On automorphisms of geometric Goppa codes
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Publication:911547
DOI10.1016/0021-8693(90)90104-VzbMath0696.94012MaRDI QIDQ911547
Publication date: 1990
Published in: Journal of Algebra (Search for Journal in Brave)
projective transformationsgeometric Goppa codeautomorphisms of function fieldsautomorphisms of generalized Reed-Solomon codes
Related Items (14)
Which extended Goppa codes are cyclic? ⋮ Investigation of automorphism group for code associated with optimal curve of genus three ⋮ On automorphisms of generalized algebraic-geometry codes ⋮ On the automorphisms of generalized algebraic geometry codes ⋮ On cyclic algebraic-geometry codes ⋮ On the unique representation of very strong algebraic geometry codes ⋮ Automorphisms of hyperelliptic GAG-codes ⋮ Automorphisms of hyperelliptic GAG-codes ⋮ Group codes on certain algebraic curves with many rational points ⋮ Hermitian codes with automorphism group isomorphic to \(\operatorname{PGL}(2,q)\) with \(q\) odd ⋮ On automorphism groups of certain Goppa codes ⋮ Weierstrass semigroup and automorphism group of the curves \(\mathcal{X}_{n,r}\) ⋮ The asymptotic behavior of automorphism groups of function fields over finite fields ⋮ Equality of geometric Goppa codes and equivalence of divisors
Cites Work
- Elliptic codes over fields of characteristic 2
- The automorphism groups of Reed-Solomon codes
- Self-dual Goppa codes
- Lectures on the theory of algebraic functions of one variable
- Generalized Reed - Solomon codes from algebraic geometry
- ALGEBRAICO-GEOMETRIC CODES
- Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
- Remarks on codes from Hermitian curves (Corresp.)
- Codes on the Klein quartic, ideals, and decoding (Corresp.)
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