Bibliographic Details
| Title: |
On the P-construction of algebraic-geometry codes. |
| Authors: |
Toledano, R.1,2 (AUTHOR) ridatole@gmail.com, Vides, M.1,2 (AUTHOR) |
| Source: |
Finite Fields & Their Applications. Aug2024, Vol. 97, pN.PAG-N.PAG. 1p. |
| Subjects: |
Hilbert functions, Finite fields, Projective spaces, Set functions, Point set theory, Sheaf theory |
| Abstract: |
We construct algebraic-geometry codes by using projective systems from projective curves over a finite field and the global sections of invertible sheaves on these curves. We also prove a formula for the Hilbert function of a finite set of points in a projective space in terms of the rank of a matrix constructed with the Veronese embedding and we use it to estimate the minimum distance of the dual codes. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
