A Rapid Secret Sharing Scheme for Resource Constrained Environments

Zheng Chen, Xiaojing Wang, Sheng Cao, Dan Tang
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Abstract

A method of rapid secret sharing scheme based on STAR codes is proposed. Due to the characteristic of array codes such as STAR codes, the computation in secret sharing scheme need only XOR operation on GF(2), which is distinguished with the modulation and other complex operation on GF(q) in the traditional schemes. Thus, it's more rapid and suitable for large capacity secret sharing, and also appropriate for resource constrained environments, such as embedded systems. The process of distribution and reconstruction of the secret key in our scheme is depicted in details, and an example of (5, 8) threshold secret sharing scheme based on (8, 5, 4) STAR code is demonstrated. Our scheme is proved to be perfect and ideal.
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一种资源受限环境下的快速秘密共享方案
提出了一种基于STAR码的快速秘密共享方案。由于STAR码等阵列码的特点,秘密共享方案的计算只需要对GF(2)进行异或运算,而传统方案需要对GF(q)进行调制等复杂运算。因此,它更快速,更适合大容量的秘密共享,也适用于资源受限的环境,如嵌入式系统。详细描述了该方案中密钥的分发和重构过程,并给出了一个基于(8,5,4)STAR码的(5,8)门限密钥共享方案的实例。实践证明,我们的方案是完善和理想的。
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