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Proof & Lattice LabAll functions are free

Proof & Lattice Lab

Verify the Schnorr interactive proof of equality, or observe the two-dimensional lattice basis reduction.

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Schnorr Reproducible teaching transcript using small fixed groups; 2D Gauss reduction; no production cryptography security.

Proof & Lattice Lab: uses and methods

Verify the Schnorr interactive proof of equality, or observe the two-dimensional lattice basis reduction.

Applicable scope and calculation boundary

Schnorr Reproducible teaching transcript using small fixed groups; 2D Gauss reduction; no production cryptography security.

model and reference method

Schnorr protocol gˢ=t·yᶜ mod p; two-dimensional Gauss lattice reduction.

model version: 1.0.0. The results are used for scientific research, exploration and teaching, please interpret according to the model conditions.

input parameters

Demo
Schnorr Proof / two-dimensional lattice reduction
Teaching Secrets x
Value range: 1 – 10
Challenge c
Value range: 0 – 10
two-dimensional integer lattice basis
Two-dimensional non-degenerate integer basis.

How to use

  1. Load the example or enter data that matches the field description.
  2. Confirm units and models, run calculations and check diagnostics.
  3. Export charts, tables or results packages and record model versions.

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FROM SCIENCE TO PRACTICE

commercial application case

Industry Application · Independent Reproduction Example

Post-quantum cryptography concept training

security technology team uses low-dimensional examples to understand lattice distance and prove interactions.

Public industry reference: NIST · Post-Quantum Cryptography

NIST advances post-quantum cryptography standards and related algorithm evaluation.

View product or organization original information

on this site

  1. Select teaching mode
  2. observe public parameters and steps
  3. Check mathematical relationships

Deliverables

lattice geometry or proof process diagram for training and prototype communication The

needs to be checked before landing

low-dimensional example is not industrially safe and does not implement the full production protocol。

case is compiled for public industry purposes, and the reproduction steps are independent examples of this site; it does not mean that the above-mentioned institutions use or endorse this site, nor does it cite customer benefits that have not been publicly verified. The

SEE THE PRINCIPLE IN MOTION

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FOLLOW THE RESEARCH

recommended by universities and research institutions

Cryptography

The following is the recommended reading order of this website organized by direction relevance, public research resources and learning portals. The number is the serial number recommended by the editor, not QS, THE or paper measurement ranking; it does not represent the overall strength of the institution.

  1. 01

    Stanford · Applied Cryptography Group

    United States The

    applied cryptography, proof systems and security protocols。

    official website link accessibility check: 2026-10-03
  2. 02

    KU Leuven · COSIC

    Belgium

    cryptographic algorithms, hardware security and post-quantum cryptography。

    official website link accessibility check: 2026-10-03
  3. 03

    NIST · Computer Security Resource Center

    United States The

    cryptographic standards, algorithm verification and post-quantum standardization。

    official website link accessibility check: 2026-10-03

catalog compiled on 2026-10-03. Link accessibility does not equate to verification of the latest papers, admissions, or program status; please check the institution's official website for specific research teams and opportunities.

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