# 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 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.

### 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.

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