Why do there need to be “recommended” elliptic curves? If “recommended” ones are just ones that someone has found a shortcut for, why isn’t it better to just choose a new random one each time? Is it that decrypting or validating different curves requires different specific code?
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On arriving in preschool with your bike the grownups will recommend you to lock it up with a steel chain and a pad lock. However you decide to use your neatly hand crafted paper chain and lock. When its time to go home your bike is gone although you used a chain and lock.
Not every material makes a secure chain and lock. People spent much time in testing different materials and finally came up with recommendations. There may be other yet untested materials even better than steel but there are far more materials that have been proven unfit for the purpose.
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