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2023-09-01
Seito, Takenobu, Shikata, Junji, Watanabe, Yohei.  2022.  Multi-Designated Receiver Authentication-Codes with Information-Theoretic Security. 2022 56th Annual Conference on Information Sciences and Systems (CISS). :84—89.
A multi-designated receiver authentication code (MDRA-code) with information-theoretic security is proposed as an extension of the traditional multi-receiver authentication code. The purpose of the MDRA-code is to securely transmit a message via a broadcast channel from a single sender to an arbitrary subset of multiple receivers that have been designated by the sender, and only the receivers in the subset (i.e., not all receivers) should accept the message if an adversary is absent. This paper proposes a model and security formalization of MDRA-codes, and provides constructions of MDRA-codes.
2018-11-28
Niu, Yongfeng, Qi, Yanfeng.  2017.  Ternary Linear Codes with Few Weights from Functions with Two Variables. Proceedings of the 2017 International Conference on Cryptography, Security and Privacy. :22–27.

How to construct good linear codes is an important problem in coding theory. This paper considers the construction of linear codes from functions with two variables, presents a class of two-weight and three-weight ternary linear codes and employs the Gauss sums and exponential sums to determine the parameters and weight distribution of these codes. Linear codes with few weights have applications in consumer electronics, communication and date storage systems. Linear codes with two weights have applications in strongly regular graphs and linear codes with three weights can be applied in association schemes.