4 papers · 1 filter
New families of non-Reed-Solomon MDS codes
Lingfei Jin, Liming Ma, Chaoping Xing +1
MDS codes have garnered significant attention due to their wide applications in practice. To date, most known MDS codes are equivalent to Reed-Solomon codes. The construction of no…
A new family of binary sequences with a low correlation via elliptic curves
Lingfei Jin, Liming Ma, Chaoping Xing +1
In the realm of modern digital communication, cryptography, and signal processing, binary sequences with a low correlation properties play a pivotal role. In the literature, consid…
Encoding of algebraic geometry codes with quasi-linear complexity
Songsong Li, Shu Liu, Liming Ma +2
Fast encoding and decoding of codes have been always an important topic in code theory as well as complexity theory. Although encoding is easier than decoding in general, designing…
Asymptotic construction of locally repairable codes with multiple recovering sets
Singsong Li, Shu Liu, Liming Ma +1
Locally repairable codes have been extensively investigated due to practical applications in distributed and cloud storage systems in recent years. However, not much work on asympt…