Research Interests

    I am interested in algebraic combinatorics, coding theory, combinatorial design theory and so on.

Personal

• Date of Birth: May 3, 1991
• Date of Place: Tsuruoka, Yamagata, Japan
• Hobby: Magic (Especially, card tricks using mathematical principles)

Education

• Graduate School of Information Sciences, Tohoku University
  April, 2016 - Present
• Master
  Graduate School of Information Sciences, Tohoku University
  April, 2014 - March, 2016
  Adviser: Masaaki Harada
  
• Bachelor
  Department of Mathematical Sciences, Faculty of Science, Yamagata University
  April, 2010 - March, 2014
  Adviser: Masaaki Harada
  

Submitted

1. On the minimum weights of binary LCD codes and ternary LCD codes
   M. Araya, M. Harada and K. Saito
   Finite Fields and Their Applications (submitted: 2020.11.18)
   [arXiv:1908.08661v3]

In Press

1. Characterization and classification of optimal LCD codes
   M. Araya, M. Harada and K. Saito
   Designs, Codes and Cryptogr (submitted: 2020.7.11, accepted: 2020.12.16)
   

In Print

1. Quaternary Hermitian linear complementary dual codes
   M. Araya, M. Harada and K. Saito
   IEEE Trans. Inform. Theory 66, (2020), 2751-2759 (published: 2020.4.23)
   [arXiv:1904.07517]
2. Remark on subcodes of linear complementary dual codes
   M. Harada and K. Saito
   Information Processing Letters 159-160, 105963 (published: 2020.4.21)
   [arXiv:1908.08662]
3. Binary linear complementary dual codes
   M. Harada and K. Saito
   Cryptography and Communications 11 (2019), 677-696 (published: 2019.7.2)
   [arXiv:1802.06985]
4. Self-dual additive $\mathbb{F}_4$-codes of lengths up to 40 represented by circulant graphs
   K. Saito
   Advances in Mathematics of Communications 13 (2019), 213-220 (published: 2019.2.19)
   
5. Singly even self-dual codes constructed from Hadamard matrices of order 28
   M. Harada and K. Saito
   Australasian Journal of Combinatorics 70 (2018), 288-296 (published: 2017.12.13)
   
6. On the classification of $\mathbb{Z}_4$-codes
   M. Araya, M. Harada, H. Ito and K. Saito
   Advances in Mathematics of Communications 11 (2017), 747-756 (published: 2017.11.30)
   

Seminars

• Combinatorics Seminar (at Graduate School of Information Sciences, Tohoku University)

Databases

• Classification of bordered circulant graph $\mathbb{F}_4$-codes
• Classification of additive circulant graph $\mathbb{F}_4$-codes
• Code Tables: Bounds on the parameters of various types of codes (by Markus Grassl)
• Database of self-dual codes (by Masaaki Harada and Akihiro Munemasa)