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Maximal hypersurfaces of degree \(d\) in \({{\mathbb{P}}}^n({{\mathbb{F}}}_q)\) and minimum weight spectrum of the generalized \(PRM (q, d, n)\)-code - MaRDI portal

Maximal hypersurfaces of degree \(d\) in \({{\mathbb{P}}}^n({{\mathbb{F}}}_q)\) and minimum weight spectrum of the generalized \(PRM (q, d, n)\)-code (Q6131541)

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scientific article; zbMATH DE number 7827788
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English
Maximal hypersurfaces of degree \(d\) in \({{\mathbb{P}}}^n({{\mathbb{F}}}_q)\) and minimum weight spectrum of the generalized \(PRM (q, d, n)\)-code
scientific article; zbMATH DE number 7827788

    Statements

    Maximal hypersurfaces of degree \(d\) in \({{\mathbb{P}}}^n({{\mathbb{F}}}_q)\) and minimum weight spectrum of the generalized \(PRM (q, d, n)\)-code (English)
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    5 April 2024
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    homogeneous polynomials
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    projective hypersurfaces
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    finite fields \({{\mathbb{F}}}_q\)
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    Reed-Muller codes
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