LCD codes and LCP of codes from units of group rings
Yıl: 2019 Cilt: 23 Sayı: 3 Sayfa Aralığı: 486 - 492 Metin Dili: İngilizce DOI: 10.16984/saufenbilder.459123 İndeks Tarihi: 25-11-2019
LCD codes and LCP of codes from units of group rings
Öz: A linear code with complementary dual (LCD) is a linear code such that CC 0. LCD codes are ofgreat importance due to their wide range of applications in consumer electronics, storage systems andcryptography. Group rings have a rich source of units. Also the well-known structural linear codes such ascyclic codes are within the family of group ring codes. Thus, group rings offer an affluent source forstructural codes that may lead to linear codes with good properties. In this work, we derive a condition forcodes obtained from units of group rings to be LCD. We show that a special decomposition of group ringsmeet the LCD condition. We also proposed a consruction of linear complementary pair (LCP) of codes.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- J. L. Massey, “Linear codes with complementary duals,” Discrete Math, vol. 106, pp. 337–342, 1992.
- N. Sendrier, “Linear codes with complementary duals meet the Gilbert- Varshamov bound,” Discrete Math, vol. 285, pp. 345-347, 2004.
- C. Carlet and S. Guilley, S. (2016). “Complementary dual codes for countermeasures to side-channel attacks,” Adv. Math. Commun, vol. 10, pp. 131-150, 2016.
- C.P. Milies, K.S. Sudarshan, “An introduction to group rings,” vol.1. Springer, Nedherlands, 2002.
- P. Hurley, T. Hurley, “Codes from zerodivisors and units in group rings,” Int. J. Inf. Coding Theory vol. 1 pp. 57-87, 2009.
- C. Carlet, C. Güneri, F. Özbudak, B. Özkaya, P. Solé, “On linear complementary pairs of codes”. IEEE Trans. Inform. Theory, vol. 64, pp. 6583-6589, 2018.
APA | KOROGLU M (2019). LCD codes and LCP of codes from units of group rings. , 486 - 492. 10.16984/saufenbilder.459123 |
Chicago | KOROGLU Mehmet E. LCD codes and LCP of codes from units of group rings. (2019): 486 - 492. 10.16984/saufenbilder.459123 |
MLA | KOROGLU Mehmet E. LCD codes and LCP of codes from units of group rings. , 2019, ss.486 - 492. 10.16984/saufenbilder.459123 |
AMA | KOROGLU M LCD codes and LCP of codes from units of group rings. . 2019; 486 - 492. 10.16984/saufenbilder.459123 |
Vancouver | KOROGLU M LCD codes and LCP of codes from units of group rings. . 2019; 486 - 492. 10.16984/saufenbilder.459123 |
IEEE | KOROGLU M "LCD codes and LCP of codes from units of group rings." , ss.486 - 492, 2019. 10.16984/saufenbilder.459123 |
ISNAD | KOROGLU, Mehmet E.. "LCD codes and LCP of codes from units of group rings". (2019), 486-492. https://doi.org/10.16984/saufenbilder.459123 |
APA | KOROGLU M (2019). LCD codes and LCP of codes from units of group rings. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(3), 486 - 492. 10.16984/saufenbilder.459123 |
Chicago | KOROGLU Mehmet E. LCD codes and LCP of codes from units of group rings. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23, no.3 (2019): 486 - 492. 10.16984/saufenbilder.459123 |
MLA | KOROGLU Mehmet E. LCD codes and LCP of codes from units of group rings. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.23, no.3, 2019, ss.486 - 492. 10.16984/saufenbilder.459123 |
AMA | KOROGLU M LCD codes and LCP of codes from units of group rings. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2019; 23(3): 486 - 492. 10.16984/saufenbilder.459123 |
Vancouver | KOROGLU M LCD codes and LCP of codes from units of group rings. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2019; 23(3): 486 - 492. 10.16984/saufenbilder.459123 |
IEEE | KOROGLU M "LCD codes and LCP of codes from units of group rings." Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23, ss.486 - 492, 2019. 10.16984/saufenbilder.459123 |
ISNAD | KOROGLU, Mehmet E.. "LCD codes and LCP of codes from units of group rings". Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23/3 (2019), 486-492. https://doi.org/10.16984/saufenbilder.459123 |