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Polynomial_over_a_finite_field_as_per_SSSS.png (780 × 584 pixels, file size: 76 KB, MIME type: image/png)

Summary

Description
English: Created in SageMath thusly,

ff = GF(99929) # finite field or Galois field with prime

RR = ff['x'] # polynomial ring of that field

P = [(0, 2011), (1, 1345), (2, 576), (3, 3245)] # (0, secret) rest random

g = RR.lagrange_polynomial(P)

plot(g)

Demonstrates how over a finite field a polynomial curve becomes "broken up" thus one can not gain insight into the path of the curve between two points.
Date
Source Own work
Author Wolfmankurd

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This diagram was created with SageMath.

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25 November 2017

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current13:45, 25 November 2017Thumbnail for version as of 13:45, 25 November 2017780 × 584 (76 KB)WolfmankurdUser created page with UploadWizard

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