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This paper investigates the achievability of the interference channel coding.It is clarified that the rate-splitting technique is unnecessary to achieveHan-Kobayashi and Jian-Xin-Garg inner regions. Codes are constructed by usingsparse matrices (with logarithmic column degree) and theconstrained-random-number generators. By extending the problem, we canestablish a possible extension of known inner regions.

On the Achievability of Interference Channel Coding