16 lines
2.1 KiB
Plaintext
16 lines
2.1 KiB
Plaintext
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\\ p generated by ssh-keygen from the following moduli(5) line:
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\\ This is a "safe prime", see moduli(5)
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\\ Therefore q = (p-1)/2 is also prime
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p = 4498546982183741806042046874925230841367752610105215768946438255470120740195522849201856997179866815126313339756915558167423398334072639778026401904031844016861682960881473450120265256327641310709437833580886250441164652551031655405301329413885250587408573319621138304678094611598436119854035881555472079889364307701983275427495796082239390426306590239630071293304476993188112145295406185504400770379250448236759388051149856191572199475958274963892549036586332373555561624378385324018563641781073722121282924048194073332885386583853286835384896286468480594489851988635137146304050743119406030150457214703115428415028345445439080824905967347767410065096124691155434106090788541491301971510767072678641286317388382884979008351941634738407020421109176416998181365911697340148847292136114015951382836045342314909586957351991419538245920973429697625016569947794803114551396527414933624103391788313038751051589980762413698400281203
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\\ From that we can compute the subgroup-order prime q:
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q = (p-1)/2
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\\ Cyclic Subgroups of Z_p must have order 1, 2, q or p-1
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\\ => The generator of Subgroup Z_p^* is 3 as we can check with G^q == Mod(1, p)
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G = Mod(3, p)
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;
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