Short collusion-secure fingerprint codes against three pirates

In this article, we propose a new construction of probabilistic collusion-secure fingerprint codes against up to three pirates and give a theoretical security evaluation. Our pirate tracing algorithm combines a scoring method analogous to Tardos codes (J ACM 55:1-24, 2008) with an extension of parent search techniques of some preceding 2-secure codes. Numerical examples show that our code lengths are significantly shorter than (about 30-40% of) the shortest known c-secure codes by Nuida et al. (Des Codes Cryptogr 52:339-362, 2009) with c = 3.