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Group codes on certain algebraic curves with many rational points

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mana.19821090103openalex-snapshot
Modular curves, Shimura curves, and Goppa codes, better than Varshamov‐Gilbert bound
inferredcites →https://doi.org/10.1007/bf01072842openalex-snapshot
On the theory of group codes
inferredcites →https://doi.org/10.1016/0021-8693(90)90104-vopenalex-snapshot
On automorphisms of geometric Goppa codes
inferredcites →https://doi.org/10.1016/0022-4049(88)90046-1openalex-snapshot
Self-dual Goppa codes
inferredcites →https://doi.org/10.1016/s0304-0208(08)73384-xopenalex-snapshot
The Extended Reed-Solomon Codes Considered as Ideals or a Modular Algebra
inferredcites →https://doi.org/10.1070/im1983v021n01abeh001641openalex-snapshot
ALGEBRAICO-GEOMETRIC CODES
inferredcites →https://doi.org/10.1090/surv/006openalex-snapshot
Introduction to the Theory of Algebraic Functions of One Variable
inferredcites →https://doi.org/10.1109/18.21267openalex-snapshot
A note on Hermitian codes over GF(q/sup 2/)
inferredcites →https://doi.org/10.1109/tit.1987.1057327openalex-snapshot
Remarks on codes from Hermitian curves (Corresp.)
inferredcites →https://doi.org/10.1109/tit.1987.1057365openalex-snapshot
Codes on the Klein quartic, ideals, and decoding (Corresp.)
inferredcites →https://doi.org/10.1515/crll.1935.172.37openalex-snapshot
Theorie der relativ-zyklischen algebraischen Funktionenkörper, insbesondere bei endlichem Konstantenkörper.
inferredcites →https://doi.org/10.1515/crll.1962.209.6openalex-snapshot
A different with an odd class.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Algebraic geometric codes on certain plane curves
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Computing Weierstrass Semigroups and the Feng–Rao Distance from Singular Plane Models
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Error-Correcting Codes from Higher-Dimensional Varieties
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On Maximal Curves
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Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions
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Almost Independent and Weakly Biased Arrays: Efficient Constructions and Cryptologic Applications
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On Families of Hash Functions via Geometric Codes and Concatenation
inferred← citeshttps://doi.org/10.1007/978-3-540-87448-5_13openalex-snapshot
Algebraic Geometry Codes from Castle Curves
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Two-Point Codes on Norm-Trace Curves
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Automorphisms and Encoding of AG and Order Domain Codes
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An Extension of the Order Bound for AG Codes
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References
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Two Applications of Weil-Serre?s Explicit Formula
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On the structure of the divisor class group of a class of curves over finite fields
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Elementary Abelianp-extensions of algebraic function fields
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Deligne-Lusztig varieties and group codes
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Bounding the Trellis State Complexity of Algebraic Geometric Codes
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Nonlinear complexity from the Hermitian and the Suzuki function fields
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A new family of maximal curves over a finite field
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On automorphism groups of certain Goppa codes
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Suzuki-invariant codes from the Suzuki curve
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Codes with locality from cyclic extensions of Deligne–Lusztig curves
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Bases for Riemann–Roch spaces of linearized function fields with applications to generalized algebraic geometry codes
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An Approach to the Bases of Riemann-Roch Spaces
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Hermitian-invariant codes from the Hermitian curve
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The order bound for general algebraic geometric codes
inferred← citeshttps://doi.org/10.1016/j.ffa.2009.11.006openalex-snapshot
Coset bounds for algebraic geometric codes
inferred← citeshttps://doi.org/10.1016/j.ffa.2012.06.005openalex-snapshot
Delta sets for divisors supported in two points
inferred← citeshttps://doi.org/10.1016/j.ffa.2012.12.001openalex-snapshot
On the minimum distance of Castle codes
inferred← citeshttps://doi.org/10.1016/j.ffa.2018.07.001openalex-snapshot
Pure gaps on curves with many rational places
inferred← citeshttps://doi.org/10.1016/j.ffa.2019.02.002openalex-snapshot
Birational embeddings of the Hermitian, Suzuki and Ree curves with two Galois points
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2013.11.016openalex-snapshot
Exact holomorphic differentials on a quotient of the Ree curve
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A generalization of the Weierstrass semigroup
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Toric Surfaces, Linear and Quantum Codes: Secret Sharing and Decoding
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Constructions of block codes from algebraic curves over finite fields
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Universal Hashing and Geometric Codes
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The Newton Polygon of Plane Curves with Many Rational Points
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Some geometric-algebraic codes on a covering plane curve
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Smooth Embeddings for the Suzuki and Ree Curves
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An Introduction to Algebraic Geometry Codes
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New maximal curves as ray class fields over Deligne-Lusztig curves
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The 𝑎-numbers of Jacobians of Suzuki curves
inferred← citeshttps://doi.org/10.1090/s0025-5718-01-01390-4openalex-snapshot
Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes
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Tables of curves with many points
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On the Zeta function and the automorphism group of the generalized Suzuki curve
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Weighted Reed-Muller codes and algebraic-geometric codes
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Algebraic function fields over finite fields with many rational places
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On the decoding of algebraic-geometric codes
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The minimum distance of codes in an array coming from telescopic semigroups
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Systematic encoding via Grobner bases for a class of algebraic-geometric Goppa codes
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Which linear codes are algebraic-geometric?
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Group Codes On Deligne-Lusztig Varieties
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Classical and Quantum Convolutional Codes Derived From Algebraic Geometry Codes
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A goppa-like bound on the trellis state complexity of algebraic-geometric codes
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Geometric reed-solomon codes of length 64 and over 65 over F/sub 8/
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Codes From the Suzuki Function Field
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One-Point AG Codes on the GK Maximal Curves
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Minimum Distance Decoding of General Algebraic Geometry Codes via Lists
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Generalized Algebraic Geometric Codes From Maximal Curves
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Group Testing Schemes From Codes and Designs
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Codes With Hierarchical Locality From Covering Maps of Curves
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List-Decoding of AG Codes Without Genus Penalty
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A General Family of MSRD Codes and PMDS Codes with Smaller Field Sizes from Extended Moore Matrices
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Error-Correcting Codes on Projective Bundles over Deligne–Lusztig Varieties
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Pesos de Hamming de códigos Castillo
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Quotient curves of the Suzuki curve
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A new family of maximal curves over a finite field
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AG codes on certain maximal curves
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Embedding Suzuki curves in $\mathbb{P}^4$
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Suzuki-invariant codes from the Suzuki curve
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Riemann-Roch Spaces and Linear Network Codes
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Toric Varieties and Codes, Error-correcting Codes, Quantum Codes, Secret Sharing and Decoding
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The Deligne-Lusztig curve associated to the Suzuki group
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On Weierstrass points and optimal curves
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The approach of St"ohr-Voloch to the Hasse-Weil bound with applications to optimal curves and plane arcs
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Quotient curves of the Deligne-Lusztig curve of Suzuki type
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Algebraic geometry codes from surfaces over finite fields
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