## A construction of multisender authentication codes with sequential model from symplectic geometry over finite fields.(English)Zbl 1437.94081

Summary: Multisender authentication codes allow a group of senders to construct an authenticated message for a receiver such that the receiver can verify authenticity of the received message. In this paper, we construct multisender authentication codes with sequential model from symplectic geometry over finite fields, and the parameters and the maximum probabilities of deceptions are also calculated.

### MSC:

 94A62 Authentication, digital signatures and secret sharing 94B60 Other types of codes
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### References:

 [1] Gilbert, E. N.; MacWilliams, F. J.; Sloane, N. J. A., Codes which detect deception, The Bell System Technical Journal, 53, 405-424 (1974) · Zbl 0275.94006 [2] Simmons, G. J., Message authentication with arbitration of transmitter/receiver disputes, Proceedings of the 6th Annual International Conference on Theory and Application of Cryptographic Techniques (Eurocrypt ’87) [3] Wan, Z. X., Construction of cartesian authentication codes from unitary geometry, Designs, Codes and Cryptography, 2, 4, 333-356 (1992) · Zbl 0764.94022 [4] Ma, W. P.; Wang, X. M., A construction of authentication codes with arbitration based on symplectic spaces, Chinese Journal of Computers, 22, 9, 949-952 (1999) [5] You, G.; Xinhua, S.; Hongli, W., Construction of authentication codes with arbitration from symplectic geometry over finite fields, Acta Scientiarum Naturalium Universitatis Nankaiensis, 41, 6, 72-77 (2008) [6] Chen, S.; Zhao, D., New construction of authentication codes with arbitration from pseudo-symplectic geometry over finite fields, Ars Combinatoria, 97, 453-465 (2010) [7] Chen, S.; Zhao, D., Two constructions of optimal Cartesian authentication codes from unitary geometry over finite fields, Acta Mathematicae Applicatae Sinica, 29, 4, 829-836 (2013) · Zbl 1286.94094 [8] Chen, S.; Zhao, D., Construction of multi-receiver multi-fold authentication codes from singular symplectic geometry over finite fields, Algebra Colloquium, 20, 4, 701-710 (2013) · Zbl 1322.94097 [9] Ruihu, L.; Zunxian, L., Construction of A^2-codes from symplectic geometry, Journal of Shanxi Normal University, 26, 4, 10-15 (1998) [10] Xing, C.; Wang, H.; Lam, K.-Y., Constructions of authentication codes from algebraic curves over finite fields, IEEE Transactions on Information Theory, 46, 3, 886-892 (2000) · Zbl 0997.94028 [11] Carlet, C.; Ding, C.; Niederreiter, H., Authentication schemes from highly nonlinear functions, Designs, Codes and Cryptography, 40, 1, 71-79 (2006) · Zbl 1192.94113 [12] Safavi-Naini, R.; Wang, H., Multireceiver authentication codes: models, bounds, constructions, and extensions, Information and Computation, 151, 1-2, 148-172 (1999) · Zbl 1011.94018 [13] Chen, S.; Zhao, D., Construction of multi-receiver multi-fold authentication codes from singular symplectic geometry over finite fields, Algebra Colloquium, 20, 4, 701-710 (2013) · Zbl 1322.94097 [14] Chen, S.; Zhao, D., Two constructions of multireceiver authentication codes from symplectic geometry over finite fields, Ars Combinatoria, 99, 193-203 (2011) [15] Desmedt, Y.; Frankel, Y.; Yung, M., Multi-receiver/multi-sender network security: efficient authenticated multicast/feedback, Proceedings of the the 11th Annual Conference of the IEEE Computer and Communications Societies [16] Yingchun, Q.; Tong, Z., Multiple authentication Code with multi-transmitter and its constructions, Journal of Zhongzhou University, 20, 1, 118-120 (2003) [17] Wen-Ping, M.; Xin-Mei, W., Several new constructions on multitransmitters authentication codes, Acta Electronica Sinica, 28, 4, 117-119 (2000) [18] Qingling, D.; Shuwang, L., Bounds and construction for multi-sender authentication code, Computer Engineering and Applications, 10, 9-10 (2004) [19] Chen, S.; Yang, C., A new construction of multisender authentication codes from symplectic geometry over finite fields, Ars Combinatoria, 106, 353-366 (2012) [20] Wan, Z., Geometry of Classical Groups over Finite Fields (2002), Beijing, China: Science Press, Beijing, China
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