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math.AG2024
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…
cs.IT2024
Self-orthogonal flags of codes and translation of flags of algebraic geometry codes
Maria Bras-Amorós, Alonso S. Castellanos, Luciane Quoos
A flag of linear codes is said to be self-orthogonal if the duals of the codes in the flag satisfy $C_{i}^\pe…
math.NT2024
Some families of non-isomorphic maximal function fields
Peter Beelen, Maria Montanucci, Jonathan Tilling Niemann +1
The problem of understanding whether two given function fields are isomorphic is well-known to be difficult, particularly when the aim is to prove that an isomorphism does not exis…