The authors analyze the linear code C(Λ_σ) from the twisted embedding ε_σ of the point-hyperplane geometry, determining its parameters, minimum distance, automorphism group, and characterizations of low-weight codewords.
Algebraic geometric codes: basic notions , SERIES =
3 Pith papers cite this work, alongside 276 external citations. Polarity classification is still indexing.
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A single closed formula for the Hamming weight of every codeword in the affine Grassmann code C^A(2,m) is derived, unifying earlier case-by-case results.
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Linear codes arising from the point-hyperplane geometry -- Part II: the twisted embedding
The authors analyze the linear code C(Λ_σ) from the twisted embedding ε_σ of the point-hyperplane geometry, determining its parameters, minimum distance, automorphism group, and characterizations of low-weight codewords.
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Revisiting the Weight Spectrum of the Affine Grassmann Code $C^{\mathbb{A}}(2,m)$
A single closed formula for the Hamming weight of every codeword in the affine Grassmann code C^A(2,m) is derived, unifying earlier case-by-case results.
- The Weight Spectrum of the Affine Grassmann Code $C^{\mathbb A}(3,6)$