3 citations · 3 across the 6 of their papers we have counts for
7 papers
LDPC Fractus Codes: Sparse Codes with Recursive Structure
Jesús Carrillo-Pacheco
We introduce a new family of recursively constructed sparse matrices, termed Fractus matrices, and investigate their use in constructing low-density parity-check (LDPC) codes. Gene…
On connection Bruijn-Erdös Theorem and symplectic geometry
Jesús Carrillo-Pacheco
In this article a family of recursive and self-similar matrices is constructed. It is shown that the Plücker matrix of the Isotropic Grassmannian variety is a direct sum of this cl…
on lagrangian-grassmannian variety
Jesús Carrillo-Pacheco
In this paper it is shown that Family of Linear Relations of Contraction () are the only ones, up to linear combination, that vanish the Lagrangian-Grassmannian. It is shown…
Iterative methods to build LG-matrices and Applications
Jesús Carrillo-Pacheco, Fausto Jarquín-Zárate
In this paper we give a recursive algorithm to construct two families of -matrices, one sparse regular and the other dense. We study various properties of the two families o…
A note on the codimension of the linear section of the Lagrangian-Grassmannian L(6,12)
Jesús Carrillo-Pacheco, Fausto Jarquín-Zárate, Maurilio Velasco-Fuentes +1
Consider a -dimensional symplectic vector space over an arbitrary field . Given a contraction map such that the Lagra…
Codes on Linear Sections of Grassmannians
Jesús Carrillo-Pacheco, Felipe Zaldívar
We study algebraic geometry linear codes defined by linear sections of the Grassmannian variety as codes associated to FFN-projective varieties. As a consequence, we show th…
An explicit description in terms of Plücker coordinates of the Langrangian-Grassmannian
J. Carrillo-Pacheco, F. Jarquín-Zárate, M. Velasco-Fuentes +1
For an arbitrary field of any characteristic we give an explicit description, in terms of Plücker coordinates, of the projective linear space that cuts out the Lagrangian-Grassmann…