Cryptography for Intel(R) Integrated Performance Primitives Developer Reference

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ID 768738
Date 12/16/2022
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Document Table of Contents
Document Table of Contents x
Developer Reference for Intel® Integrated Performance Primitives Cryptography
Developer Reference for Intel® Integrated Performance Primitives Cryptography x
Getting Help and Support What's New Notational Conventions Related Products Overview Symmetric Cryptography Primitive Functions One-Way Hash Primitives Data Authentication Primitive Functions Public Key Cryptography Functions Finite Field Arithmetic Multi-buffer Cryptography Functions Appendix A: Support Functions and Classes Removed Functions Bibliography Notices and Disclaimers
Overview x
Basic Features Function Context Structures Data Security Considerations
Symmetric Cryptography Primitive Functions x
Block Cipher Modes of Operation Rijndael Functions AES-CCM Functions AES-GCM Functions AES-SIV Functions AES-XTS Functions TDES Functions SMS4 Functions ARCFour Functions
Rijndael Functions x
AESGetSize AESInit AESSetKey AESPack, AESUnpack AESEncryptECB AESDecryptECB AESEncryptCBC AESDecryptCBC AESEncryptCBC_CS AESDecryptCBC_CS AESEncryptCFB AES_EncryptCFB16_MB AESDecryptCFB AESEncryptOFB AESDecryptOFB AESEncryptCTR AESDecryptCTR AESEncryptXTS_Direct, AESDecryptXTS_Direct Example of Using AES Functions
AES-CCM Functions x
AES_CCMGetSize AES_CCMInit AES_CCMStart AES_CCMEncrypt AES_CCMDecrypt AES_CCMGetTag AES_CCMMessageLen AES_CCMTagLen
AES-GCM Functions x
AES_GCMGetSize AES_GCMInit AES_GCMStart AES_GCMReset AES_GCMProcessIV AES_GCMProcessAAD AES_GCMEncrypt AES_GCMDecrypt AES_GCMGetTag
AES-SIV Functions x
AES_S2V_CMAC AES_SIVEncrypt AES_SIVDecrypt Usage Example
AES-XTS Functions x
AES_XTSGetSize AES_XTSInit AES_XTSEncrypt AES_XTSDecrypt
TDES Functions x
DESGetSize DESInit DESPack, DESUnpack TDESEncryptECB TDESDecryptECB TDESEncryptCBC TDESDecryptCBC TDESEncryptCFB TDESDecryptCFB TDESEncryptOFB TDESDecryptOFB TDESEncryptCTR TDESDecryptCTR Example of Using TDES Functions
SMS4 Functions x
SMS4GetSize SMS4Init SMS4SetKey SMS4EncryptECB SMS4DecryptECB SMS4EncryptCBC SMS4DecryptCBC SMS4EncryptCBC_CS SMS4DecryptCBC_CS SMS4EncryptCFB SMS4DecryptCFB SMS4EncryptOFB SMS4DecryptOFB SMS4EncryptCTR SMS4DecryptCTR
ARCFour Functions x
ARCFourGetSize ARCFourCheckKey ARCFourInit ARCFourPack, ARCFourUnpack ARCFourEncrypt ARCFourDecrypt ARCFourReset
One-Way Hash Primitives x
Hash Functions Hash Functions for Non-Streaming Messages Mask Generation Functions
Hash Functions x
HashGetSize HashInit HashPack, HashUnpack HashDuplicate HashUpdate HashFinal HashGetTag HashMethod HashMethodSet HashMethodGetSize SM3GetSize SM3Init SM3Pack, SM3Unpack SM3Duplicate SM3Update SM3Final SM3GetTag MD5GetSize MD5Init MD5Pack, MD5Unpack MD5Duplicate MD5Update MD5Final MD5GetTag SHA1GetSize SHA1Init SHA1Pack, SHA1Unpack SHA1Duplicate SHA1Update SHA1Final SHA1GetTag SHA224GetSize SHA224Init SHA224Pack, SHA224Unpack SHA224Duplicate SHA224Update SHA224Final SHA224GetTag SHA256GetSize SHA256Init SHA256Pack, SHA256Unpack SHA256Duplicate SHA256Update SHA256Final SHA256GetTag SHA384GetSize SHA384Init SHA384Pack, SHA384Unpack SHA384Duplicate SHA384Update SHA384Final SHA384GetTag SHA512GetSize SHA512Init SHA512Pack, SHA512Unpack SHA512Duplicate SHA512Update SHA512Final SHA512GetTag
Hash Functions for Non-Streaming Messages x
General Definition of a Hash Function HashMessage SM3MessageDigest MD5MessageDigest SHA1MessageDigest SHA224MessageDigest SHA256MessageDigest SHA384MessageDigest SHA512MessageDigest
Mask Generation Functions x
