Semirings as Building Blocks in Cryptography (Hardcover)

Semirings as an algebraic structure have been known since 1934, but remained unapplied for mathematical purposes for a long time.

It has only been in the past decade that they have been used in cryptography.

The advantage of (additively) idempotent semirings is that the additive operation does not have an inverse, which can help in preventing the breakage of a cryptosystem.