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Implementing Grover oracles for quantum key search on AES and LowMC [article]

Samuel Jaques, Michael Naehrig, Martin Roetteler, Fernando Virdia
<span title="2019-10-03">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Grover's search algorithm gives a quantum attack against block ciphers by searching for a key that matches a small number of plaintext-ciphertext pairs. This attack uses O(√(N)) calls to the cipher to search a key space of size N. Previous work in the specific case of AES derived the full gate cost by analyzing quantum circuits for the cipher, but focused on minimizing the number of qubits. In contrast, we study the cost of quantum key search attacks under a depth restriction and introduce
more &raquo; ... iques that reduce the oracle depth, even if it requires more qubits. As cases in point, we design quantum circuits for the block ciphers AES and LowMC. Our circuits give a lower overall attack cost in both the gate count and depth-times-width cost models. In NIST's post-quantum cryptography standardization process, security categories are defined based on the concrete cost of quantum key search against AES. We present new, lower cost estimates for each category, so our work has immediate implications for the security assessment of post-quantum cryptography. As part of this work, we release Q# implementations of the full Grover oracle for AES-128, -192, -256 and for the three LowMC instantiations used in Picnic, including unit tests and code to reproduce our quantum resource estimates. To the best of our knowledge, these are the first two such full implementations and automatic resource estimations.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1910.01700v1">arXiv:1910.01700v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5qw7ja66zve6foosmveueiqz2a">fatcat:5qw7ja66zve6foosmveueiqz2a</a> </span>
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Implementing Rlwe-Based Schemes Using An Rsa Co-Processor

Martin R. Albrecht, Christian Hanser, Andrea Höller, Thomas Pöppelmann, Fernando Virdia, Andreas Wallner
<span title="2018-10-16">2018</span> <i title="Zenodo"> Zenodo </i> &nbsp;
We repurpose existing RSA/ECC co-processors for (ideal) lattice-based cryptography by exploiting the availability of fast long integer multiplication. Such co-processors are deployed in smart cards in passports and identity cards, secured microcontrollers and hardware security modules (HSM). In particular, we demonstrate an implementation of a variant of the Module-LWE-based Kyber Key Encapsulation Mechanism (KEM) that is tailored for optimal performance on a commercially available smart card
more &raquo; ... ip (SLE 78). To benefit from the RSA/ECC co-processor we use Kronecker substitution in combination with schoolbook and Karatsuba polynomial multiplication. Moreover, we speed-up symmetric operations in our Kyber variant using the AES co-processor to implement a PRNG and a SHA-256 co-processor to realise hash functions. This allows us to execute CCA-secure Kyber768 key generation in 79.6ms, encapsulation in 102.4 ms and decapsulation in 132.7 ms.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5281/zenodo.1486565">doi:10.5281/zenodo.1486565</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vuj3jabg75b3dnqtn72wpv5pwe">fatcat:vuj3jabg75b3dnqtn72wpv5pwe</a> </span>
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Revisiting the Expected Cost of Solving uSVP and Applications to LWE [chapter]

Martin R. Albrecht, Florian Göpfert, Fernando Virdia, Thomas Wunderer
<span title="">2017</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Reducing the Learning with Errors problem (LWE) to the Unique-SVP problem and then applying lattice reduction is a commonly relied-upon strategy for estimating the cost of solving LWE-based constructions. In the literature, two different conditions are formulated under which this strategy is successful. One, widely used, going back to Gama & Nguyen's work on predicting lattice reduction (Eurocrypt 2008) and the other recently outlined by Alkim et al. (USENIX 2016). Since these two estimates
more &raquo; ... ict significantly different costs for solving LWE parameter sets from the literature, we revisit the Unique-SVP strategy. We present empirical evidence from lattice-reduction experiments exhibiting a behaviour in line with the latter estimate. However, we also observe that in some situations lattice-reduction behaves somewhat better than expected from Alkim et al.'s work and explain this behaviour under standard assumptions. Finally, we show that the security estimates of some LWE-based constructions from the literature need to be revised and give refined expected solving costs.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-70694-8_11">doi:10.1007/978-3-319-70694-8_11</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zlbcl24wdfa37px5iztr3kfsra">fatcat:zlbcl24wdfa37px5iztr3kfsra</a> </span>
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Implementing RLWE-based Schemes Using an RSA Co-Processor

