Linear code: Difference between revisions

Revision as of 22:47, 11 May 2005

Revision as of 23:00, 11 May 2005

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:''F''^''n''

where ''F'' is the [[field (mathematics)|field]] with two elements {0,1}. The name arises from the use of these codes as [[error-correcting code]]s. Occasionally ''F'' is taken to be some other [[finite field]]. If the field ''F'' contains ''q'' [[element (mathematics)|element]]s then the code ''C'' is said to be a q-ary code (special exceptions are ''binary'' codes and ''ternary'' codes, corresponding to ''q=2'' and ''q=3'' respectively).