References
[1] Diffie,W., and Hellman, M. (1976). New directions in cryptography. IEEE Trans. Information Theory. IT-22, 644-654.
[2] Rivest, R., Shamir, A., and Adelman, L. (1978). A method for obtaining digital signature and public key cryptosystems. Com-munications of the ACM, 21, 120-126.
[3] Kaliski, B., and Staddon, J. (1998). PKCS #1: RSA Cryptography Specifications (Version 2.0). Network Working Group. https://www.rfc-editor.org/rfc/rfc2437.
[4] American National Standard for Financial Services. (1998). X9.31 -1998, Digital Signatures Using Reversible Public Key Cryptography for the Financial Services Industry (rDSA). American National Standards Institute.
[5] National Institute of Standards and Technology. (2013). FIPS PUB 186-4, Digital Signature Standard (DSS). https://nvlpubs.nist.gov/nistpubs/fips/nist.fips.186-4.pdf.
[6] Barker, E. (2020). Recommendation for key management: Part 1 – General. NIST Special Publication 800-57 Part 1 Revision 5.
[7] Mahto, D., and Yadav, D. K. (2017). RSA and ECC: A Comparative Analysis.12, 9053-9061.
[8] Boneh, D. (1999). Twenty years of attacks on the RSA acyptosystem. Notices of the American Mathematical Society, 46, 203-213.
[9] Wiener, M. (1990). Cryptanalysis of short RSA secret exponents. IEEE Transactions on Information Theory, 36, 553-558.
[10] Boneh, D., and Durfee, G. (1999) Cryptanalysis of RSA with Private Key d less than N0.292. Advances in Cryptology – EUROCRYPT’99, Lecture Notes in Computer Science 1592, Berlin: Springer, 1-11.
[11] Boneh, D., and Durfee, G. (2000). New results on the Cryptanalysis of Low Exponent RSA. IEEE Transactions on Information Theory, 46, 1339-1349.
[12] Loshin, P. (1998). Personal Encryption Clearly Explained. Academic Press, USA.
[13] Abubakar, A., Jabaka, S., Tijjani, B. I., Zeki, A., Chiroma, H., Usman, M. J., Raji, S., Mahmud, M. (2014). Cryptanalytic Attacks on Rivest, Shamir, and Adleman (RSA) Cryptosystem: Issues and Challenges. Journal of Theoretical and Applied Information Technology, 61, 1-7.
[14] Pomerance, C. (1996). A tale of two sieves. Notices of the American Mathematical Society, 43, 1473-1485.
[15] Yan, S. Y. (2008). Cryptanalytic Attacks on RSA. Springer-Verlag, Heidelberg, Germany.
[16] Bruce, S. (1999). Cryptography: The Importance of Not Being Different. IEEE Computer, 32, 108-109.
[17] Kocher, P. C. (1999). Timing Attacks on Implementations of Diffie-Hellman, RSA, DSS, and Other Systems. Proceedings of the 16th Annual International Cryptology Conference on Advances in Cryptology, 104-113.
[18] Kota, C. M., and Aissi, C. (2002). Implementation of the RSA algorithm and its cryptanalysis. Proceedings of the 2002 ASEE Gulf Southwest Annual Conference, The University of Louisiana at Lafayette.
[19] Aumüller, C., Bier, P., Fischer, W., Hofreiter, P., Seifert, J.-P. (2002). Fault attacks on RSA with CRT: Concrete results and practical countermeasures. International Workshop on Cryptographic Hardware and Embedded Systems (CHES) 2002, LNCS, 2523, 260-275, Springer, Heidelberg, (Kaliski Jr., B.S., Koç, Ç.K., Paar, C. (eds.)).
[20] Sun, H.-M., Wu, M.-E., Ting, W.-C., Hinek, M. J. (2007). Dual RSA and its security analysis. IEEE Transactions on Information Theory, 53, 2922-2933.
[21] Kaliski, B. (2021). Announcement of “RSA Factoring Challenge”. Retrieved 8 March 2021.
[22] Denny, T., Dodson, B., Lenstra, A. K., Manasse, M. S. (1994). On the factoring of RSA-120. Advances in Cryptology - CRYPTO’ 93, LNCS, 773, 166-174.
[23] Cavallar, S., Dodson, B., Lenstra, A., Leyland, P., Lioen, W., Montgemery, P., Murphy, B., Zimmermann, P. (1999). Factoring of RSA-140 using the number field sieve. Proc. of Asiacrypt’99, Singapore. URL: http://www.comp.nus.edu.sg/~asia99.
[24] Eric, W. (2003). Prime Factorization Algorithms. From MathWorld--A Wolfram Web Resource. https://mathworld. wol-fram.com/PrimeFactorizationAlgorithms. html.
[25] Kleinjung, T., Aoki, K., Franke, J., Lenstra, A. K., Thomé, E., Bos, J. W., Gaudry, P., Kruppa, A., Montgomery, P. L., Osvik, D. A., Riele, H. te., Timofeev, A., Zimmermann, P. (2010). Factorization of a 768-Bit RSA Modulus. CRYPTO 2010, California, USA, LNCS 6223, 333-350.
[26] RSA numbers, Wikipedia, https://en.wikipedia.org/wiki/RSA_numbers, accessed in 2022/1/13.
[27] Ercegovac, M. D., and Lang, T. (2004). Digital arithmetic, Elsevier.