Search Results - "Algebraic coding theory"

Algebraic Coding Theory Using Pell Equation x2 − 8y2 = 1 by Janaki, G, Gowri, Shankari A

“…An interdisciplinary field with significant practical use is cryptography. The difficulty of specific mathematical computing tasks affects a public key…”
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Identity based identification from algebraic coding theory by Yang, Guomin, Tan, Chik How, Mu, Yi, Susilo, Willy, Wong, Duncan S.

“… This paper focuses on the design and analysis of identity based identification (IBI) schemes based on algebraic coding theory…”
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Special issue algebraic coding theory and applications by Campillo, Antonio, Fitzpatrick, Patrick, Martínez-Moro, Edgar, Pellikaan, Ruud

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Topics in Algebraic Graph Theory and Algebraic Coding Theory by Sorci, Julien

“… The second topic is on algebraic coding theory. First, we study a family of low-density parity-check codes derived from an incidence system called the linear representation of a set…”
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Foundations of Algebraic Coding Theory by Dougherty, Steven T.

“…We shall describe the foundations of algebraic coding theory. We shall describe how the classical theory of algebraic codes transformed to include code over rings and codes in spaces with non-Hamming metrics…”
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A signature algorithm based on chaotic maps and factoring problems by Tahat, Nedal, Shatnawi, Mohd Taib, Shatnawi, Safaa, Ababneh, O. Y., Al-Hazaimeh, Obaida M.

“…There has been a great deal of interest in researching the behavior of chaotic systems over the past decade. They are distinguished by their sensitivity to…”
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New constructions of abelian non-cyclic orbit codes based on parabolic subgroups and tensor products by Askary, Soleyman, Biranvand, Nader, Shirjian, Farrokh

“…Orbit codes, as special constant dimension subspace codes, have attracted much attention due to their applications for error correction in random network…”
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Some Applications of the Fourier Transform in Algebraic Coding Theory by Wood, Jay A.

“…This expository article describes two uses of the Fourier transform of interest in algebraic coding theory…”
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New constructions of orbit codes based on imprimitive wreath products and wreathed tensor products by Askary, Soleyman, Biranvand, Nader, Shirjian, Farrokh

“…Orbit codes, as special constant dimension codes, have attracted much attention due to their applications for error correction in random network coding. They…”
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Algebraic quantum codes: linking quantum mechanics and discrete mathematics by Grassl, Markus

“…We discuss the connection between quantum error-correcting codes (QECCS) and algebraic coding theory…”
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Efficient multivariate low-degree tests via interactive oracle proofs of proximity for polynomial codes by Augot, Daniel, Bordage, Sarah, Nardi, Jade

“…We consider the proximity testing problem for error-correcting codes which consist in evaluations of multivariate polynomials either of bounded individual…”
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Johnson graph codes by Duursma, Iwan, Li, Xiao

“…Array codes are the preferred codes for distributed storage, such that different rows in an array are stored at different nodes. Layered codes use a sparse…”
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Low-rank parity-check codes over Galois rings by Renner, Julian, Neri, Alessandro, Puchinger, Sven

“…Low-rank parity-check (LRPC) codes are rank-metric codes over finite fields, which have been proposed by Gaborit et al. (Proceedings of the workshop on coding…”
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Nearly optimal robust secret sharing by Cheraghchi, Mahdi

“…We prove that a known general approach to improve Shamir’s celebrated secret sharing scheme; i.e., adding an information-theoretic authentication tag to the…”
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Algebra and coding theory : virtual conference in honor of Tariq Rizvi, Noncommutative rings and their Applications VII, July 5-7, 2021, Université d'Artois, Lens, France : virtual conference on Quadratic forms, rings and codes, July 8, 2021, Université d'Artois, Lens, France by Noncommutative Rings and Their Applications (Conference), Virtual Conference on Quadratic Forms, Rings and Codes, Leroy, Andre (Andre Gerard), Jain, S. K. (Surender Kumar)

“…This volume contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, in honor of Tariq Rizvi, held from July 5-7,…”
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Explicit Full Correlation Distribution of Sequence Families Using Plateaued Functions by Boztas, Serdar, Ozbudak, Ferruh, Tekin, Eda

“…The design of code division multiple access sequence families dates back to the Gold sequences from the 1960s. Since then there has been a number of different…”
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An efficient self-certified multi-proxy signature scheme based on elliptic curve discrete logarithm problem by Tahat, Nedal, Alomari, A. K., Al-Hazaimeh, Obaida M., Al-Jamal, Mohammad F.

“…Multi-proxy signature schemes (MPSS) allow n proxy signers to generate a valid signature on behalf of the original signer. A new efficient self-certified MPSS…”
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Arithmetic geometry : computation and applications : 16th International Conference, Arithmetic, Geometry, Cryptography, and Coding Theory, June 19-23, 2017, Centre International de Rencontres Mathématiques, Marseille, France by International Conference "Arithmetic, Geometry, Cryptography and Coding Theory", Aubry, Yves, Howe, Everett W., Ritzenthaler, Christophe

“…For thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers to Marseille…”
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Correcting Grain-Errors in Magnetic Media by Gabrys, Ryan, Yaakobi, Eitan, Dolecek, Lara

“…This paper studies new bounds and code constructions that are applicable to the combinatorial granular channel model previously introduced by Sharov and Roth…”
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Arithmetic, geometry, cryptography, and coding theory 2021 : 18th International Conference, Arithmetic, Geometry, Cryptography, and Coding Theory, May 31-June 4, 2021, Centre international de rencontres mathématiques, Marseille, France by International Conference "Arithmetic, Geometry, Cryptography and Coding Theory", Anni, Samuele, Karemaker, Valentijn, Lorenzo García, Elisa

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