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On non-binary traceability set systems

Abstract

We introduce non-binary IPP set systems with traceability properties that have IPP codes and binary IPP set systems with traceability capabilities as particular cases. We prove an analogue of the Gilbert–Varshamov bound for such systems.

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Acknowledgements

Elena Egorova, Grigory Kabatiansky: The work of E.Egorova and G.Kabatiansky has been supported by the RFBR Grants 20-07-00652

Marcel Fernandez: The work of M. Fernández has been supported by the Spanish Government Grant TEC2015-68734-R and Catalan Government Grant SGR 782.

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Correspondence to Elena Egorova.

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This is one of several papers published in Designs, Codes and Cryptography comprising the “Special Issue on Coding and Cryptography 2019”.

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Egorova, E., Fernandez, M. & Kabatiansky, G. On non-binary traceability set systems. Des. Codes Cryptogr. 88, 1885–1892 (2020). https://doi.org/10.1007/s10623-020-00749-4

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Keywords

  • IPP schemes
  • IPP codes
  • IPP set system
  • Constant-weight codes

Mathematics Subject Classification

  • 94B60