Refining Galois/Counter Mode for 256-Bit Blocks: Multilinear Authentication and Security Proofs
DOI:
https://doi.org/10.54654/isj.v1i27.6406Keywords:
GCM, GHASH, authenticated encryption, provable securityTóm tắt
This paper investigates the feasibility of extending the authenticated encryption mode GCM to a 256-bit block size to increase the amount of authenticated data and enhance security in large-scale information processing systems. Based on an analysis of the limitations of the standard GCM construction, particularly the restriction on the amount of data processed per invocation and the weaknesses arising from the linearity of the GHASH function, we propose a GCM-256 variant employing a 256-bit block cipher together with a multilinear authentication mechanism, replacing the conventional linear GHASH function.
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References
. NIST Special Publication 800-38D, “Recommendation for Block Cipher Modes of Operation: Galois/Counter Mode (GCM) and GMAC”, National Institute of Standards and Technology, 2007.
. ISO/IEC. Iso/iec 19772:2020 information security — authenticated encryption. 2020.
. McGrew, D.A. and J. Viega. “The security and performance of the Galois/Counter Mode (GCM) of operation” in International Conference on Cryptology in India, 2004.
. Iwata, T., K. Ohashi, and K. Minematsu. “Breaking and repairing GCM security proofs” in Annual Cryptology Conference. Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 31-49, 2012.
. Niwa, Yuichi, et al. “GCM security bounds reconsidered” in International Workshop on Fast Software Encryption. Berlin, pp 285-497, 2015.
. Ferguson, N., “Authentication weaknesses in GCM”, May 2005.
. Joux, A., “Authentication failures in NIST version of GCM”, NIST Comment, 2006.
. Saarinen, Markku-Juhani Olavi. “Cycling attacks on GCM, GHASH and other polynomial MACs and hashes” in International Workshop on Fast Software Encryption. Berlin, Heidelberg: Springer Berlin Heidelberg, pp 216-225, 2012.
. RFC, RFC 8452: AES-GCM-SIV: Nonce misuse-resistant authenticated encryption, 2019.
. Akhmetzyanova, Liliya, et al., “Security of multilinear galois mode (MGM)” in Cryptology ePrint Archive, 2019.
. RFC, RFC 8645: Re-keying Mechanisms for Symmetric Keys, 2019.
. Bellare, M. and P. Rogaway. “The security of triple encryption and a framework for code-based game-playing proofs” in Annual International Conference on the Theory and Applications of Cryptographic Techniques. Berlin, Heidelberg: Springer Berlin Heidelberg, pp 409-426, 2005.
. Long, N. V., Linh, H. D., & Dat, L. Q., “The quantum circuit construction for S-boxes without ancilla qubits: A more detail analysis”, Journal of Science and Technology on Information Security, vol. 1, no. 21, pp. 75-88, 2024. DOI: 10.54654/isj.v1i21.1031.
. Anh, N. T., & Phong, T. Q., “On the security of AEAD scheme is recommended for use in Signal protocol”, Journal of Science and Technology on Information Security, vol. 1, no. 21, pp. 67-74, 2024. DOI: 10.54654/isj.v1i21.1028.
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