On the Notions of PRP-RKA, KR and KR-RKA for Block Ciphers

Razali, Ermaliza; Phan, Raphaël C.‐W.; Joye, Marc

doi:10.1007/978-3-540-75670-5_13

Cited by 4 publications

(2 citation statements)

References 13 publications

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“…(8) are discretized using Alternating Direction Implicit (ADI) scheme and the resulting system of finite difference equations are solved using 'Thomas Algorithm'. The computer code validation and grid independence test are explained in detail in [29][30][31].…”

Section: Methodsmentioning

confidence: 99%

Temperature and Location of Hot Spots Variation with Spacing in a Vertical Parallel Plate Channel: Conjugate View

Mohammad¹,

Afzal²,

Razak³

et al. 2019

IJHT

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The objective of present investigation is twofold, one to determine the effect of operational parameter on maximum temperature (Hot spots temperature) in heat generating (uniform and non-uniform) vertical parallel plates and two is to find out the position of maximum temperature (hot spots location) when plates are placed apart at optimum spacing (Bopt). A conjugate two dimensional laminar forced convection analysis is carried out in which the equations regulating the heat and fluid flow are solved by using finite difference numerical technique and the obtained algebraic equations are solved by using Thomas algorithm. The parameters viz Reynolds Number (ReH), Conduction-Convection parameter (Ncc), Heat generation parameter (Qt), and Prandtl Number (Pr), Spacing between the plates (B) were considered for present study, while the aspect ratio (Ar) of the plate is kept constant. The major outcome of present study says that the location of hot spot is mainly affected by ReH and mode of heat generation (uniform and non-uniform). It is also found that the spacing between the plates (B), ReH, Pr and Ncc play a major role in reducing the hotspots temperature.

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Section: Methodsmentioning

confidence: 99%

Temperature and Location of Hot Spots Variation with Spacing in a Vertical Parallel Plate Channel: Conjugate View

Mohammad¹,

Afzal²,

Razak³

et al. 2019

IJHT

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show abstract

“…A preliminary extended abstract version of this section appeared in [35]. In [16], it was shown that the advantage Adv kr E (A) of any KR adversary A mounting a generic attack depends on the number t of verifications made to the block cipher E (i.e., evaluations of the form E Ki (M i ) for any text M i and any key K i of the adversary's choice), and on the key bit-length k. More specifically, it was shown that:…”

Section: Security Of Three Prp-rka Ciphers Against Key Recoverymentioning

confidence: 99%

Notions and relations for RKA-secure permutation and function families

Kim

Sung

Razali

et al. 2010

Des. Codes Cryptogr.

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On Cipher-Dependent Related-Key Attacks in the Ideal-Cipher Model

Albrecht¹,

Farshim²,

Paterson³

et al. 2011

Fast Software Encryption

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Bellare and Kohno introduced a formal framework for the study of related-key attacks against blockciphers. They established sufficient conditions (output-unpredictability and collision-resistance) on the set of related-key-deriving (RKD) functions under which an ideal cipher is secure against related-key attacks, and suggested this could be used to derive security goals for real blockciphers. However, to do so requires the reinterpretation of results proven in the idealcipher model for the standard model (in which a blockcipher is modelled as, say, a pseudorandom permutation family). As we show here, this is a fraught activity. In particular, building on a recent idea of Bernstein, we first demonstrate a related-key attack that applies generically to a large class of blockciphers. The attack exploits the existence of a short description of the blockcipher, and so does not apply in the ideal-cipher model. However, the specific RKD functions used in the attack are provably output-unpredictable and collision-resistant. In this sense, the attack can be seen as a separation between the ideal-cipher model and the standard model. Second, we investigate how the related-key attack model of Bellare and Kohno can be extended to include sets of RKD functions that themselves access the ideal cipher. Precisely such related-key functions underlie the generic attack, so our extended modelling allows us to capture a larger universe of related-key attacks in the ideal-cipher model. We establish a new set of conditions on related-key functions that is sufficient to prove a theorem analogous to the main result of Bellare and Kohno, but for our extended model. We then exhibit non-trivial classes of practically relevant RKD functions meeting the new conditions. We go on to discuss standard model interpretations of this theorem, explaining why, although separations between the ideal-cipher model and the standard model still exist for this setting, they can be seen as being much less natural than our previous separation. In this manner, we argue that our extension of the Bellare-Kohno model represents a useful advance in the modelling of related-key attacks. In the full version of the paper, we also consider the topic of key-recovering related-key attacks and its relationship to the Bellare-Kohno formalism. In particular, we address the question of whether lowering the security goal by requiring the adversary to perform key-recovery excludes separations of the type exhibited by us in the Bellare-Kohno model.

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On the Notions of PRP-RKA, KR and KR-RKA for Block Ciphers

Cited by 4 publications

References 13 publications

Temperature and Location of Hot Spots Variation with Spacing in a Vertical Parallel Plate Channel: Conjugate View

Temperature and Location of Hot Spots Variation with Spacing in a Vertical Parallel Plate Channel: Conjugate View

Notions and relations for RKA-secure permutation and function families

On Cipher-Dependent Related-Key Attacks in the Ideal-Cipher Model

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