Two-weight codes and second order recurrences

نویسندگان

  • Minjia Shi
  • Zhongyi Zhang
  • Patrick Solé
چکیده

Cyclic codes of dimension 2 over a finite field are shown to have at most two nonzero weights. This extends a construction of Rao et al (2010) and disproves a conjecture of Schmidt-White (2002). We compute their weight distribution, and give a condition on the roots of their check polynomials for them to be MDS.

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عنوان ژورنال:
  • CoRR

دوره abs/1709.04585  شماره 

صفحات  -

تاریخ انتشار 2017