Error_detection_and_correction Error_detection_and_correction Chien's search is a systematic way of finding roots to polynomials defined over a finite field. Chien's search is used specifically in finding the roots of error locator polynomials, encountered in decoding, of the Reed solomon codes and BCH codes. Chien's search would follow a Peterson's error locator, or a Berlekamp's error locator algorithm. ...more on Wikipedia about "Chien's search"
The theory of coding uses the N-dimensional sphere model. For example, how many pennies can be packed into a circle on a tabletop or in 3 dimensions, how many marbles can be packed into a globe. Other considerations enter the choice of a code. For example, hexagon packing into the constraint of a rectangular box will leave empty space at the corners. As the dimensions get larger, the percentage of empty space grows smaller. But at certain dimensions, the packing uses all the space and these codes are the so called perfect codes. There are very few of these codes. ...more on Wikipedia about "Linear block codes"
In telecommunications, a negative-acknowledge character (NAK) is a transmission control character sent by a station as a negative response to the station with which the connection has been set up. ...more on Wikipedia about "Negative-acknowledge character"
Repetition code is a coding scheme that repeats the bits across a channel to achieve error free communication. Repetition code is generally a very naive method of encoding data across a channel, and it is not preferred ...more on Wikipedia about "Repetition code"
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