System Information Sciences

Mathematical System Analysis I B01

  • Prof. Masaaki Harada    
  • Assoc. Prof. Kei Funano    
  • Assis. Prof. Junya Takahashi    
KeywordsCoding theory, Combinatorial design theory, Global Analysis, Homogenization theory

Coding theory / Global Analysis and its applications


Harada Laboratory studies coding theory, combinatorial design theory and related combinatorial structures.  Our major topic in coding theory is self-dual codes by a combinatorial approach.   Recently, linear complementary dual codes are studied.  We are also interested in related combinatorial structures and discrete structures. Combinatorial designs are one of combinatorial structures. Our major topics in combinatorial design theory are symmetric designs, t-designs and Hadamard matrices by a combinatorial approach.


In Funano's Laboratory we are developing and applying the study of eigenvalues and eigenfunctions of the Laplacian. This reseach is concerned with both analysis and geometry, such as curvature and volume, and also with mathematical physics. If we think our domain as a drum then we can ask how eigenfrequencies behave when we play the drum. We are also interested in a discrete setting. In that case it is related with a construction of robust, efficient, economical networks, trafic jams, and clustering. One of our goal is to apply our study for such daily life problems.

  • Generator matrix of the extended Golay code

  • What kind of tones can you hear from a drum?