Methods for allocating information to system resources using improved mapping

A method of mapping information to a number of resource items in a system, the method comprising:

• combining the number of resource items into sets having a number of elements of powers of n;
• mapping a set of resource items to a lattice in a coordinate space where the set of resource items is used to process a translated tile;
• tiling the coordinate space with the translated tile;
• and
• mapping the set of resource items to aspects of the translated tile using a dyadic permutation.

A computer-readable medium having stored thereon instructions which, when executed, map information to a number of resource items in a system including:

• defining a first vector in a coordinate space;
• defining a second vector in the coordinate space;
• defining a lattice as a combination of the first and second vectors;
• defining a set of points including a reference point in the coordinate space;
• tiling the coordinate space with translations of the set of points;
• and
• mapping the translations of the set of points to a resource item.