2021/08/18 by Bingchen Qian, Xin Wang, Qian, Bingchen +3
Computer Science · Engineering · #Advanced Steganography and Watermarking Techniques #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2108.07987
openalex publication_date 2021/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Secure codes are widely-studied combinatorial structures which were introduced for traitor tracing in broadcast encryption. To determine the maximum size of such structures is the main research objective. In this paper, we investigate the lower bounds for secure codes and their related structures. First, we give some improved lower bounds for the rates of 2-frameproof codes and 2-separable codes for slightly large alphabet size. Then we improve the lower bounds for the rate of some related structures, i.e., strongly 2-separable matrices and 2-cancellative set families. Finally, we give a general method to derive new lower bounds for strongly t-separable matrices and t-cancellative set families for t≥ 3.