On the dual code of points and generators on the Hermitian variety H(2n + 1; q²)

Authors

M. de Boeck, Universiteit Gent
P. Vandendriessche, Universiteit Gent

Abstract

We study the dual linear code of points and generators on a non- singular Hermitian variety H(2n + 1; q2). We improve the earlier results for n = 2, we solve the minimum distance problem for general n, we classify the n smallest types of code words and we characterize the small weight code words as being a linear combination of these n types. © 2014 AIMS.

Publication Title

Advances in Mathematics of Communications

Recommended Citation

de Boeck, M., & Vandendriessche, P. (2014). On the dual code of points and generators on the Hermitian variety H(2n + 1; q²). Advances in Mathematics of Communications, 8 (3), 281-296. https://doi.org/10.3934/amc.2014.8.281