Algebraic-geometric codes and asymptotic problems
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Publication:1180622
DOI10.1016/0166-218X(91)90120-LzbMath0738.94017OpenAlexW2049941023MaRDI QIDQ1180622
Publication date: 27 June 1992
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-218x(91)90120-l
upper and lower boundslinear code\(q\)-ary codesasymptotic bounds of coding theorycodes from algebraic geometries
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)
Related Items (13)
On Group Structures Realized by Elliptic Curves over a Fixed Finite Field ⋮ Some Maximal Function Fields and Additive Polynomials ⋮ On codes over \(\mathrm{FFN}(1,q)\)-projective varieties ⋮ Unnamed Item ⋮ Good codes based on very sparse matrices ⋮ A note on optimal towers over finite fields ⋮ Constructions and bounds on linear error-block codes ⋮ Intersecting codes and separating codes ⋮ Asymptotic properties of zeta-functions ⋮ On improved asymptotic bounds for codes from global function fields ⋮ Frameproof codes against limited coalitions of pirates ⋮ Curves of large genus covered by the hermitian curve ⋮ Yet another variation on minimal linear codes
Cites Work
- Goppa codes that are better than the Varshamov-Gilbert bound
- Number of points of an algebraic curve
- Linear codes and modular curves
- An exhaustion bound for algebraic-geometric ``modular codes
- Notes on the asymptotic behavior of the information rate of block codes (Corresp.)
- Selbstduale Goppa-Codes
- Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
- A note on lower bounds (Corresp.)
- An improvement of the Gilbert bound for constant weight codes (Corresp.)
- On the decoding of algebraic-geometric codes
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