33 citations · 80 across the 23 of their papers we have counts for
4 papers · 1 filter
Construction of optimal locally repairable codes via automorphism groups of rational function fields
Lingfei Jin, Liming Ma, Chaoping Xing
Locally repairable codes, or locally recoverable codes (LRC for short) are designed for application in distributed and cloud storage systems. Similar to classical block codes, ther…
Efficiently repairing algebraic geometry codes
Lingfei Jin, Yuan Luo, Chaoping Xing
Minimum storage regenerating codes have minimum storage of data in each node and therefore are maximal distance separable (MDS for short) codes. Thus, the number of nodes is upper…
Explicit MDS Codes with Complementary Duals
Peter Beelen, Lingfei Jin
In 1964, Massey introduced a class of codes with complementary duals which are called Linear Complimentary Dual (LCD for short) codes. He showed that LCD codes have applications in…
Algebraic geometry codes with complementary duals exceed the asymptotic Gilbert-Varshamov bound
Lingfei Jin, Chaoping Xing
It was shown by Massey that linear complementary dual (LCD for short) codes are asymptotically good. In 2004, Sendrier proved that LCD codes meet the asymptotic Gilbert-Varshamov (…