zbMath1127.94001MaRDI QIDQ3596012
Michael A. Tsfasman, Dmitrii Yu. Nogin, S. G. Vleduts
Publication date: 29 August 2007
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
The $a$-number of jacobians of certain maximal curves ⋮
Every finite abelian group is the group of rational points of an ordinary abelian variety over 𝔽₂, 𝔽₃ and 𝔽₅ ⋮
Cryptanalysis of Public-Key Cryptosystems That Use Subcodes of Algebraic Geometry Codes ⋮
On Fibre Products of Kummer Curves with Many Rational Points over Finite Fields ⋮
Artin-Schreier curves given by \(\mathbb{F}_q\)-linearized polynomials ⋮
On the graph of non-degenerate linear \([n,2_2\) codes] ⋮
Cones from maximum \(h\)-scattered linear sets and a stability result for cylinders from hyperovals ⋮
Two pointsets in \(\mathrm{PG}(2,q^n)\) and the associated codes ⋮
Codes with few weights arising from linear sets ⋮
Small complete caps in PG(4n+1,q)${\rm PG}(4n+1, q)$ ⋮
Linear codes associated to symmetric determinantal varieties: even rank case ⋮
Higher Grassmann codes. II ⋮
Relative generalized Hamming weights of evaluation codes ⋮
Geometry of smooth extremal surfaces ⋮
On maximal cliques in the graph of simplex codes ⋮
The Poincaré Polynomial of a Linear Code ⋮
ON APPLICATION OF ALGEBRAIC GEOMETRY CODES OF L-CONSTRUCTION IN COPY PROTECTION ⋮
Minimum distance functions of complete intersections ⋮
Codes and the Cartier operator ⋮
Unnamed Item ⋮
Varieties over finite fields: quantitative theory ⋮
Constructing Partial MDS Codes from Reducible Algebraic Curves ⋮
Direct products in projective Segre codes ⋮
On the distance between linear codes ⋮
On cutting blocking sets and their codes ⋮
Bases of Riemann-Roch spaces from Kummer extensions and algebraic geometry codes ⋮
Enumerative coding for line polar Grassmannians with applications to codes ⋮
Chow's theorem for linear codes ⋮
Sextic Double Solids ⋮
Further results on rational points of the curve \(y^{q^n}-y=\gamma x^{q^h+1}-\alpha \) over \(\mathbb F_{q^m}\) ⋮
A Computability Challenge: Asymptotic Bounds for Error-Correcting Codes ⋮
Near-MDS codes from elliptic curves ⋮
Multigraded Hilbert functions and toric complete intersection codes ⋮
Secure computation using leaky correlations (asymptotically optimal constructions) ⋮
Lattice polytopes in coding theory ⋮
Toric codes and lattice ideals ⋮
Lower bounds on minimal distance of evaluation codes ⋮
Resultantal varieties related to zeroes of \(L\)-functions of Carlitz modules ⋮
Explicit maximal and minimal curves over finite fields of odd characteristics ⋮
Classification of zeta functions of bielliptic surfaces over finite fields ⋮
On codes over \(\mathrm{FFN}(1,q)\)-projective varieties ⋮
Minimum distance functions of graded ideals and Reed-Muller-type codes ⋮
A note on diagonal and Hermitian hypersurfaces ⋮
On the regularity of configurations of \(\mathbb F_q\)-rational points in projective space ⋮
Pure resolutions, linear codes, and Betti numbers ⋮
Tropical approach to Nagata's conjecture in positive characteristic ⋮
Minimum distance and the minimum weight codewords of Schubert codes ⋮
Error-correcting codes and neural networks ⋮
Block transitive codes attaining the Tsfasman-Vladut-Zink bound ⋮
Some hypersurfaces over finite fields, minimal codes and secret sharing schemes ⋮
On cyclic algebraic-geometry codes ⋮
Duals of linearized Reed-Solomon codes ⋮
Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields ⋮
On the geometry of Hermitian one-point codes ⋮
Divisible arcs, divisible codes, and the extension problem for arcs and codes ⋮
Traceability codes and their generalizations ⋮
The most efficient indifferentiable hashing to elliptic curves of \(j\)-invariant 1728 ⋮
Affine Cartesian codes with complementary duals ⋮
Linear codes associated to skew-symmetric determinantal varieties ⋮
