Title :
On coding for the binary symmetric channel
Author :
Fontaine, A. B. ; Peterson, W. W.
Abstract :
Questions concerning coding for the binary symmetric channel might be divided into three categories: 1. For a specified error probability and with no restriction on the length of a code, what is the maximum rate at which information can be transmitted, i.e., what is the channel capacity? 2. For a specified code word length n and a specified rate less than the channel capacity, what is the error probability for the optimum code? 3. How can optimum codes, or at least good codes with a given rate and word length be constructed?
Keywords :
Decoding; Encoding; Equations; Error probability; Mathematical model; Parity check codes; Upper bound;
Journal_Title :
American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the
DOI :
10.1109/TCE.1958.6372700
