the set (3, 97, 205, 1,678, 17) is a finite set of numbers. Closure: If a and b are in a group G, then a b is in the group. For example modulo 12 would be adding around a clock, so (1 4) modulo 12 5, but (115) modulo. If this happens, then both the original owner of the address and the colliding owner could spend money sent to that address. This is the 25-byte binary Bitcoin Address.
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Here it is in a nutshell: In ecdsa, the private key is an unpredictably chosen number between 1 and the order. What grants this ability? Note that the curve still retains its horizontal symmetry. Lets follow the recipe and see how it works. With bitcoin, the data that is signed is the transaction that transfers ownership.
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