Source: wikibot/coset-leader

= Coset leader
{wiki=Coset_leader}

In group theory and coding theory, a **coset leader** is a concept used to describe a representative (or "leader") from a set of cosets of a subgroup within a group. More specifically, it is often employed in the context of error-correcting codes. When dealing with linear codes, the idea of a coset leader becomes particularly important. A linear code can be viewed as a vector space over a finite field.