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I am trying to wrap my head around the second round Quantum Resistant Algorithm candidates currently under the NIST PQC Effort.

Can someone verify if the following is a correct summary of the 17-Public Key Encryption and Key Establishment Mechanisms versus 9-Digital Signature Algorithms and their types? Specifically, I am asking if I got the classifications of either KEM, KEMs, PKE, PKEs, PKE & KEM, PKEs and KEMs and DSS all correct as defined below.

We have Key Encapsulation Mechanism (KEM) (KEM for a single one and KEMS for multiple), Public Key Encryption (PKE for a single one and PKEs for multiple) and Digital Signature Schemes (DSS).

PKEs and KEMs (17):

  • BIKE - KEM
  • Classic McEliece - KEM
  • CRYSTALS-KYBER - KEMs
  • FrodoKEM - KEM
  • HQC - PKE
  • LAC - PKE
  • LEDAcrypt (LEDAKem / LEDApkc) - PKE and KEM
  • Newhope - KEMs
  • NTRU - PKE and KEM
  • NTRU Prime - KEMs
  • NTS-KEM - KEM
  • ROLLO (LAKE, LOCKER, Ouroboros-R) - KEMs
  • Round5 (HILA5 and Round2) - PKE and KEM
  • RQC - PKE
  • SABER - PKEs and KEMs
  • SIKE - KEM
  • Three Bears - KEM

DSSs (9):

  • CRYSTALS - DILITHIUM
  • FALCON
  • GEMSS
  • LUOV
  • MQDSS
  • Picnic
  • qTESLA
  • Rainbow
  • SPHINCS+
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  • $\begingroup$ Are you just asking if your list is complete? $\endgroup$ – forest Mar 21 at 19:34
  • $\begingroup$ @forest: I am asking if I got the classifications of either KEM, KEMs, PKE, PKEs, PKE & KEM, PKEs and KEMs and DSS all correct. $\endgroup$ – Moo Mar 21 at 19:41

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