Proof-of-Work (PoW) is a fundamental method in decen- tralized digital networks for establishing consensus on a shared ledger. By requiring network participants to solve a mathematical puzzle, PoW maintains network integrity. However, PoW has raised environmental concerns due to its significant energy consumption. This paper introduces Proof-of-Encryption-Work (PoEW), a novel PoW consensus mechanism that repurposes computational power to address the challenge of encryption-based data compression. PoEW uses an ex- haustive key search as the PoW puzzle. Given a lengthy plaintext and a fixed ciphertext, the corresponding key is derived. Since the plain- text is much longer than both the key and the ciphertext, this process compresses the plaintext to the key. This data compression is computa- tionally intensive, while decompression is straightforward.

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