Search Results - "Marcolla, Chiara"

An Application of p-Fibonacci Error-Correcting Codes to Cryptography by Bellini, Emanuele, Marcolla, Chiara, Murru, Nadir

“…In addition to their usefulness in proving one’s identity electronically, identification protocols based on zero-knowledge proofs allow designing secure…”
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Breaking the power-of-two barrier: noise estimation for BGV in NTT-friendly rings by Di Giusto, Andrea, Marcolla, Chiara

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Survey on Fully Homomorphic Encryption, Theory, and Applications by Marcolla, Chiara, Sucasas, Victor, Manzano, Marc, Bassoli, Riccardo, Fitzek, Frank H. P., Aaraj, Najwa

“…Data privacy concerns are increasing significantly in the context of the Internet of Things, cloud services, edge computing, artificial intelligence…”
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Higher Hamming weights for locally recoverable codes on algebraic curves by Ballico, Edoardo, Marcolla, Chiara

“…We study locally recoverable codes on algebraic curves. In the first part of the manuscript, we provide a bound on the generalized Hamming weight of these…”
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On the small-weight codewords of some Hermitian codes by Marcolla, Chiara, Pellegrini, Marco, Sala, Massimiliano

“…For any affine-variety code we show how to construct an ideal whose solutions correspond to codewords with any assigned weight. We are able to obtain geometric…”
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Improved decoding of affine-variety codes by Marcolla, Chiara, Orsini, Emmanuela, Sala, Massimiliano

“…General error locator polynomials are polynomials able to decode any correctable syndrome for a given linear code. Such polynomials are known to exist for all…”
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On the Hermitian curve and its intersections with some conics by Marcolla, Chiara, Pellegrini, Marco, Sala, Massimiliano

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Advances and Challenges of Rank Metric Cryptography Implementations by Bellini, Emanuele, Caullery, Florian, Makarim, Rusydi, Manzano, Marc, Marcolla, Chiara, Mateu, Victor

“…Recent works on reducing the size of Error Correcting Codes have investigated the usage of rank metric instead of Hamming metric. Numerous proposals for the…”
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Some security bounds for the key sizes of DGHV scheme by Marinelli, Franca, Aragona, Riccardo, Marcolla, Chiara, Sala, Massimiliano

“…The correctness in decrypting a ciphertext after some operations in the DGVH scheme depends heavily on the dimension of the secret key. In this paper we…”
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Minimum-weight codewords of the Hermitian codes are supported on complete intersections by Marcolla, Chiara, Roggero, Margherita

“…Let $\mathcal{H}$ be the Hermitian curve defined over a finite field $\mathbb{F}_{q^2}$. In this paper we complete the geometrical characterization of the…”
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Hermitian codes and complete intersections by Marcolla, Chiara, Roggero, Margherita

“…In this paper we present a geometrical characterization for the minimum-weight codewords of the Hermitian codes over the fields $\mathbb{F}_{q^2}$ in the third…”
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On the decoding of 1-Fibonacci error correcting codes by Bellini, Emanuele, Marcolla, Chiara, Murru, Nadir

“…The study of new error correcting codes has raised attention in the last years, especially because of their use in cryptosystems that are resistant to attacks…”
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Higher Hamming weights for locally recoverable codes on algebraic curves by Ballico, Edoardo, Marcolla, Chiara

“…We study the locally recoverable codes on algebraic curves. In the first part of this article, we provide a bound of generalized Hamming weight of these codes…”
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Key-Policy Multi-Authority Attribute-Based Encryption by Longo, Riccardo, Marcolla, Chiara, Sala, Massimiliano

“…Algebraic Informatics, Springer LNCS, 2015, vol. 9270, p. 152-164 Bilinear groups are often used to create Attribute-Based Encryption (ABE) algorithms. In…”
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On the geometry of small weight codewords of dual algebraic geometric codes by Fontanari, Claudio, Marcolla, Chiara

“…We investigate the geometry of the support of small weight codewords of dual algebraic geometric codes on smooth complete intersections by applying the…”
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On the Hermitian curve and its intersections with some conics by Marcolla, Chiara, Pellegrini, Marco, Sala, Massimiliano

“…Finite Fields and their Applications, 2014, vol. 28, p. 166-187 We classify completely the intersections of the Hermitian curve with parabolas in the affine…”
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On the Hermitian curve, its intersections with some conics and their applications to affine-variety codes and Hermitian codes by Marcolla, Chiara, Pellegrini, Marco, Sala, Massimiliano

“…Journal of Symbolic Computation, 2016, vol. 73, p. 27-45 For any affine-variety code we show how to construct an ideal whose solutions correspond to codewords…”
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Improved decoding of affine-variety codes by Marcolla, Chiara, Orsini, Emmanuela, Sala, Massimiliano

“…Journal of Pure and Applied Algebra, 2012, vol. 216, p. 1533-1565 General error locator polynomials are polynomials able to decode any correctable syndrome for…”
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