An equidistant constant dimension subspace code C is a set of k-dimensional subspaces in a vector space V over the finite field of order q, which pairwise intersect in subspaces of a fixed dimension t. The classical example of an equidistant constant dimension subspace code C is a set of k-spaces, passing through a fixed t-space. This particular example is called a sunflower. The sunflower bound states that if the size of C is larger than (q(k)-q(t)/q-1)(2) + q(k)-q(t)/q-1 + 1, then C is a sunflower. We improve this sunflower bound for an equidistant constant dimension subspace code C of k-spaces, pairwise intersecting in a 1-space.

Improvement to the sunflower bound for a class of equidistant constant dimension subspace codes

Bartoli, D;
2021

Abstract

An equidistant constant dimension subspace code C is a set of k-dimensional subspaces in a vector space V over the finite field of order q, which pairwise intersect in subspaces of a fixed dimension t. The classical example of an equidistant constant dimension subspace code C is a set of k-spaces, passing through a fixed t-space. This particular example is called a sunflower. The sunflower bound states that if the size of C is larger than (q(k)-q(t)/q-1)(2) + q(k)-q(t)/q-1 + 1, then C is a sunflower. We improve this sunflower bound for an equidistant constant dimension subspace code C of k-spaces, pairwise intersecting in a 1-space.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1534995
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact