Conference paper Open Access

NTTRU: Truly Fast NTRU Using NTT

Lyubashevsky , Vadim; Seiler, Gregor


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    <subfield code="a">NTTRU: Truly Fast NTRU Using NTT</subfield>
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    <subfield code="a">&lt;p&gt;We present NTTRU -- an IND-CCA2 secure NTRU-based key encapsulation scheme that uses the number theoretic transform (NTT) over the cyclotomic ring&amp;nbsp;Z7681[X]/(X768&amp;minus;X384+1)Z7681[X]/(X768&amp;minus;X384+1)&amp;nbsp;and produces public keys and ciphertexts of approximately&amp;nbsp;1.251.25&amp;nbsp;KB at the&amp;nbsp;128128-bit security level. The number of cycles on a Skylake CPU of our constant-time AVX2 implementation of the scheme for key generation, encapsulation and decapsulation is approximately&amp;nbsp;6.46.4K,&amp;nbsp;6.16.1K, and&amp;nbsp;7.97.9K, which is more than 30X, 5X, and 8X faster than these respective procedures in the NTRU schemes that were submitted to the NIST post-quantum standardization process. These running times are also, by a large margin, smaller than those for all the other schemes in the NIST process. We also give a simple transformation that allows one to provably deal with small decryption errors in OW-CPA encryption schemes (such as NTRU) when using them to construct an IND-CCA2 key encapsulation.&lt;/p&gt;</subfield>
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