| CPC H04L 9/3066 (2013.01) | 4 Claims |

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1. A method of decrypting encrypted data using elliptical curve cryptography, comprising:
initializing one or more memory locations to instantiate an elliptical curve algorithm consistent with the formula, px mod q=r, where x is an irrational component, wherein the irrational component comprises one of: (a) a portion of a root of a non-perfect square or (b) a portion of a square root of 2 or a square root of 5;
operating digital logic circuitry to apply a series of one or more mathematical operations to the elliptic curve to produce a private key from a public key;
using the private key to de-crypt the encrypted data.
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