User's Implementation of a Mask Generation Function MGF MGF1_rmf, MGF2_rmf
Data Authentication Primitive Functions x
Message Authentication Functions
Message Authentication Functions x
Keyed Hash Functions CMAC Functions
Keyed Hash Functions x
HMAC_GetSize HMAC_Init HMAC_Pack, HMAC_Unpack HMAC_Duplicate HMAC_Update HMAC_Final HMAC_GetTag HMAC_Message
CMAC Functions x
AES_CMACGetSize AES_CMACInit AES_CMACUpdate AES_CMACFinal AES_CMACGetTag
Public Key Cryptography Functions x
Big Number Arithmetic Montgomery Reduction Scheme Functions Pseudorandom Number Generation Functions Prime Number Generation Functions RSA Algorithm Functions Discrete-Logarithm-Based Cryptography Functions Elliptic Curve Cryptography Functions
Big Number Arithmetic x
BigNumGetSize BigNumInit Set_BN SetOctString_BN GetSize_BN Get_BN ExtGet_BN Ref_BN GetOctString_BN Cmp_BN CmpZero_BN Add_BN Sub_BN Mul_BN MAC_BN_I Div_BN Mod_BN Gcd_BN ModInv_BN
Montgomery Reduction Scheme Functions x
MontGetSize MontInit MontSet MontGet MontForm MontMul Example of Using Montgomery Reduction Scheme Functions MontExp
Pseudorandom Number Generation Functions x
User's Implementation of a Pseudorandom Number Generator PRNGGetSize PRNGInit PRNGSetSeed PRNGGetSeed PRNGSetAugment PRNGSetModulus PRNGSetH0 PRNGen PRNGenRDRAND TRNGenRDSEED PRNGen_BN PRNGenRDRAND_BN TRNGenRDSEED_BN Example of Using Pseudorandom Number Generation Functions
Prime Number Generation Functions x
PrimeGetSize PrimeInit PrimeGen_BN PrimeTest_BN PrimeGen PrimeTest PrimeSet PrimeSet_BN PrimeGet PrimeGet_BN Example of Using Prime Number Generation Functions
RSA Algorithm Functions x
Functions for Building RSA System RSA Primitives RSA Encryption Schemes RSA Signature Schemes
Functions for Building RSA System x
RSA_GetSizePublicKey, RSA_GetSizePrivateKeyType1, RSA_GetSizePrivateKeyType2 RSA_InitPublicKey, RSA_InitPrivateKeyType1, RSA_InitPrivateKeyType2 RSA_SetPublicKey, RSA_SetPrivateKeyType1, RSA_SetPrivateKeyType2 RSA_GetPublicKey, RSA_GetPrivateKeyType1, RSA_GetPrivateKeyType2 RSA_GetBufferSizePublicKey, RSA_GetBufferSizePrivateKey RSA_MB_GetBufferSizePublicKey, RSA_MB_GetBufferSizePrivateKey RSA_GenerateKeys RSA_ValidateKeys
RSA Primitives x
RSA_Encrypt RSA_MB_Encrypt RSA_Decrypt RSA_MB_Decrypt Example of Using RSA Primitive Functions
RSA Encryption Schemes x
RSA-OAEP Scheme Functions PKCS V1.5 Encryption Scheme Functions
RSA-OAEP Scheme Functions x
RSAEncrypt_OAEP RSADecrypt_OAEP
PKCS V1.5 Encryption Scheme Functions x
RSAEncrypt_PKCSv15 RSADecrypt_PKCSv15
RSA Signature Schemes x
RSA-SSA Scheme Functions PKCS V1.5 Signature Scheme Functions
RSA-SSA Scheme Functions x
RSASign_PSS RSA_MB_Sign_PSS_rmf RSAVerify_PSS RSA_MB_Verify_PSS_rmf
PKCS V1.5 Signature Scheme Functions x
RSASign_PKCS1v15 RSA_MB_Sign_PKCS1v15_rmf RSAVerify_PKCS1v15 RSA_MB_Verify_PKCS1v15_rmf
Discrete-Logarithm-Based Cryptography Functions x
DLPGetSize DLPInit DLPPack, DLPUnpack DLPSet DLPGet DLPSetDP DLPGetDP DLPGenKeyPair DLPPublicKey DLPValidateKeyPair DLPSetKeyPair DLPGenerateDSA DLPValidateDSA DLPSignDSA DLPVerifyDSA Example of Using Discrete-logarithm Based Primitive Functions DLPGenerateDH DLPValidateDH DLPSharedSecretDH DLGetResultString
Elliptic Curve Cryptography Functions x
Functions Based on GF(p) Functions based on SM2 Arithmetic of the Group of Elliptic Curve Points ECCGetResultString
Functions Based on GF(p) x
ECCPGetSize ECCPGetSizeStd ECCPInit ECCPInitStd ECCPBindGxyTblStd ECCPSet ECCPSetStd ECCPGet ECCPGetOrderBitSize ECCPValidate ECCPPointGetSize ECCPPointInit ECCPSetPoint ECCPSetPointAtInfinity ECCPGetPoint ECCPCheckPoint ECCPComparePoint ECCPNegativePoint ECCPAddPoint ECCPMulPointScalar ECCPGenKeyPair ECCPPublicKey ECCPValidateKeyPair ECCPSetKeyPair ECCPSharedSecretDH ECCPSharedSecretDHC ECCPSignDSA ECCPVerifyDSA ECCPSignNR ECCPVerifyNR ECCPSignSM2 ECCPVerifySM2 Signing/Verification Using the Elliptic Curve Cryptography Functions over a Prime Finite Field
