12 citations · 43 across the 16 of their papers we have counts for
6 papers · 1 filter
Maximum subsets of containing no right angles
Gennian Ge, Chong Shangguan
Recently, Croot, Lev, and Pach (Ann. of Math., 185:331--337, 2017.) and Ellenberg and Gijswijt (Ann. of Math., 185:339--443, 2017.) developed a new polynomial method and used it to…
A New Piggybacking Design for Systematic MDS Storage Codes
Chong Shangguan, Gennian Ge
Distributed storage codes have important applications in the design of modern storage systems. In a distributed storage system, every storage node has a probability to fail and onc…
New results for traitor tracing schemes
Chong Shangguan, Jingxue Ma, Gennian Ge
In the last two decades, several classes of codes are introduced to protect the copyrighted digital data. They have important applications in the scenarios like digital fingerprint…
Centralized coded caching schemes: A hypergraph theoretical approach
Chong Shangguan, Yiwei Zhang, Gennian Ge
The centralized coded caching scheme is a technique proposed by Maddah-Ali and Niesen as a solution to reduce the network burden in peak times in a wireless system. Later Yan et al…
Good traceability codes do exist
Gennian Ge, Chong Shangguan
Traceability codes are combinatorial objects introduced by Chor, Fiat and Naor in 1994 to be used to trace the origin of digital content in traitor tracing schemes. Let be an a…
Separating hash families: A Johnson-type bound and new constructions
Chong Shangguan, Gennian Ge
Separating hash families are useful combinatorial structures which are generalizations of many well-studied objects in combinatorics, cryptography and coding theory. In this paper,…