Web2 enjoys the unsolvable subgroup membership problem. One then can use the presentation to create entities’ private keys in a public key cryptsystem. Key words: word problem, subgroup membership problem, Mihailova subgroup, insolvability 1 Introduction In 1997, Shor published in [37] his distinguished quantum computational algorithms and he ... WebMar 15, 2024 · Case 2 (non-extendable words): We now demonstrate that any (modulo swapping a ∕ b) binary word of the form w = a b b j b k b a b j a with j ≥ 0 and k ≥ 1 from class NE is minimal unsolvable. w satisfies (1) with α = b j , the star ∗ being repeated k times, and the plus + being repeated only once.

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