Functions based on SM2 x
GFpECESGetSize_SM2 GFpECESInit_SM2 GFpECESSetKey_SM2 GFpECESStart_SM2 GFpECESEncrypt_SM2 GFpECESDecrypt_SM2 GFpECESFinal_SM2 GFpECESGetBufferSize_SM2
Arithmetic of the Group of Elliptic Curve Points x
GFpECGetSize GFpECInit GFpECSet GFpECSetSubgroup GFpECInitStd GFpECGet GFpECGetSubgroup GFpECScratchBufferSize GFpECVerify GFpECPointGetSize GFpECPointInit GFpECSetPointAtInfinity GFpECSetPoint, GFpECSetPointREgular GFpECSetPointOctString GFpECSetPointRandom GFpECMakePoint GFpECSetPointHash, GFpECSetPointHashBackCompatible, GFpECSetPointHash_rmf, GFpECSetPointHashBackCompatible_rmf GFpECGetPoint , GFpECGetPointRegular GFpECGetPointOctString GFpECTstPoint GFpECTstPointInSubgroup GFpECCpyPoint GFpECCmpPoint GFpECNegPoint GFpECAddPoint GFpECMulPoint GFpECPrivateKey, GFpECPublicKey, GFpECTstKeyPair GFpECPublicKey GFpECTstKeyPair GFpECPSharedSecretDH, GFpECPSharedSecretDHC GFpECSharedSecretDHC GFpECPSignDSA, GFpECPSignNR, GFpECPSignSM2 GFpECPVerifyDSA, GFpECPVerifyNR, GFpECPVerifySM2 GFpECSignNR GFpECVerifyNR GFpECSignSM2 GFpECVerifySM2
Finite Field Arithmetic x
GFpInit GFpMethod GFpGetSize GFpxInitBinomial GFpxInit GFpxMethod GFpxGetSize GFpScratchBufferSize GFpElementGetSize GFpElementInit GFpSetElement GFpSetElementOctString GFpSetElementRandom GFpSetElementHash GFpCpyElement GFpGetElement GFpGetElementOctString GFpCmpElement GFpIsZeroElement GFpIsUnityElement GFpConj GFpNeg GFpInv GFpSqrt GFpAdd GFpSub GFpMul GFpSqr GFpExp GFpMultiExp GFpAdd_PE GFpSub_PE GFpMul_PE
Multi-buffer Cryptography Functions x
RSA Algorithm Functions NIST Recommended Elliptic Curve Functions Montgomery Curve25519 Elliptic Curve Functions Edwards Curve25519 Elliptic Curve Functions SM2 Elliptic Curve Functions SM3 Hash Functions SM4 Algorithm Functions Modular Exponentiation
RSA Algorithm Functions x
mbx_rsa_public mbx_rsa_private mbx_rsa_private_crt mbx_RSA_Method_BufSize
NIST Recommended Elliptic Curve Functions x
mbx_nistp256/384/521_ecdsa_sign_setup mbx_nistp256/384/521_ecdsa_sign_complete mbx_nistp256/384/521_ecdsa_sign mbx_nistp256/384/521_ecdsa_verify mbx_nistp256/384/521_ecpublic_key mbx_nistp256/384/521_ecdh
Montgomery Curve25519 Elliptic Curve Functions x
mbx_x25519_public_key mbx_x25519
Edwards Curve25519 Elliptic Curve Functions x
mbx_ed25519_public_key_mb8 mbx_ed25519_sign_mb8 mbx_ed25519_verify_mb8
SM2 Elliptic Curve Functions x
mbx_sm2_ecdsa_sign mbx_sm2_ecdsa_verify mbx_sm2_ecpublic_key mbx_nistp256/384/521_ecdh
SM3 Hash Functions x
mbx_sm3_msg_digest_mb16 mbx_sm3_init_mb16 mbx_sm3_update_mb16 mbx_sm3_final_mb16
SM4 Algorithm Functions x
mbx_sm4_set_key_mb16 mbx_sm4_encrypt/decrypt_ecb_mb16 mbx_sm4_encrypt/decrypt_cbc_mb16 mbx_sm4_encrypt/decrypt_ctr128_mb16 mbx_sm4_encrypt/decrypt_ofb_mb16 mbx_sm4_encrypt/decrypt_cfb128_mb16
Modular Exponentiation x
mbx_exp/1024/2048/3072/4096_mb8 mbx_exp_BufferSize
Appendix A: Support Functions and Classes x
Security Validation of Library Functions Version Information Function Dispatcher Control Functions Other Functions Classes and Functions Used in Examples
Version Information Function x
GetLibVersion
Dispatcher Control Functions x
Init
Other Functions x
GetCpuFeatures SetCpuFeatures GetEnabledCpuFeatures GetCpuClocks GetNumThreads GetEnabledNumThreads SetNumThreads GetStatusString
Classes and Functions Used in Examples x
BigNumber Class Functions for Creation of Cryptographic Contexts
Developer Reference for Intel® Integrated Performance Primitives Cryptography

