Browsing by Author "Vilar Algueró, Ricard"Més informació

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    • Array codes and graph decompositions 

      Vilar Algueró, Ricard (Universitat Politècnica de Catalunya, 2019-01)
      Bachelor thesis
      Open Access
      Array codes are intended to correct bursts of errors in communication through noisy channels. As in regular codes there is a notion of maximum distance separating (MDS) array codes. A so-called Perfect One-Factorization ...

    • Determining when a truncated generalised Reed-Solomon code is Hermitian self-orthogonal 

      Ball, Simeon Michael; Vilar Algueró, Ricard (Institute of Electrical and Electronics Engineers (IEEE), 2022-02-09)
      Article
      Open Access
      We prove that there is a Hermitian self-orthogonal k -dimensional truncated generalised Reed-Solomon code of length n¿q2 over Fq2 if and only if there is a polynomial g¿Fq2 of degree at most (q-k)q-1 such that g+gq has ...

    • MDS array codes and perfect factorizations of graphs 

      Vilar Algueró, Ricard (Universitat Politècnica de Catalunya, 2020-07)
      Master thesis
      Restricted access - author's decision
      Array Codes form a class of Error Correcting Codes which are specifically designed to deal with natural types of errors in communication devices which appear in clusters as opposite to randomly scattered within the string ...

    • The geometry of Hermitian self-orthogonal codes 

      Ball, Simeon Michael; Vilar Algueró, Ricard (Springer, 2021-12-20)
      Article
      Open Access
      We prove that if n>k2 then a k-dimensional linear code of length n over Fq2 has a truncation which is linearly equivalent to a Hermitian self-orthogonal linear code. In the contrary case we prove that truncations of linear ...