Subspace codes have important applications in random network coding. It is a classical problem to construct subspace codes where both their size and their…”
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On generalized hyper-bent functions by Mesnager, Sihem

“…Hyper-bent Boolean functions were introduced in 2001 by Youssef and Gong (and initially proposed by Golomb and Gong in 1999 as a component of S-boxes) to…”
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On a class of permutation rational functions involving trace maps by Chen, Ruikai, Mesnager, Sihem

“…Permutation rational functions over finite fields have attracted high interest in recent years. However, only a few of them have been exhibited. This article…”
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New Characterization and Parametrization of LCD Codes by Carlet, Claude, Mesnager, Sihem, Tang, Chunming, Qi, Yanfeng

“…Linear complementary dual (LCD) cyclic codes were referred historically to as reversible cyclic codes, which had applications in data storage. Due to a newly…”
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Constructions of Optimal Uniform Wide-Gap Frequency-Hopping Sequences by Li, Peihua, Fan, Cuiling, Mesnager, Sihem, Yang, Yang, Zhou, Zhengchun

“…In frequency hopping (FH) communication systems, frequency hopping sequences (FHSs) are crucial in determining the system's anti-jamming performance. If FHSs…”
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The c -Differential-Linear Connectivity Table of Vectorial Boolean Functions by Eddahmani, Said, Mesnager, Sihem

“…Vectorial Boolean functions and codes are closely related and interconnected. On the one hand, various requirements of binary linear codes are needed for their…”
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New Constructions of Optimal Locally Recoverable Codes via Good Polynomials by Liu, Jian, Mesnager, Sihem, Chen, Lusheng

“…In recent literature, a family of optimal linear locally recoverable codes (LRC codes) that attain the maximum possible distance (given code length,…”
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Constructions of optimal locally recoverable codes via Dickson polynomials by Liu, Jian, Mesnager, Sihem, Tang, Deng

“…In 2014, Tamo and Barg have presented in a very remarkable paper a family of optimal linear locally recoverable codes (LRC codes) that attain the maximum…”
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A new class of bent and hyper-bent Boolean functions in polynomial forms by Mesnager, Sihem

“…Bent functions are maximally nonlinear Boolean functions and exist only for functions with even number of inputs. This paper is a contribution to the…”
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Constructions of two-dimensional Z-complementary array pairs with large ZCZ ratio by Zhang, Hui, Fan, Cuiling, Mesnager, Sihem

“…Two-dimensional (2-D) Z-complementary array pair (ZCAP) is a pair of 2-D arrays, whose 2-D autocorrelation sum gives zero value at all time shifts in a zone…”
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Explicit values of the DDT, the BCT, the FBCT, and the FBDT of the inverse, the gold, and the Bracken-Leander S-boxes by Eddahmani, Said, Mesnager, Sihem

“…The inverse, the Gold, and the Bracken-Leander functions are crucial for building S-boxes of block ciphers with good cryptographic properties in symmetric…”
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A construction method of balanced rotation symmetric Boolean functions on arbitrary even number of variables with optimal algebraic immunity by Mesnager, Sihem, Su, Sihong, Zhang, Hui

“…Rotation symmetric Boolean functions incorporate a super-class of symmetric functions which represent an attractive corpus for computer investigation. These…”
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Decomposing Generalized Bent and Hyperbent Functions by Martinsen, Thor, Meidl, Wilfried, Mesnager, Sihem, Stanica, Pantelimon

“…In this paper, we introduce generalized hyperbent functions from F 2 n to ℤ 2 k , and investigate decompositions of generalized (hyper)bent functions. We show…”
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Evaluation of weil sums for some polynomials and associated quadratic forms by Chen, Ruikai, Mesnager, Sihem

“…We study polynomials as quadratic forms over finite fields of odd characteristic. For these polynomials, we establish a connection between a kind of character…”
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Further projective binary linear codes derived from two-to-one functions and their duals by Mesnager, Sihem, Qian, Liqin, Cao, Xiwang

“…Binary linear codes with few weights have wide applications in communication, secret sharing schemes, authentication codes, association schemes, strongly…”
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Survey on recent trends towards generalized differential and boomerang uniformities by Mesnager, Sihem, Mandal, Bimal, Msahli, Mounira

“…Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block and stream ciphers and cryptographic hash functions. The discovery…”
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On constructions of weightwise perfectly balanced Boolean functions by Mesnager, Sihem, Su, Sihong

“…The recent FLIP cipher is an encryption scheme described by Méaux et al. at the conference EUROCRYPT 2016. It is based on a new stream cipher model called the…”
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Optimal quaternary (r,δ)-locally recoverable codes: their structures and complete classification by Xu, Li, Zhou, Zhengchun, Zhang, Jun, Mesnager, Sihem

“…Locally recoverable codes (LRCs) have been introduced as a family of erasure codes that support the repair of a failed storage node by contacting a small…”
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