Finite Field Arithmetic

This section describes the Intel® Integrated Performance Primitives Cryptography (Intel® IPP Cryptography) functions that implement arithmetic operations with elements of the following finite fields [ANT]:

GF(p) A finite field of p elements.
GF(q) If q is an odd prime number, then the finite field is represented by integers modulo q. This field is also known as the prime finite field.
GF(pd) If p = q, q is an odd prime number and d > 1, the finite field is represented by polynomials modulo g(x), GF(p)[x]/g(x), where g(x) is an irreducible polynomial over GF(p). This field is also known as a degree d extension of the GF(p) field.
GF(((qn1)n2)n3) A very complex extension of the prime finite field GF(q). The initial prime field GF(q) used at the lowest level of the construct is frequently called the basic finite field with respect to the extension.

The finite field arithmetic functions use context structures of the IppsGFpState and IppsGFpElement types to store data of the finite field and the field elements, respectively.

The IppsGFpElement type structure is used for internal representation of field elements. In application (or external) representation of field element is straightforward. Each element E of the prime field GF(q) is an unsigned number in the range [0, q - 1], which is represented by a data array Ipp32u qe[len32] , so that


where is the length of the prime q, expressed in dwords (32-bit chunks).

Each element E of GF(pd) is represented by a polynomial of degree less than d. This polynomial is represented by an array of coefficients pe[d] that belong to GF(p).


Thus, 

Ipp32u a[4] = {0xBFF9AEE1,0xBF59CC9B,0xD1B3BBFE,0xD6031998};
is an external (application-side) representation of an element that belongs to some prime field GF(q), bitsize(q)=128.

Similarly, 

Ipp32u b[2][4] = { {0xBFF9AEE1,0xBF59CC9B,0xD1B3BBFE,0xD6031998},
                   {0xBB6D8A5D,0xDC2C6558,0x80D02919,0x5EEEFCA3} };
is an external (application-side) representation of an element that belongs to GF(q2) - a degree 2 extension of some prime field GF(q), bitsize(q)=128.

