Patent ID: 8675874

Claim:
An information processing apparatus, comprising: a hardware processor configured to compress an element on an algebraic torus into an affine representation according to a compression map, and determine whether a target element on the algebraic torus to be compressed is an exceptional point representing an element on the algebraic torus that cannot be compressed by the compression map, wherein the target element is the exceptional point or is a normal point that can be compressed by the compression map, wherein the processor is configured to generate, when it is determined that the target element is the exceptional point, a processing result including exceptional information indicating that the target element is the exceptional point, and generate, when it is determined that the target element is not the exceptional point, a processing result including the affine representation obtained by compressing the target element according to the compression map, the exceptional point being represented by a point included in a sub-manifold, the sub-manifold being included in an affine space and the sub-manifold not being used to represent normal points.