# Dual codes of projective planes of order 25

@article{Clark2003DualCO, title={Dual codes of projective planes of order 25}, author={K. L. Clark and Leslie D. Hatfield and Jennifer D. Key and Harold N. Ward}, journal={Advances in Geometry}, year={2003}, volume={3}, pages={140-152} }

We determine improved bounds for the minimum weight of the dual code over F5 of any projective plane of order 25 and describe configurations that could give words of mini- mum weight.

## 7 Citations

A lower bound for the minimum weight of the dual 7-ary code of a projective plane of order 49

- MathematicsDes. Codes Cryptogr.
- 2007

Combinatorial arguments are used to improve the range of bounds on the minimum weight d⊥ of the dual 7-ary code of a projective plane of order 49, noting that the upper bound can be taken to be 91 if the plane has a Baer subplane, as in the desarguesian case.

The minimum weight of dual codes from projective planes

- Computer Science
- 2007

This talk will provide a survey of what is known of the p-ary codes from projective planes of order divisible by p, what progress has been made recently, and give some new bounds for planes of some specific orders.

Embedded antipodal planes and the minimum weight of the dual code of points and lines in projective planes of order $p^2$

- Mathematics
- 2022

The minimum weight of the code generated by the incidence matrix of points versus lines in a projective plane has been known for over 50 years. Surprisingly, ﬁnding the minimum weight of the dual…

An upper bound for the minimum weight of the dual codes of desarguesian planes

- MathematicsEur. J. Comb.
- 2009

Contemporary Mathematics Linear codes from projective spaces

- Mathematics
- 2010

The linear code Cs,t(n, q) of s-spaces and t-spaces in a projective space PG(n, q), q = ph, p prime, is defined as the vector space spanned over Fp by the rows of the incidence matrix of s-spaces and…

Linear codes from projective spaces

- Mathematics, Computer Science
- 2010

This paper gives an overview of what is currently known about the codes C-s,C-t(n,q) and their duals.

The Dual Code of Points and t-Spaces in the Projective Space

- Computer Science
- 2011

The most important results on C1/t (n; q), the dual code of points and t-spaces in PG(n, q) are presented and a recent result about the classi cation of the small weight codewords in C 1/n-1( n, q), q even, is given.

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