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The circular external difference family and its strong version, which themselves are of independent combinatorial interest, were proposed as variants of the difference family to construct new unconditionally secure non-malleable threshold…

组合数学 · 数学 2023-10-31 Huawei Wu , Jing Yang , Keqin Feng

The need for secrecy and security is essential in communication. Secret sharing is a conventional protocol to distribute a secret message to a group of parties, who cannot access it individually but need to cooperate in order to decode it.…

量子物理 · 物理学 2017-01-16 Ioannis Kogias , Yu Xiang , Qiongyi He , Gerardo Adesso

Non-malleable codes are fundamental objects at the intersection of cryptography and coding theory. These codes provide security guarantees even in settings where error correction and detection are impossible, and have found applications to…

密码学与安全 · 计算机科学 2024-02-28 Naresh Goud Boddu , Vipul Goyal , Rahul Jain , João Ribeiro

Non-malleable secret sharing was recently proposed by Goyal and Kumar in independent tampering and joint tampering models for threshold secret sharing (STOC18) and secret sharing with general access structure (CRYPTO18). The idea of making…

密码学与安全 · 计算机科学 2019-06-18 Fuchun Lin , Mahdi Cheraghchi , Venkatesan Guruswami , Reihaneh Safavi-Naini , Huaxiong Wang

(Strong) circular external difference families (which we denote as CEDFs and SCEDFs) can be used to construct nonmalleable threshold schemes. They are a variation of (strong) external difference families, which have been extensively studied…

组合数学 · 数学 2023-10-30 Maura B. Paterson , Douglas R. Stinson

In this paper we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under {\em restricted local operation and classical communication}. Based on this local distinguishability analysis we…

量子物理 · 物理学 2015-05-19 Ramij Rahaman , Matthew G. Parker

Non-malleable-codes introduced by Dziembowski, Pietrzak and Wichs [DPW18] encode a classical message $S$ in a manner such that tampering the codeword results in the decoder either outputting the original message $S$ or a message that is…

密码学与安全 · 计算机科学 2023-06-12 Divesh Aggarwal , Naresh Goud Boddu , Rahul Jain

This paper provides a mathematical analysis of optimal algebraic manipulation detection (AMD) codes. We prove several lower bounds on the success probability of an adversary and we then give some combinatorial characterizations of AMD codes…

组合数学 · 数学 2015-06-10 Maura B. Paterson , Douglas R. Stinson

Group oriented applications are getting more and more popular in mobile Internet and call for secure and efficient secret sharing (SS) scheme to meet their requirements. A $(t,n)$ threshold SS scheme divides a secret into $n$ shares such…

密码学与安全 · 计算机科学 2021-04-13 Fuyou Miao , Yue Yu , Keju Meng , Wenchao Huang , Yan Xiong

Non-malleable codes protect against an adversary who can tamper with the coded message by using a tampering function in a specified function family, guaranteeing that the tampering result will only depend on the chosen function and not the…

信息论 · 计算机科学 2019-07-04 Fuchun Lin , San Ling , Reihaneh Safavi-Naini , Huaxiong Wang

Non-malleable codes are randomized codes that protect coded messages against modification by functions in a tampering function class. These codes are motivated by providing tamper resilience in applications where a cryptographic secret is…

密码学与安全 · 计算机科学 2017-08-21 Fuchun Lin , Reihaneh Safavi-Naini , Mahdi Cheraghchi , Huaxiong Wang

Secret sharing schemes based on the idea of hidden multipliers in encryption are proposed. As a platform, one can use both multiplicative groups of finite fields and groups of invertible elements of commutative rings, in particular,…

密码学与安全 · 计算机科学 2021-08-17 Vitaly Roman'kov

A probabilistic secret sharing scheme is a joint probability distribution of the shares and the secret together with a collection of secret recovery functions. The study of schemes using arbitrary probability spaces and unbounded number of…

密码学与安全 · 计算机科学 2022-10-25 László Csirmaz

In this paper, we give the mutually unbiased bases on the p^2 -dimensional quantum system where p is an odd prime number, and construct the corresponding unitary transformation based on the properties of these mutually unbiased bases. Then,…

量子物理 · 物理学 2018-01-19 Na Hao , Zhi-Hui Li , Hai-Yan Bai , Chen-Ming Bai

We construct efficient, unconditional non-malleable codes that are secure against tampering functions computed by small-depth circuits. For constant-depth circuits of polynomial size (i.e. $\mathsf{AC^0}$ tampering functions), our codes…

计算复杂性 · 计算机科学 2018-02-22 Marshall Ball , Dana Dachman-Soled , Siyao Guo , Tal Malkin , Li-Yang Tan

Sequential Quantum Secret Sharing schemes (QSS) do not use entangled states for secret sharing, rather they rely on sequential operations of the players on a single state which is circulated between the players. In order to check the…

量子物理 · 物理学 2017-10-02 Marzieh Asoudeh , Vahid Karimipour

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

量子物理 · 物理学 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

In this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as…

密码学与安全 · 计算机科学 2015-02-05 Xuan Guang , Jiyong Lu , Fang-Wei Fu

Non-malleable codes were introduced by Dziembowski, Pietrzak, and Wichs (JACM 2018) as a generalization of standard error correcting codes to handle severe forms of tampering on codewords. This notion has attracted a lot of recent research,…

密码学与安全 · 计算机科学 2018-11-05 Eshan Chattopadhyay , Xin Li

In this paper, we study the relationship between algebraic manipulation detection (AMD) codes and highly nonlinear functions. As applications, on one hand, a generic construction for systematic AMD codes is introduced based on highly…

组合数学 · 数学 2020-02-11 Minfeng Shao , Ying Miao
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