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I am searching for some new research areas in ECC for my masters' project. My professor suggested me to go for Image Encryption using ECC. But I am clueless as to what are the new directions possible in such an area.

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    $\begingroup$ Did they really suggest that to you? If so, change the advisor. The ECC, although can be used for encryption, is not used for encryption. Key exchange ECDH, Signatures edDSA are the main uses. If you are really interested, you can start reading a book that contains Elliptic Curve chapter. $\endgroup$ – kelalaka Oct 15 at 10:12
  • $\begingroup$ Well they did suggest that. And existing research papers like Singh and Singh(2015) Image Encryption using ECC and subsequently another improved one in 2017 were the ones I used for reference. Arent they using ECC directly for image encryption? $\endgroup$ – polkaadotskjm227 Oct 15 at 16:40
  • $\begingroup$ Could you link the paper? $\endgroup$ – kelalaka Oct 15 at 21:37
  • $\begingroup$ This is the 2017 paper.sciencedirect.com/science/article/abs/pii/S0030402617309208 $\endgroup$ – polkaadotskjm227 Oct 15 at 21:43
  • $\begingroup$ This is their google scholar page and contains all their work till now.scholar.google.co.in/citations?user=FoGUkB0AAAAJ&hl=en $\endgroup$ – polkaadotskjm227 Oct 15 at 21:43
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I can suggest you working on isogeny-based assumptions specially within its new framework "Group Actions". Check this paper https://eprint.iacr.org/2020/1188.pdf There is a wide space for research, specially that the hardness of these assumptions are not so clear and we need more analysis. They are candidates for quantum cryptography. And Finally you may also think about realizing more cryptographic primitives from these assumptions.

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