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(DataFlex) Generate ECC Keys using Specified Values for K

Demonstrates how to verify ECC key generation by using pre-selected values of K with known answer tests.

Chilkat ActiveX Downloads

ActiveX for 32-bit and 64-bit Windows

Use ChilkatAx-9.5.0-win32.pkg

Procedure Test
    String sCurveName
    String sEncodedK
    String sEncoding
    Handle hoEcc
    Variant vPrivkey
    Handle hoPrivkey
    Variant vPubkey
    Handle hoPubkey
    Handle hoXml
    String sTemp1
    Boolean bTemp1

    //  This example requires the Chilkat API to have been previously unlocked.
    //  See Global Unlock Sample for sample code.

    //  Test Vectors for ECC private keys are shown below.

    //  Generate a few ECC keys using particular values of k.
    Move "secp256r1" To sCurveName
    Move "1" To sEncodedK
    //  The decimal encoding means that the string represents a decimal integer.
    //  You'll see that the k values can ge HUGE integers..
    Move "decimal" To sEncoding

    Get Create (RefClass(cComChilkatEcc)) To hoEcc
    If (Not(IsComObjectCreated(hoEcc))) Begin
        Send CreateComObject of hoEcc
    End

    Get ComGenEccKey2 Of hoEcc sCurveName sEncodedK sEncoding To vPrivkey
    If (IsComObject(vPrivkey)) Begin
        Get Create (RefClass(cComChilkatPrivateKey)) To hoPrivkey
        Set pvComObject Of hoPrivkey To vPrivkey
    End
    Get ComLastMethodSuccess Of hoEcc To bTemp1
    If (bTemp1 <> True) Begin
        Get ComLastErrorText Of hoEcc To sTemp1
        Showln sTemp1
        Procedure_Return
    End

    Get ComGetPublicKey Of hoPrivkey To vPubkey
    If (IsComObject(vPubkey)) Begin
        Get Create (RefClass(cComChilkatPublicKey)) To hoPubkey
        Set pvComObject Of hoPubkey To vPubkey
    End
    Send Destroy of hoPrivkey

    //  Get the public key as XML so we can see the individual parts (namely, X and Y).
    Get Create (RefClass(cComChilkatXml)) To hoXml
    If (Not(IsComObjectCreated(hoXml))) Begin
        Send CreateComObject of hoXml
    End
    Get ComGetXml Of hoPubkey To sTemp1
    Get ComLoadXml Of hoXml sTemp1 To iSuccess
    Send Destroy of hoPubkey

    //  Check the x and y against the test vectors below..
    Showln "k = " sEncodedK
    Get ComGetAttrValue Of hoXml "x" To sTemp1
    Showln "x = " sTemp1
    Get ComGetAttrValue Of hoXml "y" To sTemp1
    Showln "y = " sTemp1

    //  Now let's try a really large k

    Move "1769805277975163035253775930842367129093741786725376786007349332653323812656658291413435033257677579095366632521448854141275926144187294499863933403633025023" To sEncodedK
    Get ComGenEccKey2 Of hoEcc sCurveName sEncodedK sEncoding To vPrivkey
    If (IsComObject(vPrivkey)) Begin
        Get Create (RefClass(cComChilkatPrivateKey)) To hoPrivkey
        Set pvComObject Of hoPrivkey To vPrivkey
    End
    Get ComGetPublicKey Of hoPrivkey To vPubkey
    If (IsComObject(vPubkey)) Begin
        Get Create (RefClass(cComChilkatPublicKey)) To hoPubkey
        Set pvComObject Of hoPubkey To vPubkey
    End
    Get ComGetXml Of hoPubkey To sTemp1
    Get ComLoadXml Of hoXml sTemp1 To iSuccess
    Send Destroy of hoPrivkey
    Send Destroy of hoPubkey
    Showln "k = " sEncodedK
    Get ComGetAttrValue Of hoXml "x" To sTemp1
    Showln "x = " sTemp1
    Get ComGetAttrValue Of hoXml "y" To sTemp1
    Showln "y = " sTemp1

