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Dual System Framework in Multilinear Settings and Applications to Fully Secure (Compact) ABE for Unbounded-Size Circuits [chapter]

Nuttapong Attrapadung
<span title="">2017</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
For functionalities, the goal is ABE that allows unbounded-size circuits.  ...  Unbounded-size Circuits and Succinctness. It is desirable for new fully secure schemes to preserve functionalities and efficiency from previous selectively secure systems.  ...  Until recently, there were only ABE for simple classes such as boolean formulae [33, 10, 37, 40] and inner product predicate [34, 7, 41] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-662-54388-7_1">doi:10.1007/978-3-662-54388-7_1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/x767dmtlmnbgbbkxumoyujjtga">fatcat:x767dmtlmnbgbbkxumoyujjtga</a> </span>
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Multi-Input Functional Encryption for Inner Products: Function-Hiding Realizations and Constructions without Pairings

Michel Abdalla, Dario Catalano, Dario Fiore, Romain Gay, Bodgan Ursu
<span title="2019-09-12">2019</span> <i title="Zenodo"> Zenodo </i> &nbsp;
First, we put forward a novel methodology to convert single-input functional encryption for inner products into multi-input schemes for the same functionality.  ...  We present new constructions of multi-input functional encryption (MIFE) schemes for the inner-product functionality that improve the state of the art solution of Abdalla et al.  ...  Sequence of games for transforming a weak multi-input function-hiding inner-product encryption scheme into a full function-hiding one.  ... 
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A survey on functional encryption

Carla Mascia, Massimiliano Sala, Irene Villa
<span title="">2021</span> <i title="American Institute of Mathematical Sciences (AIMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jbbcig2iqnbuvngg7spzuoozwu" style="color: black;">Advances in Mathematics of Communications</a> </i> &nbsp;
<p style='text-indent:20px;'>Functional Encryption (FE) expands traditional public-key encryption in two different ways: it supports fine-grained access control and allows learning a function of the encrypted  ...  To our knowledge, this is the first survey that encompasses the entire FE family.</p>  ...  We would like to thank Andrea Gelpi, Marco Pedicini, and Michela Iezzi for their interest and valuable discussion on the subject. We also thank the anonymous referee for the helpful comments.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3934/amc.2021049">doi:10.3934/amc.2021049</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/l3j4d2kfwrbdvk7ff4hrg7leo4">fatcat:l3j4d2kfwrbdvk7ff4hrg7leo4</a> </span>
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A survey on Functional Encryption [article]

Carla Mascia, Massimiliano Sala, Irene Villa
<span title="2021-06-11">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Functional Encryption (FE) expands traditional public-key encryption in two different ways: it supports fine-grained access control and it allows to learn a function of the encrypted data.  ...  To our knowledge, this is the first survey that encompasses the entire FE family.  ...  We acknowledge the financial support from BV TECH Spa under the project "Algebraic methods for Cloud Encryption".  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2106.06306v1">arXiv:2106.06306v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/i76bnyo2uvak5plpyexpntwb74">fatcat:i76bnyo2uvak5plpyexpntwb74</a> </span>
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Multi-input Inner-Product Functional Encryption from Pairings [chapter]

Michel Abdalla, Romain Gay, Mariana Raykova, Hoeteck Wee
<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;
We present a multi-input functional encryption scheme (MIFE) for the inner product functionality based on the k-Linear assumption in prime-order bilinear groups.  ...  Prior works required stronger non-standard assumptions such as indistinguishability obfuscation or multi-linear maps. CNRS.  ...  Our first guess is that it would be possible to achieve private-key, function-hiding MIFE for inner product under the k-Linear assumption in bilinear groups.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-56620-7_21">doi:10.1007/978-3-319-56620-7_21</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g6kii3os7jhgzduppgd6fxg5ey">fatcat:g6kii3os7jhgzduppgd6fxg5ey</a> </span>
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Function-Private Subspace-Membership Encryption and Its Applications [chapter]

