New upper bounds for wide-sense frameproof codes

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

Designs, Codes and Cryptography Pub Date : 2025-04-18 DOI:10.1007/s10623-025-01631-x

Chengyu Sun, Xin Wang

引用次数: 0

Abstract

Frameproof codes are used to fingerprint digital data. It can prevent copyrighted materials from unauthorized use. To determine the maximum size of the frameproof codes is a crucial problem in this research area. In this paper, we study the upper bounds for frameproof codes under Boneh-Shaw descendant (wide-sense descendant). First, we give new upper bounds for wide-sense 2-frameproof codes to improve the known results. Then we take the alphabet size into consideration and answer an open question in this area. Finally, we improve the general upper bounds for wide-sense t-frameproof codes.

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宽义防帧码的新上界

防帧码用于指纹数字数据。它可以防止版权材料未经授权使用。确定防帧码的最大长度是该研究领域的一个关键问题。本文研究了bone - shaw后代（广义后代）下的防帧码的上界。首先，我们给出了宽义2帧防码的上界，以改进已知的结果。然后我们考虑字母表的大小，并回答这个领域的一个开放问题。最后，我们改进了广义t帧防码的一般上界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.