package rlwe

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Type of PRNG used to generate randomness.

Used in: SerializedAuxModRelinearizationKey, SerializedPublicParameter, SerializedPublicRlweKey, SerializedRelinearizationKey, SerializedRnsGaloisKey

• PRNG_TYPE_INVALID = 0

• PRNG_TYPE_HKDF = 1

• PRNG_TYPE_CHACHA = 2

RLWE AuxModRelinearizationKey

• optional SerializedAuxModRelinearizationKey key = 1

  The underlying key-switching key

RLWE AuxModRelinearizationKey

Used in: SerializedAuxModGaloisKey

• repeated SerializedNttPolynomial b = 1

  Polynomials (both mod-q and mod-p) composing the "b" part of the key matrix

• optional int32 num_components = 2

  For n parts, the key can relinearize an (n+1)-component ciphertext (if `power_of_s` == 1) or an n-component ciphertext to a 2-component ciphertext

• optional bytes prng_seed = 3

  Seed used to generate the random components in the key.

  Required

• optional PrngType prng_type = 4

  Type of PRNG used to generate randomness.

  Required

• optional int32 power_of_s = 5

  The power of s that corresponds to the key. The field is 1 if the key is AuxModRelinearizationKey.

Polynomial in coefficient representation

• optional bytes coeffs = 1

  Coefficients of the polynomial

• optional int32 num_coeffs = 2

  Number of coefficients of the polynomial.

RLWE GaloisKeys.

• optional SerializedRelinearizationKey key = 1

  The key-switching matrix

NTT Polynomial

Used in: SerializedAuxModRelinearizationKey, SerializedPublicRlweKey, SerializedRelinearizationKey, SerializedSymmetricRlweCiphertext

• optional bytes coeffs = 1

  Coefficients of the polynomial

• optional int32 num_coeffs = 2

  Number of coefficients of the polynomial.

Public key.

• optional SerializedRnsPolynomial key_b = 1

  The "b" components of the public key.

Public key share.

• optional SerializedRnsPolynomial key_b = 1

  The "b" components of the public key share.

Public parameter.

• optional bytes prng_seed = 1

  Seed used to generate the random polynomial "a" in the public parameter.

• optional PrngType prng_type = 2

  Type of PRNG used to generate the random polynomial "a"

• optional int32 error_variance = 3

  The variance of error distribution for generating the public key.

RLWE Public Key

• optional bytes prng_seed = 1

  Seed used to generate the random polynomial "a" in the public key

• optional PrngType prng_type = 2

  Type of PRNG used to generate the random polynomial "a"

• optional SerializedNttPolynomial b = 3

  The polynomial "b" of the public key

RLWE RelinearizationKey

Used in: SerializedGaloisKey

• repeated SerializedNttPolynomial c = 1

  Polynomial composing the matrix

• optional int32 log_decomposition_modulus = 2

  The modulus used to decompose the coefficients of the polynomials. Ranges from 1 to the number of bits of the modulus.

• optional int32 num_parts = 3

  For n parts, the key can relinearize an n-component ciphertext to a 2-component ciphertext.

• optional bytes prng_seed = 4

  Seed used to compress this key.

  Required

• optional PrngType prng_type = 6

  Type of PRNG used to generate randomness.

  Required

• optional int32 power_of_s = 5

  The power of s that corresponds to the key. The field is 1 if the key is RelinearizationKey.

RNS Galois key.

• repeated SerializedRnsPolynomial key_bs = 2

  The "b" components of the Galois key.

• optional int32 power = 3

  The substitution power of the source secret key.

• optional bytes prng_seed = 4

  The PRNG seed used to compress the "a" components.

• optional PrngType prng_type = 5

  The type of the PRNG for sampling the "a" components.

RNS polynomial.

Used in: SerializedPublicKey, SerializedPublicKeyShare, SerializedRnsGaloisKey, SerializedRnsRlweCiphertext

• optional int32 log_n = 1

  The log (base 2) of the number of coefficients.

• repeated bytes coeff_vectors = 2

  The coefficient vectors wrt RNS moduli.

• optional bool is_ntt = 3

  Is the polynomial in NTT form?

RNS RLWE ciphertext.

• repeated SerializedRnsPolynomial components = 1

  The component polynomials composing the ciphertext.

• optional int32 power_of_s = 2

  The power of the secret key that the ciphertext is encrypted with.

• optional double error = 3

  A heuristic on the amount of error in the ciphertext.

RLWE Ciphertext

• repeated SerializedNttPolynomial c = 1

  Polynomials composing the ciphertext

• optional int32 power_of_s = 2

  The power of the secret key that the ciphertext is encrypted with.

• optional double error = 3

  A heuristic on the amount of error in the ciphertext.