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This research aims to determine the parameters of line Schubert symplectic Grassmann codes, which blend Schubert and symplectic conditions.

On the parameters of line Schubert symplectic Grassmann codes

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This research aims to determine the parameters of line Schubert symplectic Grassmann codes, which blend Schubert and symplectic conditions.
Studied linear codes derived from subvarieties of the Grassmannian.
Combined Schubert conditions with symplectic polarity conditions.
Calculated length, dimension, and minimum distance for various cases.
Established new parameters for line Schubert symplectic Grassmann codes.
Demonstrated significant properties when combining Schubert and symplectic conditions.
Provided insights into the behavior of polar Grassmann codes for general ℓ.

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This work investigates linear codes derived from Schubert and symplectic conditions in Grassmannians, revealing new code properties.

Bookamer et al. (2026) studied this question.

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