Abstract
Stream ciphers that use the XOR function for mixing the plaintext and the keystream are vulnerable to attacks such as known-plaintext attack and insertion attack. To overcome such shortcomings of the existing ciphers, we hereby propose a new stream cipher that uses AES. The proposed cipher is based on a large-order quasigroup. It is resistant to brute force attack, due to the exponential number of quasigroups of its order. It is also analyzed against the chosen-ciphertext, chosen-plaintext and known-plaintext attacks, and it is found to resist these attacks. The output of the cipher is subjected to various statistical tests, such as the NIST-STS test suite, and the results show a high degree of randomness of the ciphertext. Hence, it is resistant to correlation-type attacks.
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References
Barker E, Kelsey J (2007) Recommendation for random number generation using deterministic random bit generators. Technical report, NIST (revised)
Bayer R, Metzger J (1976) On the encipherment of search trees and random access files. ACM Trans Database Syst (TODS) 1:37–52
Biham E, Shamir A (1993) Differential cryptanalysis of the data encryption standard. Springer, Berlin
Diffie W, Hellman ME (1977) Special feature exhaustive cryptanalysis of the NBS data encryption standard. Computer 10:74–84
Domosi H (2017) A novel stream cipher based on deterministic finite automaton. Ninth workshop on non-classical models of automata and applications (NCMA 2017), pp 11–16
Jacobson MT, Matthews P (1996) Generating uniformly distributed random Latin squares. J Combin Des 4:405–437
Koscielny C (2002) Generating quasigroups for cryptographic applications. Int J Appl Math Comput Sci 12:559–570
Lipmaa H, Wagner D, Rogaway P (2000) Comments to NIST concerning AES modes of operation: CTR-mode encryption
Malyutina NN (2019) Cryptanalysis of some stream ciphers. Quasigroups Rel Syst 27:281–292
Markovski S, Gligoroski D, Andova S (1997) Using quasigroups for one-one secure encoding. In: Proceedings of VIII Conference on logic and computer science “LIRA”, vol 97, pp 157–162
Matsui M (1993) Linear cryptanalysis method for DES cipher. In: Workshop on the theory and application of of cryptographic techniques. Springer, Berlin, pp 386–397
Paterson KG, Yau A (2004) Padding oracle attacks on the ISO CBC mode encryption standard. In: Cryptographers’ track at the RSA conference. Springer, Berlin, pp. 305–323
Petrescu A (2007) Applications of quasigroups in cryptography. In: Proceedings of interdisciplinarity in engineering. TG-Mures, Romania. Academic Press
Petrescu A (2009) A 3-quasigroup stream cipher. In: The international conference interdisciplinarity in engineering INTER-ENG. Editura Universitatii “Petru Maior” din Tirgu Mures, p 168
Petrescu A (2010) n-quasigroup cryptographic primitives: stream ciphers. Stud Univ Babeş-Bolyai Inf 55 [On table of contents: Anul LIV]:27–34
Rijmen V, Daemen J (2001) Advanced encryption standard. In: Proceedings of federal information processing standards publications. National Institute of Standards and Technology (NIST), pp 19–22
Rukhin A, Soto J, Nechvatal J, Smid M, Barker E (2010) A statistical test suite for random and pseudorandom number generators for cryptographic applications. NIST, special publication 800-22, revision 1a
Schneier B (2007) Applied cryptography protocols, algorithms, and source code in C. Wiley
Stallings W (2006) Cryptography and network security, 4th edn. Pearson education, Inc., India
Stinson D (1995) Cryptography: theory and practice. CRC Press, CRC Press LLC
Vojvoda M (2004) Stream ciphers and hash functions-analysis of some new design approaches. Ph.D. thesis. Slovak University of Technology
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Kumar, U., Agarwal, A., Venkaiah, V.C. (2022). New Symmetric Key Cipher Based on Quasigroup. In: Agrawal, D.P., Nedjah, N., Gupta, B.B., Martinez Perez, G. (eds) Cyber Security, Privacy and Networking. Lecture Notes in Networks and Systems, vol 370. Springer, Singapore. https://doi.org/10.1007/978-981-16-8664-1_8
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