4 papers · 1 filter
Explicit LCP of MDS Codes and LCD Codes on Hyperelliptic Curves via Mumford Representation
Adler Marques, Yuri da Silva, Saeed Tafazolian
We study algebraic geometry codes on hyperelliptic curves of genus with complementarity properties. Our first contribution is a characterization of non-special divisors…
Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes
Adler Marques, Yuri da Silva, Saeed Tafazolian
Linear Complementary Pairs (LCP) of algebraic geometry (AG) codes offer strong resistance against side-channel and fault-injection attacks, but their construction depends criticall…
Sequences of LCD AG codes and LCP of AG Codes attaining the Tsfasman-Vladut-Zink bound
Adler Marques, Luciane Quoos
Since Massey introduced linear complementary dual (LCD) codes in 1992 and Bhasin et al. later formalized linear complementary pairs (LCPs) of codes - structures with important cryp…
Linear Complementary dual codes and Linear Complementary pairs of AG codes in function fields
Alonso S. Castellanos, Adler V. Marques, Luciane Quoos
In recent years, linear complementary pairs (LCP) of codes and linear complementary dual (LCD) codes have gained significant attention due to their applications in coding theory an…