11 citations · 13 across the 4 of their papers we have counts for
5 papers
New Interleaving Constructions of Asymptotically Optimal Periodic Quasi-Complementary Sequence Sets
Gaojun Luo, Martianus Frederic Ezerman, San Ling
The correlation properties of sequences form a focal point in the design of multiple access systems of communications. Such a system must be able to serve a number of simultaneous…
Three New Infinite Families of Optimal Locally Repairable Codes from Matrix-Product Codes
Gaojun Luo, Martianus Frederic Ezerman, San Ling
Locally repairable codes have become a key instrument in large-scale distributed storage systems. This paper focuses on the construction of locally repairable codes with -lo…
A new generalized inverse of matrices from core-EP decomposition
Kezheng Zuo, Yu Li, Gaojun Luo
A new generalized inverse for a square matrix , called CCE-inverse, is established by the core-EP decomposition and Moore-Penrose inverse . We prop…
Optimal repairing schemes for Reed-Solomon codes with alphabet sizes linear in lengths under the rack-aware model
Lingfei Jin, Gaojun Luo, Chaoping Xing
In modern practical data centers, storage nodes are usually organized into equally sized groups, which is called racks. The cost of cross-rack communication is much more expensive…
MDS codes with arbitrary dimensional hull and their applications
Gaojun Luo, Xiwang Cao
The hull of linear codes have promising utilization in coding theory and quantum coding theory. In this paper, we study the hull of generalized Reed-Solomon codes and extended gene…