This standard provides specifications of common public key cryptographic techniques based on hard problems over lattices supplemental to those considered in IEEE Std 1363-2000 [B47]1 and IEEE Std 1363a-2004 [B48], including mathematical primitives for secret value (key) derivation, public key encryption, identification and digital signatures, and cryptographic schemes based on those primitives. Specifications of related cryptographic parameters, public keys, and private keys are also presented. Class of computer and communications systems is not restricted.