Now showing items 1-20 of 56

• A bound for the maximum weight of a linear code ﻿

(2013-03-21)
Article
Open Access
It is shown that the parameters of a linear code over Fq of length n, dimension k, minimum weight d, and maximum weight m satisfy a certain congruence relation. In the case that q = p is a prime, this leads to the bound m ...
• A finite version of the Kakeya problem ﻿

(2016-06-02)
Article
Open Access
Let L be a set of lines of an affine space over a field and let S be a set of points with the property that every line of L is incident with at least N points of S. Let D be the set of directions of the lines of L considered ...
• A generalisation of Sylvester's problem to higher dimensions ﻿

(2017-07-01)
Article
Open Access
In this article we consider $S$ to be a set of points in $d$-space with the property that any $d$ points of $S$ span a hyperplane and not all the points of $S$ are contained in a hyperplane. The aim of this article is to ...
• A polynomial-time reduction from the multi-graph isomorphism problem to additive codeequivalence ﻿

(2021-12-02)
Article
Open Access
We present a polynomial-time reduction from the multi-graph isomorphism problem to the problem of code equivalence of additive codes over finite extensions of the field with two elements.

(2022)
Conference report
Open Access
We prove that an additive code over a finite field which has a few projections which are equivalent to a linear code is itself equivalent to a linear code, providing the code is not too short.
• ALA: Examen FQ: Primavera ﻿

(Universitat Politècnica de Catalunya, 2019-06-03)
Exam
• ALA: Examen FQ: Tardor ﻿

(Universitat Politècnica de Catalunya, 2019-01-10)
Exam
• ALA: Examen MQ: Primavera ﻿

(Universitat Politècnica de Catalunya, 2019-03-25)
Exam
• ALA: Examen MQ: Tardor ﻿

(Universitat Politècnica de Catalunya, 2019-10-29)
Exam
• Arcs and tensors ﻿

(2019-08-01)
Article
Open Access
To an arc A of PG(k-1,q) of size q+k-1-t we associate a tensor in ¿¿k,t(A)¿¿k-1 , where ¿k,t denotes the Veronese map of degree t defined on PG(k-1,q) . As a corollary we prove that for each arc A in PG(k-1,q) of size ...
• Arcs in finite projective spaces ﻿

(2019-11-23)
Article
Restricted access - publisher's policy
This is an expository article detailing results concerning large arcs in finite projective spaces. It is not strictly a survey but attempts to cover the most relevant results on arcs, simplifying and unifying proofs of ...
• CODES AND CRYPTOGRAPHY ﻿

(Universitat Politècnica de Catalunya, 2018-01-08)
Exam
• CODES AND CRYPTOGRAPHY ﻿

(Universitat Politècnica de Catalunya, 2017-10-31)
Exam
• CODES AND CRYPTOGRAPHY ﻿

(Universitat Politècnica de Catalunya, 2014-12-18)
Exam
• CODES AND CRYPTOGRAPHY ﻿

(Universitat Politècnica de Catalunya, 2018-10-30)
Exam
• CODES AND CRYPTOGRAPHY ﻿

(Universitat Politècnica de Catalunya, 2019-01-11)
Exam
• CODES AND CRYPTOGRAPHY ﻿

(Universitat Politècnica de Catalunya, 2014-11-05)
Exam
• CODES AND CRYPTOGRAPHY ﻿

(Universitat Politècnica de Catalunya, 2011-11-17)
Exam