Martin R. Albrecht, Christian Hanser, Andrea Hoeller, Thomas Pöppelmann, Fernando Virdia, Andreas Wallner
<span title="2018-11-09">2018</span> <i title="IACR Transactions on Cryptographic Hardware and Embedded Systems"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yz7ssmvstjhsxiwixprnmyijnq" style="color: black;">Transactions on Cryptographic Hardware and Embedded Systems</a> </i> &nbsp;
We repurpose existing RSA/ECC co-processors for (ideal) lattice-based cryptography by exploiting the availability of fast long integer multiplication. Such co-processors are deployed in smart cards in passports and identity cards, secured microcontrollers and hardware security modules (HSM). In particular, we demonstrate an implementation of a variant of the Module-LWE-based Kyber Key Encapsulation Mechanism (KEM) that is tailored for high performance on a commercially available smart card chip
more &raquo; ... (SLE 78). To benefit from the RSA/ECC co-processor we use Kronecker substitution in combination with schoolbook and Karatsuba polynomial multiplication. Moreover, we speed-up symmetric operations in our Kyber variant using the AES co-processor to implement a PRNG and a SHA-256 co-processor to realise hash functions. This allows us to execute CCA-secure Kyber768 key generation in 79.6 ms, encapsulation in 102.4 ms and decapsulation in 132.7 ms.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.13154/tches.v2019.i1.169-208">doi:10.13154/tches.v2019.i1.169-208</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/journals/tches/AlbrechtHHPVW19.html">dblp:journals/tches/AlbrechtHHPVW19</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kwrxjz6rwvandkzy6qebrvlswq">fatcat:kwrxjz6rwvandkzy6qebrvlswq</a> </span>
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Page 318 of PMLA. Publications of the Modern Language Association of America Vol. 75, Issue 2 [page]

<span title="">1959</span> <i title="Modern Language Association of America"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_pmla-publications-modern-language-assoc-of-america" style="color: black;">PMLA. Publications of the Modern Language Association of America </a> </i> &nbsp;
Virdia, Fernando. “Vita e violenza nell'ultimo Pasolini.’’ Fle, Xvi, xxvii, 1-2. Passionei. 8596. Rotta, Salvatore. “‘Una lettera inedita di Domenico Passionei al Voltaire.’’ RLJ, Ux1u, 264-274.  ...  Virdia, Ferdinando. ‘“Pavese incompiuto e imi- tato.”’ FLe, xvi, xxviii, 1-2. Pea. 8601. Banti, Anna. “‘Ricordo di Pea.” Approdo, tv (1958), iv, 15-17. 8602. Travi, Ernesto.  ... 
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Quantum Cryptanalysis (Dagstuhl Seminar 19421)

Michele Mosca, Maria Naya-Plasencia, Rainer Steinwandt, Michael Wagner
<span title="2020-02-26">2020</span> <i title="Schloss Dagstuhl Leibniz-Zentrum für Informatik GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/u2phfyhrhje7xnnubtp3vfklcu" style="color: black;">Dagstuhl Reports</a> </i> &nbsp;
Naehrig, Martin Roetteler, Fernando Virdia Main reference Samuel Jaques, Michael Naehrig, Martin Roetteler, Fernando Virdia: "Implementing Grover oracles for quantum key search on AES and LowMC", IACR  ...  URL https://eprint.iacr.org/2019/501 License Fernando Virdia (Royal Holloway University of London, GB) Creative Commons BY 3.0 Unported license © Fernando Virdia Joint work of Samuel Jaques, Michael  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4230/dagrep.9.10.47">doi:10.4230/dagrep.9.10.47</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/journals/dagstuhl-reports/MoscaNS19.html">dblp:journals/dagstuhl-reports/MoscaNS19</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/b4fbhk267zhsdch2lotalrzwoa">fatcat:b4fbhk267zhsdch2lotalrzwoa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201210155835/https://drops.dagstuhl.de/opus/volltexte/2020/11854/pdf/dagrep_v009_i010_p047_19421.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ba/03/ba03b6bcf09b44128b5525bc9faca217ebc22c2f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4230/dagrep.9.10.47"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Majority vote ensembles of conformal predictors

Giovanni Cherubin
<span title="2018-08-31">2018</span> <i title="Springer Nature America, Inc"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/h4nnd7sxwzcwhetu5qkjbcdh6u" style="color: black;">Machine Learning</a> </i> &nbsp;
Acknowledgements I am grateful to Alexander Gammerman, Henrik Linusson, Paolo Toccaceli, Fernando Virdia, and Vladimir Vovk for useful discussion and feedback.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10994-018-5752-y">doi:10.1007/s10994-018-5752-y</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/23gsvtco7jfxbbqye5eqfuhivy">fatcat:23gsvtco7jfxbbqye5eqfuhivy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190502221830/https://link.springer.com/content/pdf/10.1007%2Fs10994-018-5752-y.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3f/80/3f80b420ed8a76142d9b6170846c6ee38d308373.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10994-018-5752-y"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Prove di galleggiamento: il dialetto in "Libera nos a malo" di Luigi Meneghello

