Koblitz Curves and its practical uses in Bitcoin security

Koblitz curves are a type of elliptic curves characterized by its non-random construction which allows for especially efficient computation. This is different from the most commonly used elliptic curves that have a pseudo-random structure where the parameters are chosen by a specified algorithm. With the rise of online cryptocurrency we are seeing practical uses and implementations of Koblitz curves in the exchange and ownership of cryptocurrency. Bitcoin uses a specific Koblitz curve secp256k1 defined by the Standards for Efficient Cryptography Group (SECG). The curve is defined over the finite field Fp : y = x + ax + b With a = 0, b = 7 In my project I plan to introduce Koblitz curves and look at its advantagesor disadvantages in comparison to normal pseudo-random curves. I want to ex-plore the different defined Koblitz curves from SECG and see why the specificcurve secp256k1 was chosen by the creator of Bitcoin. I also want to give anoverview of how the Bitcoin protocol uses Koblitz curves to ensure security insigning and transferring funds. References[1] Standards for Efficient Cryptography SEC 2: Recommended Elliptic CurveDomain Parameters January 27, 2010 [http://www.secg.org/sec2-v2.pdf].[2] Jerome A. Solinas Efficient Arithmetic on Koblitz Curves National SecurityAgency, Ft. Meade. March 2000.