For the information transmission over a binary symmetric channel the random coding is used. The transmission of exponential number of messages is considered. The exact decoding error probability exponent is derived. The proof is based on the new results on the distribution of a certain sum of random variables.

翻译：针对二元对称信道上的信息传输，采用随机编码方法。考虑指数数量消息的传输过程，推导了精确的译码错误概率指数。其证明基于特定随机变量之和分布的新结果。