cryptography - PBKDF2-HMAC-SHA-512 test vectors

Question

I have not been able to find published test vectors for PBKDF2-HMAC-SHA-512. I've built a function that (finally!) reproduces the 7 HMAC-SHA-512 test vectors in RFC 4231, and the 32-byte test vectors for PBKDF2-HMAC-SHA-256 found in this thread.

Here is what it generates for PBKDF2-HMAC-SHA-512. Can anyone help me verify this output?
Thanks, Fred

Input:
  P = "password"
  S = "salt"
  c = 1
  dkLen = 64

Output:
  DK = 86 7f 70 cf 1a de 02 cf 
       f3 75 25 99 a3 a5 3d c4 
       af 34 c7 a6 69 81 5a e5 
       d5 13 55 4e 1c 8c f2 52 
       c0 2d 47 0a 28 5a 05 01 
       ba d9 99 bf e9 43 c0 8f 
       05 02 35 d7 d6 8b 1d a5 
       5e 63 f7 3b 60 a5 7f ce 

 
Input:
  P = "password"
  S = "salt"
  c = 2
  dkLen = 64

Output:
  DK = e1 d9 c1 6a a6 81 70 8a 
       45 f5 c7 c4 e2 15 ce b6 
       6e 01 1a 2e 9f 00 40 71 
       3f 18 ae fd b8 66 d5 3c 
       f7 6c ab 28 68 a3 9b 9f 
       78 40 ed ce 4f ef 5a 82 
       be 67 33 5c 77 a6 06 8e 
       04 11 27 54 f2 7c cf 4e 


Input:
  P = "password"
  S = "salt"
  c = 4096
  dkLen = 64

Output:
  DK = d1 97 b1 b3 3d b0 14 3e 
       01 8b 12 f3 d1 d1 47 9e 
       6c de bd cc 97 c5 c0 f8 
       7f 69 02 e0 72 f4 57 b5 
       14 3f 30 60 26 41 b3 d5 
       5c d3 35 98 8c b3 6b 84 
       37 60 60 ec d5 32 e0 39 
       b7 42 a2 39 43 4a f2 d5 


Input:
  P = "passwordPASSWORDpassword"
  S = "saltSALTsaltSALTsaltSALTsaltSALTsalt"
  c = 4096
  dkLen = 64

Output:
  DK = 8c 05 11 f4 c6 e5 97 c6 
       ac 63 15 d8 f0 36 2e 22 
       5f 3c 50 14 95 ba 23 b8 
       68 c0 05 17 4d c4 ee 71 
       11 5b 59 f9 e6 0c d9 53 
       2f a3 3e 0f 75 ae fe 30 
       22 5c 58 3a 18 6c d8 2b 
       d4 da ea 97 24 a3 d3 b8 

Answer 1

I can also confirm the 4 test cases in the question generate valid results on implementations in my T-SQL, Python, with OpenSSL and PolarSSL libraries, and in a .NET library by @JimmiTh.

I'd like to add another set of PBKDF2-HMAC-SHA-512 test vectors for others to try on their own implementations - these are specifically designed to test various digest size and block size boundary conditions.

Character encoding is ASCII/UTF-8.

Tested against OpenSSL 1.0.1e on 64-bit Debian and 1.0.1f on 64-bit Windows with a 32-bit OpenSSL library called from C, Mitsuhiko's Python PBKDF2 implementation with warner's patch, my own SQL Server 2012 implementation, PolarSSL 1.2.9 and 1.3.4, @JimmiTh's .NET, and @TonPlomp's LabView implementation.

Note that previous differences between Python and T-SQL vs. OpenSSL were apparently due to a platform/version issue between Windows, MinGW, and OpenSSL. There is no difference between the implementations using MinGW 4.8.1 and OpenSSL 1.0.1f.

I recommend copy/pasting these into LibreOffice Calc or Excel and using =CONCATENATE to create a test script for yourself, or get the full original LibreOffice at Github.

The actual test vectors, minus Ext 10b and Trunc 10a and the last two 16M iteration vectors due to SO's 30,000 character limit:

'Password', 'Salt', Iterations, Outputbytes, ResultInHex, 'Notes'