You can use Intel IPP Cryptography finite field functions to convert between the internal and the external representations of a finite field element.

Prime finite fields are the basic mathematical objects of Elliptic Curve (EC) cryptography. Intel IPP Cryptography supports different kinds of EC over finite fields and, in particular, the standard elliptic curves - elliptic curves with pre-defined parameters, including the underlying finite field. The performance of EC functionality directly depends on the efficiently of the implementation of operations with finite field elements such as addition, multiplication, and squaring.

Intel IPP Cryptography contains several different optimized implementations of finite field arithmetic functions. These implementations, referred to in this document as "methods", are grouped together in structures. Intel IPP Cryptography does not reveal the content of these structures. The implementations, including those optimized for a particular prime q, are accessed by special Intel IPP Cryptography functions. For example, ippsGFpMethod_p192r1() returns a pointer to the structure containing optimized arithmetic over prime p192r1 (see GFpMethod for details).

Similarly, for GF(pd), additional knowledge concerning the predefined field polynomial g(x) allows Intel IPP Cryptography to provide a more efficient implementation of finite field arithmetic than in the case of an arbitrary field polynomial g(x). Intel IPP Cryptography contains methods dedicated to certain predefined g(x). For example, the functions ippsGFpxMethod_binom2() returns a pointer to the structure containing optimized arithmetic over GF(p2).

The comparison function GFpCmpElement returns the result of comparison: 

#define IPP_IS_EQ (0) // elements are equal
#define IPP_IS_GT (1) // the first element is greater than the second one
#define IPP_IS_LT (2) // the first element is less than the second one 
#define IPP_IS_NE (3) // elements are not equal
#define IPP_IS_NA (4) // elements are not comparable

Product and Performance Information

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.

Notice revision #20201201

Parent topic: Developer Reference for Intel® Integrated Performance Primitives Cryptography
  • GFpInit
    Initializes the context of a prime finite field GF(q).
  • GFpMethod
    Returns a reference to an implementation of arithmetic operations over GF(q).
  • GFpGetSize
    Gets the size of the context of a GF(q) field.
  • GFpxInitBinomial
    Initializes the context of a GF(pd) field.
  • GFpxInit
    Initializes the context of a GF(pd) field.
  • GFpxMethod
    Returns a reference to the implementation of arithmetic operations over GF(pd).
  • GFpxGetSize
    Gets the size of the context of a GF(pd) field.
  • GFpScratchBufferSize
    Gets the size of the scratch buffer.
  • GFpElementGetSize
    Gets the size of the context for an element of the finite field.
  • GFpElementInit
    Initializes the context of an element of the finite field.
  • GFpSetElement
    Assigns a value to an element of the finite field.
  • GFpSetElementOctString
    Assigns a value from the input octet string to an element of the finite field.
  • GFpSetElementRandom
    Assigns a random value to an element of the finite field.
  • GFpSetElementHash
    Assigns a value from the input hash to an element of the finite field.
  • GFpCpyElement
    Copies one element of the finite field to another element.
  • GFpGetElement
    Extracts an element of the finite field from the context.
  • GFpGetElementOctString
    Extracts an element of the finite field from the context to the output octet string.
  • GFpCmpElement
    Compares two elements of the finite field.
  • GFpIsZeroElement
    Compares an element of the finite field with the zero element.
  • GFpIsUnityElement
    Compares an element of the finite field with the unity element.
  • GFpConj
    Computes the conjugate of the element of the finite field GF(p2).
  • GFpNeg
    Computes the additive inverse of an element of the finite field.
  • GFpInv
    Computes the multiplicative inverse of an element of the finite field.
  • GFpSqrt
    Computes the square root of an element of the finite field.
  • GFpAdd
    Computes the sum of two elements of the finite field.
  • GFpSub
    Subtracts two elements of the finite field.
  • GFpMul
    Multiplies two elements of the finite field.
  • GFpSqr
    Computes the square of an element of the finite field.
  • GFpExp
    Raises an element of the finite field to the specified power.
  • GFpMultiExp
    Multiplies exponents of elements of the finite field.
  • GFpAdd_PE
    Computes the sum of an element of the finite field and an element of its parent field.
  • GFpSub_PE
    Subtracts an element of the finite field from an element of its parent field.
  • GFpMul_PE
    Multiplies an element of the finite field and an element of its parent field.
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