The graphs of non-degenerate linear codes ⋮
Minimum distance of symplectic Grassmann codes ⋮
Lower bounds on the class number of algebraic function fields defined over any finite field ⋮
Line polar Grassmann codes of orthogonal type ⋮
Complete intersection vanishing ideals on sets of clutter type over finite fields ⋮
Toric codes from order polytopes ⋮
Bounding invariants of fat points using a coding theory construction ⋮
The minimum distance of parameterized codes on projective tori ⋮
Maximal order codes over number fields ⋮
Construction of rational surfaces yielding good codes ⋮
Weierstrass semigroup and codes over the curve \(y^q + y = x^{q^r + 1}\) ⋮
The minimum distance of sets of points and the minimum socle degree ⋮
Finite number of fibre products of Kummer covers and curves with many points over finite fields ⋮
Affine Cartesian codes ⋮
Automorphism groups of Grassmann codes ⋮
Codes and caps from orthogonal Grassmannians ⋮
On the lattices from elliptic curves over finite fields ⋮
Multiplicative lattices in global fields ⋮
Evaluation codes and their basic parameters ⋮
On the lattice Hadwiger number of superballs and some other bodies ⋮
Families of algebraic varieties and towers of algebraic curves over finite fields ⋮
Asymptotic properties of zeta-functions over finite fields ⋮
The weight spectrum of certain affine Grassmann codes ⋮
Locally recoverable codes correcting many erasures over small fields ⋮
Explicit maximal and minimal curves of Artin-Schreier type from quadratic forms ⋮
Higher Grassmann codes ⋮
Mac Williams identities for linear codes as Riemann-Roch conditions ⋮
Line Hermitian Grassmann codes and their parameters ⋮
Minimum distance of orthogonal line-Grassmann codes in even characteristic ⋮
The graph of 4-ary simplex codes of dimension 2 ⋮
Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus ⋮
Intersection sets, three-character multisets and associated codes ⋮
Rational maps and maximum likelihood decodings ⋮
Distance bounds for algebraic geometric codes ⋮
On \(q\)-ary bent and plateaued functions ⋮
Toric forms of elliptic curves and their arithmetic ⋮
Higher weights for the Lagrangian-Grassmannian codes ⋮
Generalized minimum distance functions ⋮
On dual toric complete intersection codes ⋮
The groups of points on abelian varieties over finite fields ⋮
Implementing line-Hermitian Grassmann codes ⋮
Generalized Hamming weights of projective Reed-Muller-type codes over graphs ⋮
Generalized minimum distance functions and algebraic invariants of Geramita ideals ⋮
On the De Boer-Pellikaan method for computing minimum distance ⋮
Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes ⋮
Codes from unit groups of division algebras over number fields ⋮
Intersections of the Hermitian surface with irreducible quadrics in even characteristic ⋮
The dual of an evaluation code ⋮
Open problems in finite projective spaces ⋮
Linear codes over signed graphs ⋮
The graphs of projective codes ⋮
A note on the weight spectrum of the Schubert code \(C_{\alpha }(2, m)\) ⋮
Counting plane cubic curves over finite fields with a prescribed number of rational intersection points ⋮
Some effective results on the Tsfasman-Vlăduţ invariants ⋮
Vanishing ideals over finite fields ⋮
Quadratic forms of codimension 2 over finite fields containing \(\mathbb F_4\) and Artin-Schreier type curves ⋮
Binary curves of small fixed genus and gonality with many rational points ⋮
The 𝑎-numbers of Jacobians of Suzuki curves ⋮
Power error locating pairs ⋮
Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes ⋮
The Degree and Regularity of Vanishing Ideals of Algebraic Toric Sets Over Finite Fields ⋮
The rank of the Cartier operator on certain \(F_q^2\)-maximal function fields ⋮
Further results on fibre products of Kummer covers and curves with many points over finite fields