Luciano Zampese
<span title="2018-10-30">2018</span> <i title="University of Bern"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/uanokkhsnrcdvi5ln5lxykj7vm" style="color: black;">Versants</a> </i> &nbsp;
dici» (J: 1156). 7 La peculiarità della «funzione dialetto» in LNM si fa strada quasi subito nelle recensioni: si veda ad es. l'opposizione con la «soluzione gaddiana» e la «soluzione pasoliniana» in Virdia  ...  ritmica, magari desemantizzata (spropositi), delle parole apprese par coeur, mescolate ai giochi dell'infanzia (viene in mente Dialetto e filastrocca infantile in "Libera nos a malo" e "Pomo pero" di Fernando  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.22015//v.rslr/65.2.10">doi:10.22015//v.rslr/65.2.10</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vd3fz7qs7nbarnv4max6yi7h5a">fatcat:vd3fz7qs7nbarnv4max6yi7h5a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190803203507/https://bop.unibe.ch/versants/article/download/4448/6617/" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/91/41/9141c35e00e89305897c74f5878eeabfc3d8e37e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.22015//v.rslr/65.2.10"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

NOSTALGIC LYRISM AND MODERN ALIENATION IN CORRADO ALVARO

Marcella Di Franco
<span title="">2020</span> <i title="Goce Delchev University - Shtip"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gcgwulymu5enphj5bbtur6det4" style="color: black;">Palimsest. International journal for linguistic, literary and cultural research</a> </i> &nbsp;
sottile di osservazione, sensibile e inquieto nell'indagare con attenzione la variegata realtà del suo tempo in ogni suo aspetto evolutivo, a partire dallo sviluppo dell'Italia nel periodo giolittiano (Virdia  ...  avanti la parallela attività teatrale, la cui produzione ebbe inizio nel 1923, con Il Paese e la città, Il caffè dei naviganti (1939), la riduzione de I fratelli Karamazov di Dostoevskij e La Celestina di Fernando  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.46763/palim2090149df">doi:10.46763/palim2090149df</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/khakai7rajd2berkf3h55zgfey">fatcat:khakai7rajd2berkf3h55zgfey</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201003042831/http://js.ugd.edu.mk/index.php/PAL/article/download/3692/3310" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/67/63/676366f44c5ba233316801708519cfc2bad1590b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.46763/palim2090149df"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Vegne seia

Enrico Terracini
<span title="1988-10-01">1988</span>
Virdia), creando una temperte culturale che avrebbe portato i suoi frutti nel secondo dopoguerra.  ...  essa si era aperta ai «fermenti e alle inquiete ragioni di una letteratura europea che scopriva proprio in quegli anni Kafka e Freud, Joyce, Proust, Svevo, VEspressionismo e la narrativa americana» (Fernando  ... 
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Italian Language and Literature

<span title="">1959</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2ewq623yf5eibkxe5hu5csq4di" style="color: black;">Publications of the Modern Language Association of America</a> </i> &nbsp;
Virdia, Ferdinando. “L’Ultimo Bernari.” FLe, x1, v, 1, 4. Betti. 7482. Passeri, Vera Pignoni. ‘Ugo Betti Cat- tolico Inquieto.”” CV, x11, 340-346. 7483. Pinto, Bortolo.  ...  Togni, Fernando. Machiavelli alla Buona. Mi- lano: Gastaldi. 7285. Whitfield, J. H. “Discourses on Machiavelli.’ IS, xu, 21-46. See also 2021, 6945, 7270. Magalotti. 7286. Moretti, Walter.  ... 
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A evolução portugesa dos grupos -KY- e -TY- intervocálicos

José G.C. Herculano De Carvalho
<span title="">1956</span>
no ilaliano) teve geralmente o condäo cle impedir a sonorizacäo clas oclusivas e ate, em alguns casos, cle promover o seu ensurdetimento: cf. sapiam > fr. sache, esp. sepa (ao lado do port. saiba), *virdia  ...  N 2 da päg. seg.) e granadeza («polo bon rei Don Fernando / cjue foi comprido de prez, / d'esforc' e de granadeza / e cle todo ben, sen mal», n°292, estr. 4) . 3 Sandege ocorre pelo menos no cödice bilingue  ... 
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Dagstuhl Reports, Volume 9, Issue 10, October 2019, Complete Issue

<span title="">2020</span>
Holloway University of London, GB) Creative Commons BY 3.0 Unported license © Fernando Virdia Joint work of Samuel Jaques, Michael Naehrig, Martin Roetteler, Fernando Virdia Main reference Samuel Jaques  ...  , Michael Naehrig, Martin Roetteler, Fernando Virdia: "Implementing Grover oracles for quantum key search on AES and LowMC", IACR Cryptology ePrint Archive, Vol. 2019, p. 1146, 2019.  ... 
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