A quadratic residue code is a type of cyclic code. == Examples == Examples of quadratic residue codes include the ( 7 , 4 ) {\displaystyle (7,4)} Hamming code over G F ( 2 ) {\displaystyle GF(2)} , the ( 23 , 12 ) {\displaystyle (23,12)} binary Golay code over G F ( 2 ) {\displaystyle GF(2)} and the ( 11 , 6 ) {\displaystyle (11,6)} ternary Golay code over G F ( 3 ) {\displaystyle GF(3)} .
A quadratic residue code is a type of cyclic code. == Examples == Examples of quadratic residue codes include the ( 7 , 4 ) {\displaystyle (7,4)} Hamming code over G F ( 2 ) {\displaystyle GF(2)} , the ( 23 , 12 ) {\displaystyle (23,12)} binary Golay code over G F ( 2 ) {\displaystyle GF(2)} and the ( 11 , 6 ) {\displaystyle (11,6)} ternary Golay code over G F ( 3 ) {\displaystyle GF(3)} .
Source: Wikipedia "Quadratic residue code" · CC BY-SA 4.0
Share this article: X · Bluesky