Permutation codes are mathematical constructs that utilise the properties of permutations to encode and protect information, with applications spanning powerline communications, flash memory storage ...

This is a preview. Log in through your library . Abstract The main result is that the socle of the point stabilizer of a doubly-transitive permutation group is abelian or the direct product of an ...

If f is a nonzero complex-valued function defined on a finite abelian group A and f̂ is its Fourier transform, then |supp(f)|| supp(f̂)| ≥ |A|, where supp(f) and supp(f̂) are the supports of f and f̂.