Abstract: A code that has properties binary field operation, MDS, zigzag decodable, requiring symmetric storage room, and requiring small additional storage overhead, is designed. To ensure the above ...

Abstract: MDS codes are erasure-correcting codes that can correct the maximum number of erasures given the number of redundancy or parity symbols. If an MDS code has r parities and no more than r ...

Self-dual codes, which are equal to their duals, represent a compelling class of error-correcting codes that demonstrate balanced theoretical elegance and practical utility. Recent advancements have ...