Araştırma Makalesi

Lifted MDS Codes over Finite Fields

Cilt: 7 Sayı: 1 30 Nisan 2022
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Lifted MDS Codes over Finite Fields

Öz

MDS codes are elegant constructions in coding theory and have mode important applications in network coding, distributed data storage, communication systems etc. In this study, a method is given which MDS codes are lifted to a higher finite field. The presented method satisfies the protection of the distance and creating the MDS code over the $F_q$ by using MDS code over $F_p.$

Anahtar Kelimeler

Kaynakça

  1. [1] MacWilliams, F. J., Sloane, N. J. A., "The theory of error-correcting codes", Amsterdam: North-Holland (1977).
  2. [2] Hurley, T., "MDS codes over finitefields", arXiv:1903.05265 [cs.IT].
  3. [3] Gupta, K. C., Pandey, S. K., Ray, I. G., Samanta, S. "Crypto- graphically significant mds matrices over finite fields: A brief survey and some generalized results", Advances in Mathematics of Communications 13 (4) (2019) : 779-843.
  4. [4] Daemen, J., Rijmen, V., "The design of Rijndael: AES - The Advanced Encryption Standard, Springer-Verlag (2002).
  5. [5] Hu, Y., Zhang, X., Lee, P. P. C., Zhou, P., "Generalized optimal storage scaling via network coding", IEEE International Symposium on Information Theory - Proceedings, 2018-June, art. no. 8437684 (2018) : 956-960.
  6. [6] Guang, X., Yeung, R.W., "Linear network error correction coding revisited", IEEE International Symposium on Information Theory - Proceedings, 2020-June, art. no. 9174493 (2020) : 1635-1640.
  7. [7] Wu, X., Li, Q., Leung, V. C. M., Ching, P. C., "Joint Fronthaul multicast and cooperative beam- forming for cache-enabled cloud-based small cell networks: An MDS codes-aided approach", IEEE Transactions on Wireless Communications 18(10) art. no. 8786923 (2019) : 4970-4982.
  8. [8] Ko, D., Hong, B., Choi, W. "Probabilistic caching based on maximum distance separable code in a user-centric clustered cache-aided wireless network", IEEE Transactions on Wireless Communications 18(3) art. no. 8638790 (2019) : 1792-1804.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Nisan 2022

Gönderilme Tarihi

3 Aralık 2021

Kabul Tarihi

17 Mart 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 7 Sayı: 1

Kaynak Göster

APA
Oztas, E. S. (2022). Lifted MDS Codes over Finite Fields. Journal of Engineering Technology and Applied Sciences, 7(1), 45-49. https://doi.org/10.30931/jetas.1032180
AMA
1.Oztas ES. Lifted MDS Codes over Finite Fields. Journal of Engineering Technology and Applied Sciences. 2022;7(1):45-49. doi:10.30931/jetas.1032180
Chicago
Oztas, Elif Segah. 2022. “Lifted MDS Codes over Finite Fields”. Journal of Engineering Technology and Applied Sciences 7 (1): 45-49. https://doi.org/10.30931/jetas.1032180.
EndNote
Oztas ES (01 Nisan 2022) Lifted MDS Codes over Finite Fields. Journal of Engineering Technology and Applied Sciences 7 1 45–49.
IEEE
[1]E. S. Oztas, “Lifted MDS Codes over Finite Fields”, Journal of Engineering Technology and Applied Sciences, c. 7, sy 1, ss. 45–49, Nis. 2022, doi: 10.30931/jetas.1032180.
ISNAD
Oztas, Elif Segah. “Lifted MDS Codes over Finite Fields”. Journal of Engineering Technology and Applied Sciences 7/1 (01 Nisan 2022): 45-49. https://doi.org/10.30931/jetas.1032180.
JAMA
1.Oztas ES. Lifted MDS Codes over Finite Fields. Journal of Engineering Technology and Applied Sciences. 2022;7:45–49.
MLA
Oztas, Elif Segah. “Lifted MDS Codes over Finite Fields”. Journal of Engineering Technology and Applied Sciences, c. 7, sy 1, Nisan 2022, ss. 45-49, doi:10.30931/jetas.1032180.
Vancouver
1.Elif Segah Oztas. Lifted MDS Codes over Finite Fields. Journal of Engineering Technology and Applied Sciences. 01 Nisan 2022;7(1):45-9. doi:10.30931/jetas.1032180