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Pors: proofs of retrievability for large files
 In CCS ’07: Proceedings of the 14th ACM conference on Computer and communications security
, 2007
"... Abstract. In this paper, we define and explore proofs of retrievability (PORs). A POR scheme enables an archive or backup service (prover) to produce a concise proof that a user (verifier) can retrieve a target file F, that is, that the archive retains and reliably transmits file data sufficient fo ..."
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Cited by 236 (8 self)
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Abstract. In this paper, we define and explore proofs of retrievability (PORs). A POR scheme enables an archive or backup service (prover) to produce a concise proof that a user (verifier) can retrieve a target file F, that is, that the archive retains and reliably transmits file data sufficient for the user to recover F in its entirety. A POR may be viewed as a kind of cryptographic proof of knowledge (POK), but one specially designed to handle a large file (or bitstring) F. We explore POR protocols here in which the communication costs, number of memory accesses for the prover, and storage requirements of the user (verifier) are small parameters essentially independent of the length of F. In addition to proposing new, practical POR constructions, we explore implementation considerations and optimizations that bear on previously explored, related schemes. In a POR, unlike a POK, neither the prover nor the verifier need actually have knowledge of F. PORs give rise to a new and unusual security definition whose formulation is another contribution of our work. We view PORs as an important tool for semitrusted online archives. Existing cryptographic techniques help users ensure the privacy and integrity of files they retrieve. It is also natural, however, for users to want to verify that archives do not delete or modify files prior to retrieval. The goal of a POR is to accomplish these checks without users having to download the files themselves. A POR can also provide qualityofservice guarantees, i.e., show that a file is retrievable within a certain time bound. Key words: storage systems, storage security, proofs of retrievability, proofs of knowledge 1
Least we remember: Cold boot attacks on encryption keys
 In USENIX Security Symposium
, 2008
"... For the most recent version of this paper, answers to frequently asked questions, and videos of demonstration attacks, visit ..."
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Cited by 190 (3 self)
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For the most recent version of this paper, answers to frequently asked questions, and videos of demonstration attacks, visit
Compact Proofs of Retrievability
, 2008
"... In a proofofretrievability system, a data storage center must prove to a verifier that he is actually storing all of a client’s data. The central challenge is to build systems that are both efficient and provably secure — that is, it should be possible to extract the client’s data from any prover ..."
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Cited by 185 (1 self)
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In a proofofretrievability system, a data storage center must prove to a verifier that he is actually storing all of a client’s data. The central challenge is to build systems that are both efficient and provably secure — that is, it should be possible to extract the client’s data from any prover that passes a verification check. All previous provably secure solutions require that a prover send O(l) authenticator values (i.e., MACs or signatures) to verify a file, for a total of O(l 2) bits of communication, where l is the security parameter. The extra cost over the ideal O(l) communication can be prohibitive in systems where a verifier needs to check many files. We create the first compact and provably secure proof of retrievability systems. Our solutions allow for compact proofs with just one authenticator value — in practice this can lead to proofs with as little as 40 bytes of communication. We present two solutions with similar structure. The first one is privately verifiable and builds elegantly on pseudorandom functions (PRFs); the second allows for publicly verifiable proofs and is built from the signature scheme of Boneh, Lynn, and Shacham in bilinear groups. Both solutions rely on homomorphic properties to aggregate a proof into one small authenticator value. 1
A tweakable enciphering mode
 of LNCS
, 2003
"... Abstract. We describe a blockcipher mode of operation, CMC, that turns an nbit block cipher into a tweakable enciphering scheme that acts on strings of mn bits, where m ≥ 2. When the underlying block cipher is secure in the sense of a strong pseudorandom permutation (PRP), our scheme is secure in ..."
