Conference paper Open Access

NTTRU: Truly Fast NTRU Using NTT

Lyubashevsky , Vadim; Seiler, Gregor

MARC21 XML Export

<?xml version='1.0' encoding='UTF-8'?>
<record xmlns="">
  <datafield tag="653" ind1=" " ind2=" ">
    <subfield code="a">public-key cryptography / NTRU</subfield>
  <datafield tag="653" ind1=" " ind2=" ">
    <subfield code="a">Lattice Cryptography, AVX2</subfield>
  <datafield tag="653" ind1=" " ind2=" ">
    <subfield code="a">NTT</subfield>
  <controlfield tag="005">20200120172250.0</controlfield>
  <controlfield tag="001">3355438</controlfield>
  <datafield tag="711" ind1=" " ind2=" ">
    <subfield code="a">Conference on Cryptographic Hardware and Embedded Systems 2019</subfield>
  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">Seiler, Gregor</subfield>
  <datafield tag="856" ind1="4" ind2=" ">
    <subfield code="s">654158</subfield>
    <subfield code="z">md5:188bdb5dc2a4f47942f3cb633648da49</subfield>
    <subfield code="u"></subfield>
  <datafield tag="542" ind1=" " ind2=" ">
    <subfield code="l">open</subfield>
  <datafield tag="260" ind1=" " ind2=" ">
    <subfield code="c">2019-01-16</subfield>
  <datafield tag="909" ind1="C" ind2="O">
    <subfield code="p">openaire</subfield>
    <subfield code="p">user-futuretpm-h2020</subfield>
    <subfield code="o"></subfield>
  <datafield tag="100" ind1=" " ind2=" ">
    <subfield code="a">Lyubashevsky , Vadim</subfield>
  <datafield tag="245" ind1=" " ind2=" ">
    <subfield code="a">NTTRU: Truly Fast NTRU Using NTT</subfield>
  <datafield tag="980" ind1=" " ind2=" ">
    <subfield code="a">user-futuretpm-h2020</subfield>
  <datafield tag="536" ind1=" " ind2=" ">
    <subfield code="c">779391</subfield>
    <subfield code="a">Future Proofing the Connected World: A Quantum-Resistant Trusted Platform Module</subfield>
  <datafield tag="540" ind1=" " ind2=" ">
    <subfield code="u"></subfield>
    <subfield code="a">Creative Commons Attribution 4.0 International</subfield>
  <datafield tag="650" ind1="1" ind2="7">
    <subfield code="a">cc-by</subfield>
    <subfield code="2"></subfield>
  <datafield tag="520" ind1=" " ind2=" ">
    <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>
  <datafield tag="024" ind1=" " ind2=" ">
    <subfield code="a">10.13154/tches.v2019.i3.180-201</subfield>
    <subfield code="2">doi</subfield>
  <datafield tag="980" ind1=" " ind2=" ">
    <subfield code="a">publication</subfield>
    <subfield code="b">conferencepaper</subfield>
Views 60
Downloads 42
Data volume 27.5 MB
Unique views 59
Unique downloads 41


Cite as