长度为 $$t+1$$ 的 t 强多媒体 IPP 编码的构造

IF 1.4 2区数学 Q3 COMPUTER SCIENCE, THEORY & METHODS

Designs, Codes and Cryptography Pub Date : 2024-05-28 DOI:10.1007/s10623-024-01422-w

Jing Jiang, Fenggui Pei, Cailin Wen, Minquan Cheng, Henk D. L. Hollmann

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引用次数: 0

摘要

强多媒体可识别父属性代码（t-SMIPPC）被引入用于保护多媒体内容免受平均串通攻击下的非法再分发。这种代码具有追踪串通者的高效算法。然而，到目前为止，有关此类代码存在的研究成果还很少。在本文中，我们关注长度为 $t+1$ 的 t-SMIPPC，其中 $t \ge 2$ 是整数。我们首先改进了这种编码的大小下限。对于 $t=2$ 的情况，即长度为 3 的 2-SMIPPCs ，我们进一步研究了编码的组合特性。基于这些特性，我们为 $q\equiv 0,1,2,5 \pmod 6$ 构造了长度为 3 的最优 qary 2-SMIPPCs 。

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Constructions of t-strongly multimedia IPP codes with length $$t+1$$

Strongly multimedia identifiable parent property code (t-SMIPPC) was introduced for protecting multimedia contents from illegally redistributing under the averaging collusion attack. Such a code has efficient algorithms for tracing colluders. However, there are few results about the existence of such codes up to now. In this paper, we focus on t-SMIPPCs with length $t+1$ where $t \ge 2$ is an integer. We first improve the lower bound on the size of such codes. For the case $t=2$, i.e., 2-SMIPPCs with length 3, we further investigate combinatorial properties of the codes. Based on these properties, optimal q-ary 2-SMIPPCs with length 3 are constructed for $q\equiv 0,1,2,5 \pmod 6$.

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来源期刊

Designs, Codes and Cryptography 工程技术-计算机：理论方法

CiteScore

2.80

自引率

12.50%

发文量

157

审稿时长

16.5 months

期刊介绍： Designs, Codes and Cryptography is an archival peer-reviewed technical journal publishing original research papers in the designated areas. There is a great deal of activity in design theory, coding theory and cryptography, including a substantial amount of research which brings together more than one of the subjects. While many journals exist for each of the individual areas, few encourage the interaction of the disciplines. The journal was founded to meet the needs of mathematicians, engineers and computer scientists working in these areas, whose interests extend beyond the bounds of any one of the individual disciplines. The journal provides a forum for high quality research in its three areas, with papers touching more than one of the areas especially welcome. The journal also considers high quality submissions in the closely related areas of finite fields and finite geometries, which provide important tools for both the construction and the actual application of designs, codes and cryptographic systems. In particular, it includes (mostly theoretical) papers on computational aspects of finite fields. It also considers topics in sequence design, which frequently admit equivalent formulations in the journal’s main areas. Designs, Codes and Cryptography is mathematically oriented, emphasizing the algebraic and geometric aspects of the areas it covers. The journal considers high quality papers of both a theoretical and a practical nature, provided they contain a substantial amount of mathematics.