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Cited by 95 (7 self)
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Abstract. We describe a blockcipher mode of operation, CMC, that turns an nbit block cipher into a tweakable enciphering scheme that acts on strings of mn bits, where m ≥ 2. When the underlying block cipher is secure in the sense of a strong pseudorandom permutation (PRP), our scheme is secure in the sense of tweakable, strong PRP. Such an object can be used to encipher the sectors of a disk, inplace, offering security as good as can be obtained in this setting. CMC makes a pass of CBC encryption, xors in a mask, and then makes a pass of CBC decryption; no universal hashing, nor any other nontrivial operation beyond the blockcipher calls, is employed. Besides proving the security of CMC we initiate a more general investigation of tweakable enciphering schemes, considering issues like the nonmalleability of these objects. 1
CBC MACs for arbitrarylength messages: The threekey constructions
 Advances in Cryptology – CRYPTO ’00, Lecture Notes in Computer Science
, 2000
"... Abstract. We suggest some simple variants of the CBC MAC that let you efficiently MAC messages of arbitrary lengths. Our constructions use three keys, K1, K2, K3, to avoid unnecessary padding and MAC any message M ∈ {0, 1} ∗ using max{1, ⌈M/n⌉} applications of the underlying nbit block cipher. O ..."
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Cited by 82 (19 self)
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Abstract. We suggest some simple variants of the CBC MAC that let you efficiently MAC messages of arbitrary lengths. Our constructions use three keys, K1, K2, K3, to avoid unnecessary padding and MAC any message M ∈ {0, 1} ∗ using max{1, ⌈M/n⌉} applications of the underlying nbit block cipher. Our favorite construction, XCBC, works like this: if M  is a positive multiple of n then XOR the nbit key K2 with the last block of M and compute the CBC MAC keyed with K1; otherwise, extend M’s length to the next multiple of n by appending minimal 10 i padding (i ≥ 0), XOR the nbit key K3 with the last block of the padded message, and compute the CBC MAC keyed with K1. We prove the security of this and other constructions, giving concrete bounds on an adversary’s inability to forge in terms of her inability to distinguish the block cipher from a random permutation. Our analysis exploits new ideas which simplify proofs compared to prior work. 1
Efficient Instantiations of Tweakable Blockciphers and Refinements to Modes OCB and PMAC
, 2003
"... We describe highly efficient constructions, XE and XEX, that turn a blockcipher E: K × {0, 1}^n → {0, 1}^n into a tweakable blockcipher... ..."
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Cited by 77 (9 self)
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We describe highly efficient constructions, XE and XEX, that turn a blockcipher E: K &times; {0, 1}^n &rarr; {0, 1}^n into a tweakable blockcipher...
A Theoretical Treatment of RelatedKey Attacks: RKAPRPs, RKAPRFs, and Applications
 Advances in Cryptology – EUROCRYPT ’03, Lecture Notes in Computer Science
, 2003
"... We initiate a theoretical investigation of the popular blockcipher designgoal of security against “relatedkey attacks ” (RKAs). We begin by introducing definitions for the concepts of PRPs and PRFs secure against classes of RKAs, each such class being specified by an associated set of “relatedke ..."
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Cited by 70 (11 self)
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We initiate a theoretical investigation of the popular blockcipher designgoal of security against “relatedkey attacks ” (RKAs). We begin by introducing definitions for the concepts of PRPs and PRFs secure against classes of RKAs, each such class being specified by an associated set of “relatedkey deriving (RKD) functions. ” Then for some such classes of attacks, we prove impossibility results, showing that no blockcipher can resist these attacks while, for other, related classes of attacks that include popular targets in the block cipher community, we prove possibility results that provide theoretical support for the view that security against them is achievable. Finally we prove security of various blockcipher based constructs that use related keys, including a tweakable block cipher given in [17]. We believe this work helps blockcipher designers and cryptanalysts by clarifying what classes of attacks can and cannot be targets of design. It helps blockcipher users by providing guidelines about the kinds of related keys that are safe to use in constructs, and by enabling them to prove the security of such constructs. Finally, it puts forth a new primitive for consideration by theoreticians with regard to open questions about constructs based on minimal assumptions.
