'An Intro to Shamir's Secret Sharing Cryptographic Algorithm' by wagslane blockchain tatum_io
. By plotting the function on a finite field of sufficient size, the graph of the polynomial becomes disjointed and scattered, which means the attacker is unable to make educated guesses about the pathing of the underlying function.Adi Shamir is an Israeli cryptographer famous for Shamir’s Secret Sharing, but he is also a co-inventor of the widely used RSA algorithm that the vast majority of the internet is built upon.
The family has a problem: If they each keep a copy, then only one of their copies needs to be compromised to have all the coins stolen. If only one of them keeps the key, then that person may lose it or decide to double-cross the other family members. Luckily, one of the family members is also a cryptographer. Instead of naively sharing the original key, they use
. The family creates four shares and sets a threshold of three, with the Bitcoin key as the original secret. Now, their plan has the following properties:Members of the family need to cooperate to spend the Bitcoin, one family member can’t betray the othersUnderstanding the Thresholdthreshold is the number of shares required
to reconstruct the original secret. For example, with five shares and a threshold of three, you only need three of the five shares to calculate the original secret.
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