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math.AG2026
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 equipped with a rational Weierstrass point, with a focus on complementarity properties. Our first cont…
math.NT2026
On planar functions over
João Paulo Guardieiro, Adler Marques, Luciane Quoos +1
Let denote the finite field of order . For odd, we investigate the planarity over of the family $$ f_{E,A,B,C,D}(X) := EX^2+ AX^{q+1}+ BX^{…
math.AG2026
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…