encoding

…in the construction of error-correcting codes. A row vector c′ is taken as a code word if and only if c′H = 0. The code words then are of length n and differ in at least t + 1 places. If t = 2u, then u or fewer errors of…

…however, information is frequently both encoded and encrypted so that it is important to understand the difference. A satellite communications link, for example, may encode information in ASCII characters if it is textual, or pulse-code modulate and digitize it in binary-coded decimal (BCD) form if it is an analog signal…

…form, a process known as encoding, for a purely digital arrangement.

An encoding table that might be used to generate the binary sequence is shown below: It is apparent that 8 levels require three binary digits, or bits; 16 levels require four bits; and 256 levels require eight bits. In general 2ⁿ levels require n bits.

…(1) a source, (2) an encoder, (3) a message, (4) a channel, (5) a decoder, and (6) a receiver. For some communication systems, the components are as simple to specify as, for instance, (1) a person on a landline telephone, (2) the mouthpiece of the telephone, (3) the words spoken,…

…S is referred to as encoding. (This type of encoding is not meant to disguise the message but simply to adapt it to the nature of the communication system. Private or secret encoding schemes are usually referred to as encryption; see cryptology.) Because each character from M is represented by…

To be useful, each encoding must have a unique decoding. Consider the encoding shown in the table A less useful encoding. While every message can be encoded using this scheme, some will have duplicate encodings. For example, both the message AA and the message C will have the encoding…