Dan Boneh, Ananth Raghunathan, Gil Segev
<span title="">2013</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Then, we present a generic construction of a function-private subspace-membership encryption scheme based on any inner-product encryption scheme.  ...  First, we consider the notion of subspace-membership encryption, a generalization of inner-product encryption, and formalize a meaningful and realistic notion for capturing its function privacy.  ...  This work was supported by NSF, the DARPA PRO-CEED program, an AFO SR MURI award, a grant from ONR, an IARPA project provided via DoI/NBC, and by Samsung.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-42033-7_14">doi:10.1007/978-3-642-42033-7_14</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jta3wmrqtre53fyyas5tieb5tq">fatcat:jta3wmrqtre53fyyas5tieb5tq</a> </span>
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Function-Hiding Inner Product Encryption Is Practical [chapter]

Sam Kim, Kevin Lewi, Avradip Mandal, Hart Montgomery, Arnab Roy, David J. Wu
<span title="">2018</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;
An inner product encryption scheme is function-hiding if the keys and ciphertexts reveal no additional information about both x and y beyond their inner product.  ...  Finally, we evaluate the practicality of our encryption scheme by implementing our function-hiding inner product encryption scheme.  ...  Acknowledgments This work was supported by NSF, DARPA, the Simons foundation, a grant from ONR, and an NSF Graduate Research Fellowship.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-98113-0_29">doi:10.1007/978-3-319-98113-0_29</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3f6jf3igaza23nid3qgnzblbgq">fatcat:3f6jf3igaza23nid3qgnzblbgq</a> </span>
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Indistinguishability Obfuscation from DDH-Like Assumptions on Constant-Degree Graded Encodings

Huijia Lin, Vinod Vaikuntanathan
<span title="">2016</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/v4uclqixrrhlnk5pbw4wii6cfq" style="color: black;">2016 IEEE 57th Annual Symposium on Foundations of Computer Science (FOCS)</a> </i> &nbsp;
This narrows the gap between the mathematical objects that exist (bilinear maps, from elliptic curve groups) and ones that suffice to construct general purpose indistinguishability obfuscation.  ...  We present a new construction of IO, with a security reduction based on two assumptions: (a) a DDH-like assumption -called the joint-SXDH assumption -on constant degree graded encodings, and (b) the existence  ...  The authors thank Hoeteck Wee for being the intellectual inspiration behind this work, Stefano Tessaro for many helpful inputs and insights, and Benny Applebaum for being a quick and reliable oracle.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/focs.2016.11">doi:10.1109/focs.2016.11</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/focs/LinV16.html">dblp:conf/focs/LinV16</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4ht5vc7b55ehphb2vrc24xkneq">fatcat:4ht5vc7b55ehphb2vrc24xkneq</a> </span>
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Stronger Security for Reusable Garbled Circuits, General Definitions and Attacks [chapter]

Shweta Agrawal
<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;
We construct a functional encryption scheme for circuits which simultaneously achieves and improves upon the security of the current best known, and incomparable, constructions from standard assumptions  ...  Our scheme is secure based on the learning with errors (LWE) assumption. Our construction implies: * IIT Madras, India.  ...  We thank Aloni Cohen for pointing out an issue with an earlier version of the draft.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-63688-7_1">doi:10.1007/978-3-319-63688-7_1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fqlsymnqybcu3bc6acwdlx2lku">fatcat:fqlsymnqybcu3bc6acwdlx2lku</a> </span>
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Dual System Encryption via Doubly Selective Security: Framework, Fully Secure Functional Encryption for Regular Languages, and More [chapter]

Nuttapong Attrapadung
<span title="">2014</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Our framework can be regarded as a method for boosting doubly selectively security (of encoding) to full security (of functional encryption).  ...  Using the framework, we obtain the first fully secure schemes for functional encryption primitives of which only selectively secure schemes were known so far.  ...  These include adaptivelysecure schemes for (hierarchical) id-based encryption (HIBE) [33, 20, 22, 19] , attribute-based encryption (ABE) for Boolean formulae [24, 28, 23] , inner-product encryption  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-55220-5_31">doi:10.1007/978-3-642-55220-5_31</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bogsnlvadvb25bga7lm4en3rxa">fatcat:bogsnlvadvb25bga7lm4en3rxa</a> </span>
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Secure Arithmetic Computation with No Honest Majority [chapter]

