4 papers
Quasi-linear time decoding of RS and AG codes for burst errors up to the Singleton bound
Songsong Li, Shu Liu, Liming Ma +2
Despite of tremendous research on decoding Reed-Solomon (RS) and algebraic geometry (AG) codes under the random and adversary substitution error models, few studies have explored t…
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…