Abdelkader et al. recently proposed a new data representation method designed to enable efficient storage and management of diverse data types on the blockchain, guarantee scalability, cost-effectiveness, and network efficiency. They transformed a binary matrix M of dimensions m×n bits into two vectors H and V with sizes m′ and n′, respectively. The compression rate given by (m′+n′+∣Hash(M)∣)×100(m×n) expands exponentially, i.e., 2λ with λ depends on m and n), making their technique highly effective for data size reduction. For instance, with a matrix M of size 512×512 bits, they achieved a reduction rate of 96.42%. The conversion from M to (H, V) is both fast and simple. The presented paper uses these parameters to create a new consensus algorithm based on solving the challenge of recovering the original data using H, V, and Hash(M) in order to determine the next miner. © 2025 Elsevier B.V., All rights reserved.