Extracting algebraic equations of the 2-key simplified 3-DES for algebraic cryptanalysis
Abdelwahab, M., Rizk, M., Slim, H. (2019). Extracting algebraic equations of the 2-key simplified 3-DES for algebraic cryptanalysis. EKB Journal Management System, 3(1), 1-13. doi: 10.21608/ejmtc.2019.9737.1105
Mostafa Abdelwahab; Mohamed Rizk; Hossam Slim. "Extracting algebraic equations of the 2-key simplified 3-DES for algebraic cryptanalysis". EKB Journal Management System, 3, 1, 2019, 1-13. doi: 10.21608/ejmtc.2019.9737.1105
Abdelwahab, M., Rizk, M., Slim, H. (2019). 'Extracting algebraic equations of the 2-key simplified 3-DES for algebraic cryptanalysis', EKB Journal Management System, 3(1), pp. 1-13. doi: 10.21608/ejmtc.2019.9737.1105
Abdelwahab, M., Rizk, M., Slim, H. Extracting algebraic equations of the 2-key simplified 3-DES for algebraic cryptanalysis. EKB Journal Management System, 2019; 3(1): 1-13. doi: 10.21608/ejmtc.2019.9737.1105

Extracting algebraic equations of the 2-key simplified 3-DES for algebraic cryptanalysis

Journal of Engineering Science and Military Technologies
Article 1, Volume 3, Issue 1, March 2019, Page 1-13  XML PDF (1.17 MB)
Document Type: Review articles
DOI: 10.21608/ejmtc.2019.9737.1105
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Authors
Mostafa Abdelwahab email orcid 1; Mohamed Rizk2; Hossam Slim3
1Electrical Engineering Department, Faculty of Engineering, Alexandria university
2Electrical Engineering Department, Faculty of Engineering, Alexandria University
3Computer Engineering Department, Faculty of Engineering and Technology, Arab Academy for Science and Technology and Maritime Transport, Alexandria, Egypt
Abstract
Block ciphers cryptanalysis is serious challenge specially with the existing of the powerful block ciphers that require massive number of plaintext-ciphertext pairs to perform a successful attack. Algebraic attack is superior among different attack types as it does require the smallest number of such pairs. On the other hand, the equations describe the input/output relations should be in hand to execute the algebraic attack. In this paper, we present the method of collecting the input/output algebraic equations for 2-key simplified 3-DES as a miniature example of the 2-key 3-DES. The simplified DES has similar structure and characteristics to DES with the privilege of using smaller parameters than DES. Also, we prove that the complementation property of DES can be used to double the number of obtained algebraic equations for 3-DES variants and consequently decreasing the required number of plaintext-ciphertext pairs. Finally, we compared the expected number of obtained equations and variables in both 2-key simplified 3-DES and 2-key 3-DES.
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