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The decomposition of an integer number to the product of other integers. Algorithms such as RSA are based on the premise that no practical way has been found was to factorize large integers when they have been produced by multiplying two large primes.

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Are there asymmetric cryptographic algorithms that are not based on integer factorization an...

Yes there are other hard problems you can base asymmetric cryptography on. Lattices. The NTRU systems is based on the shortest vector problem in ideal lattices. Lattice-based cryptography is of much …
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