A provablesecurity treatment of the keywrap problem
 EUROCRYPT 2006, LNCS 4004
, 2006
"... Abstract. We give a provablesecurity treatment for the keywrap problem, providing definitions, constructions, and proofs. We suggest that keywrap’s goal is security in the sense of deterministic authenticatedencryption (DAE), a notion that we put forward. We also provide an alternative notion, a ..."
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Cited by 50 (12 self)
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Abstract. We give a provablesecurity treatment for the keywrap problem, providing definitions, constructions, and proofs. We suggest that keywrap’s goal is security in the sense of deterministic authenticatedencryption (DAE), a notion that we put forward. We also provide an alternative notion, a pseudorandom injection (PRI), which we prove to be equivalent. We provide a DAE construction, SIV, analyze its concrete security, develop a blockcipherbased instantiation of it, and suggest that the method makes a desirable alternative to the schemes of the X9.102 draft standard. The construction incorporates a method to turn a PRF that operates on a string into an equally efficient PRF that operates on a vector of strings, a problem of independent interest. Finally, we consider IVbased authenticatedencryption (AE) schemes that are maximally forgiving of repeated IVs, a goal we formalize as misuseresistant AE. We show that a DAE scheme with a vectorvalued header, such as SIV, directly realizes this goal. 1
Security proofs for an efficient passwordbased key exchange
 In ACM Conference on Computer Communications Security
, 2003
"... Abstract. Passwordbased key exchange schemes are designed to provide entities communicating over a public network, and sharing a (short) password only, with a session key (e.g, the key is used for data integrity and/or confidentiality). The focus of the present paper is on the analysis of very effi ..."
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Cited by 45 (10 self)
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Abstract. Passwordbased key exchange schemes are designed to provide entities communicating over a public network, and sharing a (short) password only, with a session key (e.g, the key is used for data integrity and/or confidentiality). The focus of the present paper is on the analysis of very efficient schemes that have been proposed to the IEEE P1363 Standard working group on passwordbased authenticated keyexchange methods, but for which actual security was an open problem. We analyze the AuthA key exchange scheme and give a complete proof of its security. Our analysis shows that the AuthA protocol and its multiple modes of operation are provably secure under the computational DiffieHellman intractability assumption, in both the randomoracle and the idealcipher models. 1
Pseudorandom Functions and Permutations Provably Secure Against RelatedKey Attacks
, 2010
"... This paper fills an important foundational gap with the first proofs, under standard assumptions and in the standard model, of the existence of pseudorandom functions (PRFs) and pseudorandom permutations (PRPs) resisting rich and relevant forms of relatedkey attacks (RKA). An RKA allows the adversa ..."
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Cited by 34 (5 self)
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This paper fills an important foundational gap with the first proofs, under standard assumptions and in the standard model, of the existence of pseudorandom functions (PRFs) and pseudorandom permutations (PRPs) resisting rich and relevant forms of relatedkey attacks (RKA). An RKA allows the adversary to query the function not only under the target key but under other keys derived from it in adversaryspecified ways. Based on the NaorReingold PRF we obtain an RKAPRF whose keyspace is a group and that is proven, under DDH, to resist attacks in which the key may be operated on by arbitrary adversaryspecified group elements. Previous work was able only to provide schemes in idealized models (ideal cipher, random oracle), under new, nonstandard assumptions, or for limited classes of attacks. The reason was technical difficulties that we resolve via a new approach and framework that, in addition to the above, yields other RKAPRFs including a DLINbased one derived from the LewkoWaters PRF. Over the last 15 years cryptanalysts and blockcipher designers have routinely and consistently targeted RKAsecurity; it is visibly important for abuseresistant cryptography; and it helps protect against faultinjection sidechannel attacks. Yet ours are the first significant proofs of existence of secure constructs. We warn that our constructs are proofsofconcept