On the Dimension of the Hull

@article{Sendrier1997OnTD,
  title={On the Dimension of the Hull},
  author={Nicolas Sendrier},
  journal={SIAM J. Discrete Math.},
  year={1997},
  volume={10},
  pages={282-293}
}
The hull AK90],,AK92, p. 43] of a linear code is deened to be its intersection with its dual. We give here the number of distinct q-ary linear codes which have a hull of given dimension. We will prove that, asymptotically, the proportion of q-ary codes whose hull has dimension l is a positive constant that only depends on l and q, and consequently that the average dimension of the hull is asymptotically a positive constant dependent of q. Sur la dimension de l'intersection d'un code et de son… CONTINUE READING
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