Yuval Ishai, Manoj Prabhakaran, Amit Sahai
<span title="">2009</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The protocols rely on variants of previous intractability assumptions related to linear codes.  ...  -A protocol for the rings Zm = Z/mZ which only makes a black-box use of a homomorphic encryption scheme. When m is prime, the Extended Abstract.  ...  Thus, the circuit C together with the ring R naturally define a multi-party arithmetic functionality C R .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-00457-5_18">doi:10.1007/978-3-642-00457-5_18</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/njbxeax5xrfsdpnmikxxbwexc4">fatcat:njbxeax5xrfsdpnmikxxbwexc4</a> </span>
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Public-Key Encryption, Revisited: Tight Security and Richer Functionalities

Romain Gay
<span title="2019-03-01">2019</span> <i title="Zenodo"> Zenodo </i> &nbsp;
We also focus on adding new features that make functional encryption more relevant to practical scenarios, such as multi-input functional encryption, where encryption is split among different non-cooperative  ...  We also give new functional encryption schemes, whose security relies on well-founded assumptions.  ...  Chapter 4 Multi-Input Inner-Product Functional Encryption from Pairings Overview of the construction In this chapter, we present a multi-input functional encryption scheme (MIFE) for inner products  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5281/zenodo.3405872">doi:10.5281/zenodo.3405872</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ypcfqlzjifephog53uenm4mqm4">fatcat:ypcfqlzjifephog53uenm4mqm4</a> </span>
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Practical Fully Secure Unrestricted Inner Product Functional Encryption Modulo p [chapter]

Guilhem Castagnos, Fabien Laguillaumie, Ida Tucker
<span title="">2018</span> <i title="Springer Singapore"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/z5rxxaxerjcd3ou2qm7ffhm3nq" style="color: black;">Advances in Industrial Control</a> </i> &nbsp;
Abdalla, Bourse, De Caro, and Pointcheval (PKC 2015) were the first to consider functional encryption restricted to the class of linear functions, i.e. inner products.  ...  In this paper, we provide adaptively secure functional encryption schemes for the inner product functionality which are both efficient and allow for the evaluation of unbounded inner products modulo a  ...  Acknowledgements: The authors would like to thank both Benoît Libert and Damien Stehlé for fruitful discussions.  ... 
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<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190302100734/http://pdfs.semanticscholar.org/b3b9/460c3ab7de3f80c16d581b0868cec3babb83.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/b3/b9/b3b9460c3ab7de3f80c16d581b0868cec3babb83.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-030-03329-3_25"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Fully Secure Functional Encryption for Inner Products, from Standard Assumptions [chapter]

Shweta Agrawal, Benoît Libert, Damien Stehlé
<span title="">2016</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
collected information) for the same inner product functionality.  ...  Recently, Abdalla et al. gave simple and efficient realizations of the primitive for the computation of linear functions on encrypted data: given an encryption of a vector y over some specified base ring  ...  Part of this work was also funded by the "Programme Avenir Lyon Saint-Etienne de l'Université de Lyon" in the framework of the programme "Investissements d'Avenir" (ANR-11-IDEX-0007).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-662-53015-3_12">doi:10.1007/978-3-662-53015-3_12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jxzj5suqfzhbzcvxlzgbq2kzsa">fatcat:jxzj5suqfzhbzcvxlzgbq2kzsa</a> </span>
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Expressive CP-ABE with partially hidden access structures

Junzuo Lai, Robert H. Deng, Yingjiu Li
<span title="">2012</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rau5643b7ncwvh74y6p64hntle" style="color: black;">Proceedings of the 7th ACM Symposium on Information, Computer and Communications Security - ASIACCS &#39;12</a> </i> &nbsp;
One can construct CP-ABE with hidden access structures from attribute-hiding Inner-product Predicate Encryption (IPE) [12] .  ...  The special case of inner product predicates is obtained by having each attribute correspond to a vector ⃗ x and each predicate f ⃗ v correspond to a vector As mentioned in [14] , in order to use inner  ...  secure linear IPE ⋆ [14] fully hidden inner product predicates fully secure linear [22, 19] partially hidden AND-gates on multi-valued selectively secure linear attributes with wildcards [13] partially  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2414456.2414465">doi:10.1145/2414456.2414465</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/ccs/LaiDL12.html">dblp:conf/ccs/LaiDL12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6gokhotpcjabpcr3fz4fd22pja">fatcat:6gokhotpcjabpcr3fz4fd22pja</a> </span>
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