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    • The equivalence of linear codes implies semi-linear equivalence 

      Ball, Simeon Michael; Dixon, James (2022-07-01)
      Article
      Accés obert
      We prove that if two linear codes are equivalent then they are semi-linearly equivalent. We also prove that if two additive MDS codes over a field are equivalent then they are additively equivalent.

    • The geometry of Hermitian self-orthogonal codes 

      Ball, Simeon Michael; Vilar Algueró, Ricard (Springer, 2021-12-20)
      Article
      Accés obert
      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 ...

    • The polynomial method in Galois geometries 

      Ball, Simeon Michael (Nova Science Publishers, 2012)
      Capítol de llibre
      Accés restringit per política de l'editorial
      The polynomial method refers to the application of polynomials to combinatorial problems. The method is particularly effective for Galois geometries and a number of problems and conjectures have been solved using the ...