A proposal for error-tolerating codes

An extended concept of error-tolerating codes is presented and some examples of error-tolerating codes are introduced. An erroneous codeword of the proposed error-tolerating code may occur in the codespace; however, in this case, the erroneous codeword is required to be in a defined neighborhood of the original codeword. When no error is detected in a word, the word may differ from the original codeword, but it is trustworthy and can be used in a system without any error-correction or error-recovery procedures. An error-tolerating code is presented as an example. This code can be used for to implement analog-to-digital converting devices which are useful for dependable high-speed real-time control systems.