Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 63, 2015 - Issue 10: Proceedings from the 2013 International Conference on Matrix Analysis and Applications
Submit an article Journal homepage
431
Views
42
CrossRef citations to date
0
Altmetric
Articles

On ℤprℤps-additive codes

Ismail AydogduFaculty of Arts and Science, Department of Mathematics, Yildiz Technical University, Istanbul, Turkey.
&
Irfan SiapFaculty of Arts and Science, Department of Mathematics, Yildiz Technical University, Istanbul, Turkey.Correspondence[email protected]
Pages 2089-2102 | Received 12 Nov 2013, Accepted 01 Aug 2014, Published online: 01 Sep 2014

References

  • Hammons AR, Kumar PV, Calderbank AR, Sloane NJA, Sole P. The ℤ4–linearity of Kerdock, Preparata, Goethals, and related codes. IEEE Trans. Inform. Theory 1994;40:301–319.
  • Delsarte P. An algebraic approach to the association schemes of coding theory. Philips Res. Rep. Supp. 1973;10:vi+97.
  • Delsarte P, Levenshtein V. Association schemes and coding theory. IEEE Trans. Inform. Theory 1998;44:2477–2504.
  • Pujol J, Rifà J. Translation invariant propelinear codes. IEEE Trans. Inform. Theory 1997;43:590–598.
  • Borges J, Fernández-Córdoba C, Pujol J, Rifà J, Villanueva M. ℤ2ℤ4-linear codes: generator matrices and duality. Designs Codes Cryptography. 2010;54:167–179.
  • Aydogdu I, Siap I. The structure of ℤ2ℤ2s – additive codes: bounds on the minimum distance. Appl. Math. Inform. Sci. (AMIS). 2013;7:2271–2278.
  • Aydogdu I, Abualrub T, Siap I. On ℤ2ℤ2[u]-additive codes. Int. J. Comput. Math. 2014. doi:10.1080/00207160.2013.859854.
  • Carlet C. ℤ2k-linear codes. IEEE Trans. Inform. Theory. 1998;44:1543–1547.
  • Yildiz B, Odemis Ozger Z. A generalization of the Lee weight to ℤpk. TWMS J. App. Eng. Math. 2012;2:145–153.
  • Bilal M, Borges J, Dougherty ST, Fernández-Córdoba C. Maximum distance separable codes over ℤ4 and ℤ2 × ℤ4. Designs Codes Cryptogr. 2011;61:31–40.
  • Singleton RC. Maximum distance q-ary codes. IEEE Trans. Inform. Theory. 1964;10:116–118.
  • Dougherty ST, Shiromoto K. Maximum distance codes over rings of order 4. IEEE Trans. Inform. Theory. 2001;47:400–404.
  • Rifà J, Ronquillo L. Product perfect ℤ2ℤ4-linear codes in steganography. In: 2010 International Symposium on Information Theory and Its Applications (ISITA); 2010 Oct; Taichung, Taiwan. p. 696–701.
  • Rifà-Pous H, Rifà J, Ronquillo L. ℤ2ℤ4-Additive perfect codes in steganography. Adv. Math. Commun. 2011;5:425–433.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.