Cryptology ePrint Archive: Report 2021/1472

Improving Cryptography Based On Entropoids

Anisha Mukherjee and Saibal K. Pal

Abstract: Entropic quasigroups or entropoids provide an attractive option for development of post-quantum cryptographic schemes. We elaborate on the mathematical properties of entropoids with modifications in the initial operation. The starting entropic quasigroups obtained by this process can be applied to generate higher-order structures suitable for cryptography. We also propose an encryption/decryption scheme analogous to the ElGamal scheme with quasigroup string transformations in the entropoid setting. We then move on to enumerate important properties that are beneficial in cryptographic use together with algorithms for their verification.

Category / Keywords: public-key cryptography / Quasigroup, entropoid, exponentiation, post-quantum cryptography, attacks

Date: received 4 Nov 2021, last revised 11 Nov 2021

Contact author: anishamukherjee 98 at gmail com, skptech at yahoo com

Available format(s): PDF | BibTeX Citation

Version: 20211111:172033 (All versions of this report)

Short URL: ia.cr/2021/1472


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