Yuri Nascimento da Silva

collaborators

3 papers

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 $g \geq 2$ with complementarity properties. Our first contribution is a characterization of non-special divisors…

math.AG2026

On the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q + 1} = X^{n} (X^{n} + 1)$

JoÃ£o Paulo Guardieiro, Yuri da Silva, Saeed Tafazolian

We study the algebraic curve over $F_{q^{2}}$ defined by $y^{q + 1} = x^{n} (x^{n} + 1)$ , where $n$ is a positive integer coprime to the characteristic. We first prove (when $q$ is o…

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…

Explicit LCP of MDS Codes and LCD Codes on Hyperelliptic Curves via Mumford Representation

On the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve Yq+1=Xn(Xn+1)

Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes

On the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q + 1} = X^{n} (X^{n} + 1)$