Duals of Affine Grassmann Codes and Their Relatives

DOI10.1109/TIT.2012.2187171zbMath1365.94579arXiv1107.3438OpenAlexW2083140365MaRDI QIDQ5271914

Beelen, Peter, Tom Høholdt, Sudhir R. Ghorpade

Publication date: 12 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3438

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (8)

Enumerative coding for line polar Grassmannians with applications to codes ⋮ The structure of dual Grassmann codes ⋮ Minimum distance and the minimum weight codewords of Schubert codes ⋮ Remarks on the Tsfasman-Boguslavsky Conjecture and higher weights of projective Reed-Muller codes ⋮ Automorphism groups of Grassmann codes ⋮ Vanishing ideals of projective spaces over finite fields and a projective footprint bound ⋮ The weight spectrum of certain affine Grassmann codes ⋮ Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes

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