To establish a general matching condition for periodic phase alignment in modular accumulators.
Developed a short-period congruence for alignment identification.
Analyzed the conditions for periodic phase alignments.
Proposed a framework to identify alignment windows without exhaustive searches.
Identified specific conditions that enable efficient alignment detection.
Demonstrated that the matching condition simplifies the search process.
Showed the relationship between periodic phase alignments and modular accumulation.
Abstract
The work establishes a general matching condition expressed as a short-period congruence, enabling the identification of alignment windows without exhaustive search.