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Reference.org
Group-based cryptography
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<p>Group-based cryptography is a use of <a href="/facts/Group_(mathematics)/IQTYqINt">groups</a> to construct <a href="/facts/Cryptographic_primitive/fy6vq5YM">cryptographic primitives</a>. A group is a very general algebraic object and most cryptographic schemes use groups in some way. In particular <a href="/facts/Diffie%25E2%2580%2593Hellman_key_exchange/xR4YQcaD">Diffie–Hellman key exchange</a> uses finite <a href="/facts/Cyclic_group/JL5zfFuL">cyclic groups</a>. So the term <i>group-based cryptography</i> refers mostly to <a href="/facts/Cryptographic_protocol/0WuyTkFo">cryptographic protocols</a> that use infinite <a href="/facts/Non-abelian_group/KQYHrwJl">non-abelian groups</a> such as a <a href="/facts/Braid_group/rn5323Kx">braid group</a>. </p>