Skip to main content
Log in

LCD codes arising from wavelets

  • Special Issue in Honor of Rafael H. Villarreal on the Occasion of His 70th Birthday
  • Published:
São Paulo Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

In this work a linear complementary dual code associated to the Haar wavelet transform over the finite field \({\mathbb {Z}}_p\) for certain values for p is given. Examples are presented illustrating the results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Carlet, C., Guilley, S.: Complementary dual codes for counter-measures to side-channel attack. AIMS 10(1), 131–150 (2016)

    MathSciNet  MATH  Google Scholar 

  2. de la Cruz, J., Willems, W.: On group codes with complementary duals. Des. Codes Cryptog. 86, 2065–2073 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  3. Ferki, F., Delgosha, F.: Finite-Field Wavelets with Applications in Cryptography and Coding. Prentice Hall, Hoboken (2011)

    Google Scholar 

  4. Key, J.D., Rodrigues, B.G.: LCD codes from adjacency matrices of a graph. AAECC 29(3), 227–244 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  5. Massey, J.L.: Linear codes with complementary duals. Discrete Math. 106–107, 337–342 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  6. Niven, I., Zuckerman, H.S.: Introduction to the Theory of Numbers, 2nd edn. Wiley, New York (1984)

    MATH  Google Scholar 

  7. Walker, J.S.: A Primer on Wavelets and their Scientific Applications. Chapman & Hall CRC, Boca Raton (1999)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Horacio Tapia-Recillas.

Additional information

Communicated by Carlos Rentería.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

de Melo-Hernández, F.D., Hernández-Melo, C.A. & Tapia-Recillas, H. LCD codes arising from wavelets. São Paulo J. Math. Sci. 17, 300–305 (2023). https://doi.org/10.1007/s40863-022-00312-0

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40863-022-00312-0

Keywords

Mathematics Subject Classification

Navigation