Support for operations over encrypted float values

[vtsouval]

Hello,

Thank you so much for the FE library in Python! It is much needed 👍🏼. I was wondering whether support for operations over float points could be added in the FE library.

Thanks in advance.

[MechFroG88]

Currently, I haven't come across any papers or schemes tailored for floating-point operations. The majority of existing schemes that I found require the message to be in a prime field or integer. Would like to know if you discover any functional encryption schemes that can handle floating-point operations. Thanks

[vtsouval]

@MechFroG88 No, I have not seen such a scheme as well. Perhaps, adding this functionality explicitly (via transformation from float to int and back in the FE methods) would increase the library's usability. However, focus on adding more method is more important, so this can be done by users I guess.

Do you have specific FE schemes you plan to add in the near future? Thanks.

[MechFroG88]

You are right, an easy workaround is to just define a mapping from integer to floating number.

I plan to add quadratic functionality next, including the multi-input based construction

[vtsouval]

@MechFroG88 Thank you for the clarifications. As I will be using the package for research purposes, I will be modifying the package to allow a floating-point mapping mechanism in the FE schemes you have in PyMIFE. If you are interested, I can add them to the package.

Also, I am interested in multi-key FE schemes, but I have not found any implementation so far. Do you know/plan to add such a scheme?

[MechFroG88]

Sure, feel free to make any changes to the library. You can create a pull request when you complete the implementation.

May I ask what do you mean by Multi-key FE schemes?

[vtsouval]

Hi @MechFroG88
Sorry for the long respond. I was referring to a scheme similar to xMK-CKKS (although this uses HE)

[vtsouval]

@MechFroG88
In my previous message, I was referring to a scheme like this. Is such an extension of the current DMCFE you have possible to add?

[MechFroG88]

Hey, sorry for the late reply. The DDFE scheme you suggested seems quite interesting. I think it will be really useful, especially for IoT applications.

Regrettably, I'm currently occupied with my university exams. However, once I am more available, I'll definitely explore the possibility of implementing the scheme.

[vtsouval]

@MechFroG88 Thank you so much for your interest. Perhaps a starting point for DDFE implementation would be this Python package.

[vtsouval]

Hi @MechFroG88. Do you have any updates on the DDFE scheme I mentioned earlier? I tried to implementated based on the original paper and the source I mentioned before, but my knowledge of cryptographic modules is limited.

[MechFroG88]

Hey @vtsouval, thanks for sharing a repo that has implemented DDFE in your earlier comment. It is a very good reference. I just had a long holiday break and am still in the process of reading through the paper. Will probably implement the scheme soon

[vtsouval]

Hi @MechFroG88,

Any news on DDFE? I am struggling a lot to understand trying to implement the scheme myself. Also, I would like to cite your excellent work in my paper. Could you create a citation, so I can refer to this?

Thanks!