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Everything about Algebraic geometry code
Mathematical linear code
Algebraic geometry codes, often abbreviated AG codes, are a type of linear code that generalize Reed–Solomon codes. The Russian mathematician V. D. Goppa constructed these codes for the first time in 1982. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Algebraic geometry codeA 5-minute orientation
- Skim a recent paper: Lifting iso-dual algebraic geometry codesInfluential work since 2022
- Pick up a classic book: Algebraic codes on lines, planes, and curvesThe most-reprinted book on the subject
- Read the landmark paper: Algebraic-geometry codesCited 44 times
- Go sideways: K-theoryA closely related topic
- Go sideways: Shilov boundaryA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Algebraic-geometry codes
Repairing Algebraic Geometry Codes
Computational aspects of retrieving a representation of an algebraic geometry code
🆕 Influential since 2022
đź“š Books worth reading
Algebraic codes on lines, planes, and curvesRichard E. Blahut · 2008
Algebraic geometry codesM. A. Tsfasman, Michael Tsfasman · 2007
Algebraic aspects of the Advanced Encryption StandardCarlos Cid, Sean Murphy · 2006
Topics in Geometry, Coding Theory and CryptographyArnaldo Garcia, Henning Stichtenoth · 2006
Arithmetic, geometry, and coding theoryR. Pellikaan, M. Perret · 1996
Algebraic Geometry for Coding Theory and CryptographyEverett W. Howe, Kristin E. Lauter · 2017
Coding, cryptography, and combinatoricsWorkshop on Coding, Cryptography, and Combinatorics (2003 Huangshan Shi, China) · 2004
Selected Unsolved Problems in Coding TheoryDavid Joyner, Jon-Lark Kim · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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