Plane curves giving rise to blocking sets over finite fields
From MaRDI portal
Publication:6063135
DOI10.1007/s10623-023-01264-yarXiv2208.13299OpenAlexW4381742080MaRDI QIDQ6063135
Dragos Ghioca, Chi Hoi Yip, Shamil Asgarli
Publication date: 7 November 2023
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.13299
Finite affine and projective planes (geometric aspects) (51E15) Plane and space curves (14H50) Blocking sets, ovals, (k)-arcs (51E21) Curves over finite and local fields (11G20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the completeness of plane cubic curves over finite fields
- On constructing permutations of finite fields
- Frobenius non classical curves
- Blocking sets in Desarguesian affine and projective planes
- On the size of a blocking set in \(\text{PG}(2,p)\)
- On plane arcs contained in cubic curves
- On the Dickson-Guralnick-Zieve curve
- On complete arcs arising from plane curves
- On a generalization of Rédei's theorem
- Intersection distribution, non-hitting index and Kakeya sets in affine planes
- Small complete caps from singular cubics. II
- Points on singular Frobenius nonclassical curves
- On complete \((N,d)\)-arcs derived from plane curves
- Algebraic constructions of complete \(m\)-arcs
- Binomial Coefficients and the Distribution of the Primes
- Small Complete Caps from Singular Cubics
- Weierstrass Points and Curves Over Finite Fields
- The large sieve
- Complete arcs arising from a generalization of the Hermitian curve
- On the large sieve
- Baer subplanes and blocking sets
- SMOOTHNESS IN PENCILS OF HYPERSURFACES OVER FINITE FIELDS
- Absolute irreducibility of polynomials via Newton polytopes