'passDATAb00AB7YxDTT', 'saltKEYbcTcXHCBxtjD' 1 64 0xCBE6088AD4359AF42E603C2A33760EF9D4017A7B2AAD10AF46F992C660A0B461ECB0DC2A79C2570941BEA6A08D15D6887E79F32B132E1C134E9525EEDDD744FA 'AW 1a 1iter 64outBytes 19pw 19sa'
'passDATAb00AB7YxDTT', 'saltKEYbcTcXHCBxtjD' 100000 64 0xACCDCD8798AE5CD85804739015EF2A11E32591B7B7D16F76819B30B0D49D80E1ABEA6C9822B80A1FDFE421E26F5603ECA8A47A64C9A004FB5AF8229F762FF41F 'AW 1b 100000iter 64outBytes 19pw 19sa'
'passDATAb00AB7YxDTTl', 'saltKEYbcTcXHCBxtjD2' 1 64 0x8E5074A9513C1F1512C9B1DF1D8BFFA9D8B4EF9105DFC16681222839560FB63264BED6AABF761F180E912A66E0B53D65EC88F6A1519E14804EBA6DC9DF137007 'AW 2a 1iter 64outBytes 20pw 20sa'
'passDATAb00AB7YxDTTl', 'saltKEYbcTcXHCBxtjD2' 100000 64 0x594256B0BD4D6C9F21A87F7BA5772A791A10E6110694F44365CD94670E57F1AECD797EF1D1001938719044C7F018026697845EB9AD97D97DE36AB8786AAB5096 'AW 2b 100000iter 64outBytes 20pw 20sa'
'passDATAb00AB7YxDTTlR', 'saltKEYbcTcXHCBxtjD2P' 1 64 0xA6AC8C048A7DFD7B838DA88F22C3FAB5BFF15D7CB8D83A62C6721A8FAF6903EAB6152CB7421026E36F2FFEF661EB4384DC276495C71B5CAB72E1C1A38712E56B 'AW 3a 1iter 64outBytes 21pw 21sa'
'passDATAb00AB7YxDTTlR', 'saltKEYbcTcXHCBxtjD2P' 100000 64 0x94FFC2B1A390B7B8A9E6A44922C330DB2B193ADCF082EECD06057197F35931A9D0EC0EE5C660744B50B61F23119B847E658D179A914807F4B8AB8EB9505AF065 'AW 3b 100000iter 64outBytes 21pw 21sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE5', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJe' 1 64 0xE2CCC7827F1DD7C33041A98906A8FD7BAE1920A55FCB8F831683F14F1C3979351CB868717E5AB342D9A11ACF0B12D3283931D609B06602DA33F8377D1F1F9902 'AW 4a 1iter 64outBytes 63pw 63sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE5', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJe' 100000 64 0x07447401C85766E4AED583DE2E6BF5A675EABE4F3618281C95616F4FC1FDFE6ECBC1C3982789D4FD941D6584EF534A78BD37AE02555D9455E8F089FDB4DFB6BB 'AW 4b 100000iter 64outBytes 63pw 63sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJem' 1 64 0xB029A551117FF36977F283F579DC7065B352266EA243BDD3F920F24D4D141ED8B6E02D96E2D3BDFB76F8D77BA8F4BB548996AD85BB6F11D01A015CE518F9A717 'AW 5a 1iter 64outBytes 64pw 64sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJem' 100000 64 0x31F5CC83ED0E948C05A15735D818703AAA7BFF3F09F5169CAF5DBA6602A05A4D5CFF5553D42E82E40516D6DC157B8DAEAE61D3FEA456D964CB2F7F9A63BBBDB5 'AW 5b 100000iter 64outBytes 64pw 64sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57U', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJemk' 1 64 0x28B8A9F644D6800612197BB74DF460272E2276DE8CC07AC4897AC24DBC6EB77499FCAF97415244D9A29DA83FC347D09A5DBCFD6BD63FF6E410803DCA8A900AB6 'AW 6a 1iter 64outBytes 65pw 65sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57U', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJemk' 100000 64 0x056BC9072A356B7D4DA60DD66F5968C2CAA375C0220EDA6B47EF8E8D105ED68B44185FE9003FBBA49E2C84240C9E8FD3F5B2F4F6512FD936450253DB37D10028 'AW 6b 100000iter 64outBytes 65pw 65sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57Un4u12D2YD7oOPpiEvCDYvntXEe4NNPLCnGGeJArbYDEu6xDoCfWH6kbuV6awi0', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJemkURWoqHusIeVB8Il91NjiCGQacPUu9qTFaShLbKG0Yj4RCMV56WPj7E14EMpbxy' 1 64 0x16226C85E4F8D604573008BFE61C10B6947B53990450612DD4A3077F7DEE2116229E68EFD1DF6D73BD3C6D07567790EEA1E8B2AE9A1B046BE593847D9441A1B7 'AW 7a 1iter 64outBytes 127pw 127sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57Un4u12D2YD7oOPpiEvCDYvntXEe4NNPLCnGGeJArbYDEu6xDoCfWH6kbuV6awi0', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJemkURWoqHusIeVB8Il91NjiCGQacPUu9qTFaShLbKG0Yj4RCMV56WPj7E14EMpbxy' 100000 64 0x70CF39F14C4CAF3C81FA288FB46C1DB52D19F72722F7BC84F040676D3371C89C11C50F69BCFBC3ACB0AB9E92E4EF622727A916219554B2FA121BEDDA97FF3332 'AW 7b 100000iter 64outBytes 127pw 127sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57Un4u12D2YD7oOPpiEvCDYvntXEe4NNPLCnGGeJArbYDEu6xDoCfWH6kbuV6awi04', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJemkURWoqHusIeVB8Il91NjiCGQacPUu9qTFaShLbKG0Yj4RCMV56WPj7E14EMpbxy6' 1 64 0x880C58C316D3A5B9F05977AB9C60C10ABEEBFAD5CE89CAE62905C1C4F80A0A098D82F95321A6220F8AECCFB45CE6107140899E8D655306AE6396553E2851376C 'AW 8a 1iter 64outBytes 128pw 128sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57Un4u12D2YD7oOPpiEvCDYvntXEe4NNPLCnGGeJArbYDEu6xDoCfWH6kbuV6awi04', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJemkURWoqHusIeVB8Il91NjiCGQacPUu9qTFaShLbKG0Yj4RCMV56WPj7E14EMpbxy6' 100000 64 0x2668B71B3CA56136B5E87F30E098F6B4371CB5ED95537C7A073DAC30A2D5BE52756ADF5BB2F4320CB11C4E16B24965A9C790DEF0CBC62906920B4F2EB84D1D4A 'AW 8b 100000iter 64outBytes 128pw 128sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57Un4u12D2YD7oOPpiEvCDYvntXEe4NNPLCnGGeJArbYDEu6xDoCfWH6kbuV6awi04U', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJemkURWoqHusIeVB8Il91NjiCGQacPUu9qTFaShLbKG0Yj4RCMV56WPj7E14EMpbxy6P' 1 64 0x93B9BA8283CC17D50EF3B44820828A258A996DE258225D24FB59990A6D0DE82DFB3FE2AC201952100E4CC8F06D883A9131419C0F6F5A6ECB8EC821545F14ADF1 'AW 9a 1iter 64outBytes 129pw 129sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57Un4u12D2YD7oOPpiEvCDYvntXEe4NNPLCnGGeJArbYDEu6xDoCfWH6kbuV6awi04U', 'saltKEYbcTcXHCBxtjD2PnBh44AIQ6XUOCESOhXpEp3HrcGMwbjzQKMSaf63IJemkURWoqHusIeVB8Il91NjiCGQacPUu9qTFaShLbKG0Yj4RCMV56WPj7E14EMpbxy6P' 100000 64 0x2575B485AFDF37C260B8F3386D33A60ED929993C9D48AC516EC66B87E06BE54ADE7E7C8CB3417C81603B080A8EEFC56072811129737CED96236B9364E22CE3A5 'AW 9b 100000iter 64outBytes 129pw 129sa'
'passDATAb00AB7YxDTTlRH2dqxDx19GDxDV1zFMz7E6QVqKIzwOtMnlxQLttpE57Un4u12D2YD7oOPpiEvCDYvntXEe4NNPLCnGGeJArbYDEu6xDoCfWH6kbuV6awi04Uz3ebEAhzZ4ve1A2wg5CnLXdZC5Y7gwfVgbEgZSTmoYQSzC5OW4dfrjqiwApTACO6xoOL1AjWj6X6f6qFfF8TVmOzU9RhOd1N4QtzWI4fP6FYttNz5FuLdtYVXWVXH2Tf7I9fieMeWCHTMkM4VcmQyQHpbcP8MEb5f1g6Ckg5xk3HQr3wMBvQcOHpCPy1K8HCM7a5wkPDhgVA0BVmwNpsRIbDQZRtHK6dT6bGyalp6gbFZBuBHwD86gTzkrFY7HkOVrgc0gJcGJZe65Ce8v4Jn5OzkuVsiU8efm2Pw2RnbpWSAr7SkVdCwXK2XSJDQ5fZ4HBEz9VTFYrG23ELuLjvx5njOLNgDAJuf5JB2tn4nMjjcnl1e8qcYVwZqFzEv2zhLyDWMkV4tzl4asLnvyAxTBkxPRZj2pRABWwb3kEofpsHYxMTAn38YSpZreoXipZWBnu6HDURaruXaIPYFPYHl9Ls9wsuD7rzaGfbOyfVgLIGK5rODphwRA7lm88bGKY8b7tWOtepyEvaLxMI7GZF5ScwpZTYeEDNUKPzvM2Im9zehIaznpguNdNXNMLWnwPu4H6zEvajkw3G3ucSiXKmh6XNe3hkdSANm3vnxzRXm4fcuzAx68IElXE2bkGFElluDLo6EsUDWZ4JIWBVaDwYdJx8uCXbQdoifzCs5kuuClaDaDqIhb5hJ2WR8mxiueFsS0aDGdIYmye5svmNmzQxFmdOkHoF7CfwuU1yy4uEEt9vPSP2wFp1dyaMvJW68vtB4kddLmI6gIgVVcT6ZX1Qm6WsusPrdisPLB2ScodXojCbL3DLj6PKG8QDVMWTrL1TpafT2wslRledWIhsTlv2mI3C066WMcTSwKLXdEDhVvFJ6ShiLKSN7gnRrlE0BnAw', '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' 1 64 0x384BCD6914407E40C295D1037CF4F990E8F0E720AF43CB706683177016D36D1A14B3A7CF22B5DF8D5D7D44D69610B64251ADE2E7AB54A3813A89935592E391BF 'AW 10a 1iter 64outBytes 1025pw 1025sa'
'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', '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