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More Constructions of 3-Weight Linear Codes

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  • Lingyong Ma
  • Guanjun Li
  • Fengyan Liu
  • Ahmed Mostafa Khalil

Abstract

Linear codes with few weights have become an interesting research topic and important applications of cryptography and coding theory. In this paper, we apply some ternary near-bent and 2-plateaued functions or r-ary functions to construct more 3-weight linear codes, where r is a prime. Moreover, we determine the weight distributions of the resulted linear codes by means of some exponential sums.

Suggested Citation

  • Lingyong Ma & Guanjun Li & Fengyan Liu & Ahmed Mostafa Khalil, 2021. "More Constructions of 3-Weight Linear Codes," Journal of Mathematics, Hindawi, vol. 2020, pages 1-9, January.
    • Handle: RePEc:hin:jjmath:6662843
    DOI: 10.1155/2020/6662843
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    1. Patrizia Ghisellini & Amos Ncube & Gianni D’Ambrosio & Renato Passaro & Sergio Ulgiati, 2021. "Potential Energy Savings from Circular Economy Scenarios Based on Construction and Agri-Food Waste in Italy," Energies, MDPI, vol. 14(24), pages 1-23, December.

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