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I want update in place for sorted element list and proof for accumulator encoding of only element updated. I try to find technique similar to this, but only GCTI pop up and similar methods.

It must get elements in order of sorted list, replace ith element ($e^i$) with update list element ($e'^i$) to make new accumulation with modification. I must need proof so accumulation with update and replaced element is accepted and non-update elements check to be not updated.

If anyone know method similar to this one or some place I can find, I greatly appreciate.

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  • $\begingroup$ I’m not certain if I fully understand your question, but it sounds like cryptocounters as described in chapter 5 of Malicious Cryptography by Young and Yung might be the idea that you are looking for. $\endgroup$
    – Daniel S
    Commented Dec 6, 2022 at 10:03
  • $\begingroup$ Could you please indicate if the solution proposed by @DanielS is in the direction that you are looking for and why this is the case? $\endgroup$
    – Maarten Bodewes ♦
    Commented Dec 6, 2022 at 14:14
  • $\begingroup$ Malicious Cryptography by Young and Yung I think direction of Daniel is similar, but I must expand to meet requirement. This is good start, thank you $\endgroup$
    – Junghee Kim
    Commented Dec 6, 2022 at 23:21

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