New cubic self-dual codes of length 54, 60 and 66

Date

2017-10-09

Author

Çomak, Pınar
Kım, Jon Lark
Özbudak, Ferruh

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On behalf of the organizing committee we would like to welcome you, the workshop dedicated to the 15th anniversary of the foundation of Institute of Applied Mathematics (IAM) at Middle East Technical University (METU). It will be held on October 9, 2017 in MM25 Hall. The aim is to highlight the recent advances in applied and computational mathematics as well as to demonstrate their applicability in science, engineering, and industry. In addition to the traditional and strong focus in applied and computational mathematics, the special emphasis was given to information security and cryptology, financial mathematics, actuarial sciences, scientific computing, and their applications. In the morning section, the invented speaker Alfred Menezes (Canada) will give a talk on the recent developments related to post-quantum cryptography. In the afternoon section, achievements and prospects of the IAM will be discussed in the panel.

Subject Keywords

Quasi-cyclic codes, Self-dual codes, Cubic construction

URI

https://hdl.handle.net/11511/74877
http://iam.metu.edu.tr/15th-anniversary-foundation-institute-applied-mathematics

Conference Name

15th Anniversary of the Foundation of the Institute of Applied Mathematics (09 Ekim 2017)

Collections

Department of Mathematics, Conference / Seminar

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New cubic self-dual codes of length 54, 60 and 66 Comak, PINAR; Kim, Jon Lark; Özbudak, Ferruh (2018-08-01) We study the construction of quasi-cyclic self-dual codes, especially of binary cubic ones. We consider the binary quasi-cyclic codes of length with the algebraic approach of Ling and Sol, (IEEE Trans Inf Theory 47(7):2751-2760, 2001. doi:. In particular, we improve the previous results by constructing 1 new binary [54, 27, 10], 6 new [60, 30, 12] and 50 new [66, 33, 12] cubic self-dual codes. We conjecture that there exist no more binary cubic self-dual codes with length 54, 60 and 66.
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Citation Formats

P. Çomak, J. L. Kım, and F. Özbudak, “New cubic self-dual codes of length 54, 60 and 66,” presented at the 15th Anniversary of the Foundation of the Institute of Applied Mathematics (09 Ekim 2017), Ankara, Türkiye, 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/74877.