I am interested in Algebraic Combinatorics, Coding Theory, Error-Correcting Codes, Self-Dual Codes, Combinatorial Design Theory and so on.
Claude Shannon's paper "A Mathematical Theory of Communication" , written in 1948, started the discipline in electrical engineering called information theory, and also the branch of it called error-correcting codes.
It is unknown whether a binary doubly-even [72,36,16] code exists or not.   This is one of the long-standing open problems suggested by Sloane  in 1973.
位数４の有限体上の additive code について, 修士論文, 東北大学, 2016.
kensaito "at" ims.is.tohoku.ac.jp
Last Update: April 4, 2018