Algebraic Framework for the Specification and Analysis of Cryptographic-Key Distribution

Sabri, Khair Eddin; Khédri, Ridha

doi:10.3233/fi-2011-592

Cited by 4 publications

(11 citation statements)

References 14 publications

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“…Key assignment schemes can be classified into keybased schemes and object-based schemes [1]. Key-based schemes focus on keys and the relationship between them.…”

Section: Introductionmentioning

confidence: 99%

“…Sabri and Khedri [1] introduce algebraic structures to specify cryptosystems by specifying the common properties of secrets, ciphers, and keys. Also, they introduce an algebraic structure to specify the interaction between keys and ciphers and another algebraic structure to specify the process of encryption and decryption.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we extend the work of Sabri and Khedri [1] by providing concrete algebraic models of cryptosystems to their abstract structures. These cryptosystems are Vigenère, transposition cipher, DES and RSA [11].…”

Section: Introductionmentioning

confidence: 99%

“…However, we are presenting them in this paper because they are simple and easy to understand. Therefore, they are suitable to illustrate the algebraic structures presented in [1].…”

Section: Introductionmentioning

confidence: 99%

“…This paper is organized as follows: Section II summarizes related work. Section III gives the necessary mathematical background and present the algebraic structures of [1]. Section IV analyses security properties in object-based schemes.…”

Section: Introductionmentioning

confidence: 99%

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Algebraic Analysis of Object-Based Key Assignment Schemes

Sabri¹

2014

JSW

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The confidentiality of information is an important aspect of security. One way to achieve the confidentiality is through restricting access to information to the authorized users only. Access control can be enforced by using encryption. In this case, all the information is encrypted and keys are assigned to users such that each key reveals the authorized part of the information. Key assignment can be classified as key-based or object-based schemes based on the focus of the scheme. Sabri and Khedri [1] present algebraic structures to specify algebraically cryptosystems by capturing the common properties of ciphers, secrets and keys. Also, these structures are used for the analysis of security properties in objectbased key assignment schemes. However, these structures are abstract, and no linkage has been proposed to the existing cryptosystems. In this paper, we extend their work by giving concrete models for their algebraic structures. We give concrete models to Vigenère, transposition ciphers, DES and RSA cryptosystems. Also, we investigate the effects of extra algebraic properties that some cryptosystems may have on the security analysis of object-based schemes.

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“…Key assignment schemes can be classified into keybased schemes and object-based schemes [1]. Key-based schemes focus on keys and the relationship between them.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…However, we are presenting them in this paper because they are simple and easy to understand. Therefore, they are suitable to illustrate the algebraic structures presented in [1].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations