20 citations · 20 across the 1 of their papers we have counts for
Showing 2000 · math.NTShow all
3 papers · 2 filters
math.NT2000
Bounding minimum distances of cyclic codes using algebraic geometry
Nigel Boston
There are many results on the minimum distance of a cyclic code of the form that if a certain set T is a subset of the defining set of the code, then the minimum distance of the co…
math.NT2000
Tree representations of Galois groups
Nigel Boston
Much work has gone into matrix representations of Galois groups, but there is a whole new class of naturally occurring representations that have as yet gone almost unnoticed. In fa…
math.NT2000
Explicit computation of Galois p-groups unramified at p
Nigel Boston, Charles Leedham-Green
In this paper we introduce a new method for finding Galois groups by computer. This is particularly effective in the case of Galois groups of p-extensions ramified at finitely many…