We are developing methods of error correction and data compression. Conventional practical methods were developed independently depending on the purpose and achieve fundamental limits only for specific channels/sources. To solve these problems, we developed a theory of coding method based on the constrained numbers (CoCoNuTS*) and proved mathematically that we can achieve the limits for any channels/sources by using this method. By using this unified theory, we can construct practical codes achieving the limits for many scenarios of transmission/storage. In future, this technology can be applied for highly reliable broadband transmission on a channel such as an optical fiber, a wireless LAN, and a mobile phone, and for high quality compact format for sounds and images on media/storage such as CD, DVD, BD, and a flush memory.
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