# Sixteen New Linear Codes With Plotkin Sum

@article{Hernando2008SixteenNL, title={Sixteen New Linear Codes With Plotkin Sum}, author={F. Hernando and D. Ruano}, journal={ArXiv}, year={2008}, volume={abs/0804.3507} }

Sixteen new linear codes are presented: three of them improve the lower bounds on the minimum distance for a linear code and the rest are an explicit construction of unknown codes attaining the lower bounds on the minimum distance. They are constructed using the Plotkin sum of two linear codes, also called $(u|u+v)$ construction. The computations have been achieved using an exhaustiv search.

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##### Publications referenced by this paper.

SHOWING 1-8 OF 8 REFERENCES

Bounds on the minimum distance of linear code s

- 2007

Bounds on the minimum distance of linear codes

- 2007

Macwilliams and N . Sloane , The Theory of Error - Correcting Codes , ser . North - Holland mathematical library

- 1977

Bounds on the minimum distance of linear codes