Some applications of Magma in designs and codes: Oval designs, Hermitian unitals and generalized Reed-Muller codes

DOI10.1006/jsco.1999.1007zbMath0971.05021OpenAlexW2060902904MaRDI QIDQ5928879

Jennifer D. Key

Publication date: 21 October 2001

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.1999.1007

zbMATH Keywords

affine geometryReed-Muller codesSteiner systemsapplications of Magmadifference-set designsHadamard designsHermitian unitalhyperplanessymmetric designs

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Other designs, configurations (05B30) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22)

Related Items

Hermitian function fields, classical unitals, and representations of 3-dimensional unitary groups., Regular LDPC codes from semipartial geometries

Uses Software

• Magma

Cites Work

• Bruck nets, codes, and characters of loops
• On symmetric and quasi-symmetric designs with the symmetric difference property and their codes
• Plane geometries associated with certain 2-transitive groups
• Bases of minimum-weight vectors for codes from designs
• On GMW designs and a conjecture of Assmus and Key
• Designs and codes: An update
• On the Construction of Sets of Mutually Orthogonal Latin Squares and the Falsity of a Conjecture of Euler
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Strongly Regular Graphs Derived from Combinatorial Designs
• The Structure of the Group Ring of a p-Group Over a Modular Field
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