Coding theory, the invariant theory for the finite fractional linear transformation groups and their applications to the number theory

Ozeki得到了关于40维偶非模格的一个显著结果。结果表明存在一对非等价的40维偶单模格，其2次的西格尔级数重合而3次的西格尔级数不同。Ozeki最近完成了一篇题为“关于S. Manni提出的问题”的研究论文。Ozeki提出了一种新的方法来解决由等球覆盖的n维晶格覆盖半径的问题，他正在准备一篇题为《用一般维等球覆盖整个空间的两种方法》的研究论文。他现在正在研究长度为64的二阶Reed-Muller码的协集权分布。Sawada发表了两篇研究论文，其中一篇题为“双边体系的效用”。Bannai发表了七篇研究论文，其中一篇题为“关于三维欧几里得积分格的注释”。Kitazume发表了两篇研究论文，讨论了有限置换群与自对偶码之间的关系。村林发表了一篇论文，题为。

Ozeki has obtained a remarkable result concerning the 40 dimensional even unimodular lattices. The result says that there are a pair of non equivalent 40 dimensional even unimodular lattices whose Siegel theta series of degree up to 2 coincide but Siegel theta series of degree 3 differ. Ozeki has recently completed the result as a research paper under the title "On a problem posed by S. Manni". Ozeki has conceived a new approach to the problem of determining the covering radius of n dimensional lattice covering by equal spheres, and he is preparing a research paper under the title "Two approaches to the lattice covering of whole space with equal spheres in general dimensions. He is now investigating the coset weight distributions of second order Reed-Muller code of length 64.Sawada has published two research papers including a paper entitled "On the utility of a bilateral system".Bannai has published seven research papers including a paper entitled "A note on integral Euclidean lattices in dimension 3". Kitazume has published two research papers which discuss the relation between the finite permutation groups and the self-dual codes.Murabayashi has published a paper entitled.