Error correction, lossy compression ... as you like it

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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