65.144 BoundsCoveringRadius

BoundsCoveringRadius( code )

BoundsCoveringRadius returns a list of integers. The first entry of this list is the maximum of some lower bounds for the covering radius of code, the last entry the minimum of some upper bounds of code.

If the covering radius of code is known, a list of length 1 is returned.

BoundsCoveringRadius makes use of the functions GeneralLowerBoundCoveringRadius and GeneralUpperBoundCoveringRadius.

    gap> BoundsCoveringRadius( BCHCode( 17, 3, GF(2) ) );
    [ 3 .. 4 ]
    gap> BoundsCoveringRadius( HammingCode( 5, GF(2) ) );
    [ 1 ] 

Previous Up Top Next
Index