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Deligne-Lusztig varieties and group codes

https://doi.org/10.1007/bfb0087993
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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/10.1007/bf01810849openalex-snapshot
Group codes on certain algebraic curves with many rational points
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/10.1017/cbo9780511600623.005openalex-snapshot
Finite groups of Lie type
inferredcites →https://doi.org/10.1070/im1983v021n01abeh001641openalex-snapshot
ALGEBRAICO-GEOMETRIC CODES
inferredcites →https://doi.org/10.1090/cbms/039openalex-snapshot
Representations of Finite Chevalley Groups
inferredcites →https://doi.org/10.1090/memo/0080openalex-snapshot
Endomorphisms of linear algebraic groups
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/10.1112/blms/7.1.110openalex-snapshot
SIMPLE GROUPS OF LIE TYPE
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.
inferredcites →https://doi.org/10.2307/1971021openalex-snapshot
Representations of Reductive Groups Over Finite Fields
inferredcites →https://doi.org/10.2307/2372673openalex-snapshot
Algebraic Groups Over Finite Fields

What points at this work

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

inferred← citeshttps://doi.org/10.1006/ffta.2001.0313openalex-snapshot
Error-Correcting Codes from Higher-Dimensional Varieties
inferred← citeshttps://doi.org/10.1006/jabr.1999.8246openalex-snapshot
Nombre de points des surfaces de Deligne et Lusztig
inferred← citeshttps://doi.org/10.1006/jnth.1997.2148openalex-snapshot
On Maximal Curves
inferred← citeshttps://doi.org/10.1007/978-3-540-87448-5_13openalex-snapshot
Algebraic Geometry Codes from Castle Curves
inferred← citeshttps://doi.org/10.1007/978-94-017-0251-5_8openalex-snapshot
References
inferred← citeshttps://doi.org/10.1007/bf01195533openalex-snapshot
Two Applications of Weil-Serre?s Explicit Formula
inferred← citeshttps://doi.org/10.1007/bfb0087997openalex-snapshot
A function field related to the Ree group
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A new family of maximal curves over a finite field
inferred← citeshttps://doi.org/10.1007/s002290050127openalex-snapshot
Deligne-Lusztig curves as ray class fields
inferred← citeshttps://doi.org/10.1007/s10623-005-2153-6openalex-snapshot
The Automorphism Group of Plane Algebraic Curves with Singer Automorphisms
inferred← citeshttps://doi.org/10.1007/s10623-015-0164-5openalex-snapshot
Suzuki-invariant codes from the Suzuki curve
inferred← citeshttps://doi.org/10.1016/j.ffa.2011.09.004openalex-snapshot
On Frobenius incidence varieties of linear subspaces over finite fields
inferred← citeshttps://doi.org/10.1016/j.ffa.2017.07.007openalex-snapshot
Some Ree and Suzuki curves are not Galois covered by the Hermitian curve
inferred← citeshttps://doi.org/10.1016/j.ffa.2024.102514openalex-snapshot
The generalized Suzuki curve
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2013.11.016openalex-snapshot
Exact holomorphic differentials on a quotient of the Ree curve
inferred← citeshttps://doi.org/10.1016/j.jcta.2013.04.001openalex-snapshot
Towards a characterization of subfields of the Deligne–Lusztig function fields
inferred← citeshttps://doi.org/10.1016/j.jpaa.2018.12.006openalex-snapshot
On the Ree curve
inferred← citeshttps://doi.org/10.1016/s0022-314x(02)00070-7openalex-snapshot
Plane algebraic curves with Singer automorphisms
inferred← citeshttps://doi.org/10.1017/9781108877831.013openalex-snapshot
Toric Surfaces, Linear and Quantum Codes: Secret Sharing and Decoding
inferred← citeshttps://doi.org/10.1017/nmj.2026.10105openalex-snapshot
q -bic threefolds and their surface of lines
inferred← citeshttps://doi.org/10.1090/conm/637/12763openalex-snapshot
Smooth Embeddings for the Suzuki and Ree Curves
inferred← citeshttps://doi.org/10.1090/proc/13753openalex-snapshot
New maximal curves as ray class fields over Deligne-Lusztig curves
inferred← citeshttps://doi.org/10.1090/s0002-9939-2013-11581-9openalex-snapshot
The 𝑎-numbers of Jacobians of Suzuki curves
inferred← citeshttps://doi.org/10.1090/tran/8286openalex-snapshot
On the Zeta function and the automorphism group of the generalized Suzuki curve
inferred← citeshttps://doi.org/10.1093/imrn/rnv169openalex-snapshot
Canonical Projective Embeddings of the Deligne–Lusztig Curves Associated to2A2,2B2, and2G2
inferred← citeshttps://doi.org/10.1109/18.476212openalex-snapshot
Algebraic function fields over finite fields with many rational places
inferred← citeshttps://doi.org/10.1109/tcomm.2018.2875754openalex-snapshot
Classical and Quantum Convolutional Codes Derived From Algebraic Geometry Codes
inferred← citeshttps://doi.org/10.1109/tit.2024.3510874openalex-snapshot
List-Decoding of AG Codes Without Genus Penalty
inferred← citeshttps://doi.org/10.1142/9789812794017_0006openalex-snapshot
Algebraic Curves with Many Points over Finite Fields
inferred← citeshttps://doi.org/10.1142/9789812794017_0007openalex-snapshot
Algebraic Geometry Codes from Higher Dimensional Varieties
inferred← citeshttps://doi.org/10.1142/s1793830921501044openalex-snapshot
A comparison between Suzuki invariant code and one-point Hermitian code
inferred← citeshttps://doi.org/10.11606/t.55.2019.tde-10062019-161016openalex-snapshot
Three topics in algebraic curves over finite fields
inferred← citeshttps://doi.org/10.1216/rmjm/1022009294openalex-snapshot
Jacobians of Curves over Finite Fields
inferred← citeshttps://doi.org/10.17230/ingciencia.8.16.9openalex-snapshot
Sobre la distancia mínima de códigos AG unipuntuales castillo
inferred← citeshttps://doi.org/10.35376/10324/7319openalex-snapshot
Pesos de Hamming de códigos Castillo
inferred← citeshttps://doi.org/10.3934/amc.2018020openalex-snapshot
Locally recoverable codes with availability t≥2 from fiber products of curves
inferred← citeshttps://doi.org/10.4064/aa122-3-3openalex-snapshot
Quotient curves of the Suzuki curve
inferred← citeshttps://doi.org/10.4064/aa220303-17-12openalex-snapshot
Zeta functions of quadratic Artin–Schreier curves in characteristic two
inferred← citeshttps://doi.org/10.48550/arxiv.0711.0445openalex-snapshot
A new family of maximal curves over a finite field
inferred← citeshttps://doi.org/10.48550/arxiv.1503.02386openalex-snapshot
Riemann-Roch Spaces and Linear Network Codes
inferred← citeshttps://doi.org/10.48550/arxiv.alg-geom/9709013openalex-snapshot
On Weierstrass points and optimal curves
inferred← citeshttps://doi.org/10.48550/arxiv.math/0011091openalex-snapshot
The approach of St"ohr-Voloch to the Hasse-Weil bound with applications to optimal curves and plane arcs
inferred← citeshttps://doi.org/10.48550/arxiv.math/0206311openalex-snapshot
Quotient curves of the Deligne-Lusztig curve of Suzuki type
inferred← citeshttps://doi.org/10.7169/facm/2170openalex-snapshot
On cohomology and zeta functions of generalized Suzuki curves in characteristic two
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