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Ring learning with errors: Revision history


For any version listed below, click on its date to view it. For more help, see Help:Page history and Help:Edit summary. (cur) = difference from current version, (prev) = difference from preceding version, m = minor edit, → = section edit, ← = automatic edit summary

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  • curprev 17:2917:29, 6 November 2021TJKS talk contribs 19,946 bytes +40 →‎Background: Added condition to example methods to avoid confusion. When <math>q=p^n</math>, the elements of <math>F_q</math>, are not necessarily residues of integers. In such a circumstance ordering them linearly doesn’t make sense, and the iterative notation of the example means of generating “small” coefficients is incoherent. By adding the condition that <math>q</math> is a prime integer, that incoherence is excluded from consideration. undo Tags: Mobile edit Mobile web edit
  • curprev 17:1417:14, 6 November 2021TJKS talk contribs 19,906 bytes +5 →‎Background: Reworded for accuracy, replacing “sub-ring” with “quotient ring”. The quotient ring is not a sub-ring, and cannot be since repeated multiplication of $x$ eventually repeats after, say, $N$ iterations. This is not true in the polynomial ring, which implies that no homomorphic injection can be defined, as $x$ would have to map to both $x$ and $x^N$. The description of the previously misnamed ring is that of the quotient ring. To this end, I replaced “sub-ring” with “quotient r... undo Tags: Mobile edit Mobile web edit

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  • curprev 20:1020:10, 24 June 2019188.102.169.125 talk 19,655 bytes 0 "In the first component we give a quantum reduction from approximate SVP (in the worst case) on ideal lattices in R to the search version of ring-LWE, where the goal is to recover the secret s ∈ Rq (with high probability, for any s) from arbitrarily many noisy products" is the correct quote (changed F_q to R_q) undo

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