| 研究実績の概要 |
During FY 2017 the grant was used to support collaborative research at four universities listed below. Seminars were given at respective universities to disseminate the results of the Kiban-B project, and to stimulate further research in this area. This led to the identification of new topics of research in lattices for communications, and applications to data storage, listed below. This should lead to publication of joint papers research in following FYs.
Oregon State University (USA). Information theoretic quantization quantization based on backward channels, leading to a general theory of channel quantization. Codes designed for the Lee metric, particularly zero-error capacity codes, can be applied to the design of lattices decoded using the L1 norm. This has practical applications to data storage and high data-rate communications with non-Gaussian noise models.
Technion (Israel). Researchers here are developing DNA storage, and their technique is well suited for: 1. lattice coding to provide system reliability 2. binomial channel models to find the DNA storage capacity. This second topic is a three-way collaboration including the University of California Los Angeles.
Monash University (Australia). A new method for decoding low-density lattice codes (LDLCs) was jointly discovered, and will lead to a significantly reduced decoding complexity.
Texas A&M University (USA). Construction D' is promising for wireless communications, but useful lattice decoding algorithms are lacking. The collaboration led to a practical method for decoding Construction D' lattices.
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