homomorphic

From homo- +‎ -morphic.

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homomorphic (comparative more homomorphic, superlative most homomorphic)

1. (algebra, biology) Of or pertaining to homomorphisms.

   Coordinate term: homologous

   • 1993, A. Wayne Wymore, Model-Based Systems Engineering, CRC Press, →ISBN, page 182:

     If it is necessary or desirable to preserve input or output port structure in homomorphic images, one must insist on a special case of homomorphism.

   • 2016, Giulia Traverso, Denise Demirel, Johannes Buchmann, Homomorphic Signature Schemes: A Survey, Springer, →ISBN, page 11:

     In this chapter two types of signature schemes satisfying homomorphic properties are presented. In the first section a description of the homomorphic signature schemes suitable in the single-user scenario is provided.

   • 2023 May 26, Rand Hindi, “How Homomorphic Encryption Can Make Blockchain Private”, in Forbes‎^[1], New York, N.Y.: Forbes Media, →ISSN, →OCLC, archived from the original on 12 June 2023:

     Fully homomorphic encryption (FHE) is a new encryption technique that enables computing on data blindly, without decrypting it.

• Whereas in mathematics one can talk about structures being isomorphic, in the sense that there exists an isomorphism between them, this usage does not extend to homomorphisms.