    //  -----------------------------------------------------------------------
    //  Test vectors for ECC keys generated for particular decimal values of k.
    // 
    //  [secp256r1]
    //  k = 1
    //  X = 0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296
    //  Y = 0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5
    // 
    //  k = 2
    //  X = 0x7CF27B188D034F7E8A52380304B51AC3C08969E277F21B35A60B48FC47669978
    //  Y = 0x7775510DB8ED040293D9AC69F7430DBBA7DADE63CE982299E04B79D227873D1
    // 
    //  k = 3
    //  X = 0x5ECBE4D1A6330A44C8F7EF951D4BF165E6C6B721EFADA985FB41661BC6E7FD6C
    //  Y = 0x8734640C4998FF7E374B06CE1A64A2ECD82AB036384FB83D9A79B127A27D5032
    // 
    //  k = 4
    //  X = 0xE2534A3532D08FBBA02DDE659EE62BD0031FE2DB785596EF509302446B030852
    //  Y = 0xE0F1575A4C633CC719DFEE5FDA862D764EFC96C3F30EE0055C42C23F184ED8C6
    // 
    //  k = 5
    //  X = 0x51590B7A515140D2D784C85608668FDFEF8C82FD1F5BE52421554A0DC3D033ED
    //  Y = 0xE0C17DA8904A727D8AE1BF36BF8A79260D012F00D4D80888D1D0BB44FDA16DA4
    // 
    //  k = 6
    //  X = 0xB01A172A76A4602C92D3242CB897DDE3024C740DEBB215B4C6B0AAE93C2291A9
    //  Y = 0xE85C10743237DAD56FEC0E2DFBA703791C00F7701C7E16BDFD7C48538FC77FE2
    // 
    //  k = 7
    //  X = 0x8E533B6FA0BF7B4625BB30667C01FB607EF9F8B8A80FEF5B300628703187B2A3
    //  Y = 0x73EB1DBDE03318366D069F83A6F5900053C73633CB041B21C55E1A86C1F400B4
    // 
    //  k = 8
    //  X = 0x62D9779DBEE9B0534042742D3AB54CADC1D238980FCE97DBB4DD9DC1DB6FB393
    //  Y = 0xAD5ACCBD91E9D8244FF15D771167CEE0A2ED51F6BBE76A78DA540A6A0F09957E
    // 
    //  k = 9
    //  X = 0xEA68D7B6FEDF0B71878938D51D71F8729E0ACB8C2C6DF8B3D79E8A4B90949EE0
    //  Y = 0x2A2744C972C9FCE787014A964A8EA0C84D714FEAA4DE823FE85A224A4DD048FA
    // 
    //  k = 10
    //  X = 0xCEF66D6B2A3A993E591214D1EA223FB545CA6C471C48306E4C36069404C5723F
    //  Y = 0x878662A229AAAE906E123CDD9D3B4C10590DED29FE751EEECA34BBAA44AF0773
    // 
    //  k = 11
    //  X = 0x3ED113B7883B4C590638379DB0C21CDA16742ED0255048BF433391D374BC21D1
    //  Y = 0x9099209ACCC4C8A224C843AFA4F4C68A090D04DA5E9889DAE2F8EEFCE82A3740
    // 
    //  k = 12
    //  X = 0x741DD5BDA817D95E4626537320E5D55179983028B2F82C99D500C5EE8624E3C4
    //  Y = 0x770B46A9C385FDC567383554887B1548EEB912C35BA5CA71995FF22CD4481D3
    // 
    //  k = 13
    //  X = 0x177C837AE0AC495A61805DF2D85EE2FC792E284B65EAD58A98E15D9D46072C01
    //  Y = 0x63BB58CD4EBEA558A24091ADB40F4E7226EE14C3A1FB4DF39C43BBE2EFC7BFD8
    // 
    //  k = 14
    //  X = 0x54E77A001C3862B97A76647F4336DF3CF126ACBE7A069C5E5709277324D2920B
    //  Y = 0xF599F1BB29F4317542121F8C05A2E7C37171EA77735090081BA7C82F60D0B375
    // 
    //  k = 15
    //  X = 0xF0454DC6971ABAE7ADFB378999888265AE03AF92DE3A0EF163668C63E59B9D5F
    //  Y = 0xB5B93EE3592E2D1F4E6594E51F9643E62A3B21CE75B5FA3F47E59CDE0D034F36
    // 
    //  k = 16
    //  X = 0x76A94D138A6B41858B821C629836315FCD28392EFF6CA038A5EB4787E1277C6E
    //  Y = 0xA985FE61341F260E6CB0A1B5E11E87208599A0040FC78BAA0E9DDD724B8C5110
    // 
    //  k = 17
    //  X = 0x47776904C0F1CC3A9C0984B66F75301A5FA68678F0D64AF8BA1ABCE34738A73E
    //  Y = 0xAA005EE6B5B957286231856577648E8381B2804428D5733F32F787FF71F1FCDC
    // 
    //  k = 18
    //  X = 0x1057E0AB5780F470DEFC9378D1C7C87437BB4C6F9EA55C63D936266DBD781FDA
    //  Y = 0xF6F1645A15CBE5DC9FA9B7DFD96EE5A7DCC11B5C5EF4F1F78D83B3393C6A45A2
    // 
    //  k = 19
    //  X = 0xCB6D2861102C0C25CE39B7C17108C507782C452257884895C1FC7B74AB03ED83
    //  Y = 0x58D7614B24D9EF515C35E7100D6D6CE4A496716E30FA3E03E39150752BCECDAA
    // 
    //  k = 20
    //  X = 0x83A01A9378395BAB9BCD6A0AD03CC56D56E6B19250465A94A234DC4C6B28DA9A
    //  Y = 0x76E49B6DE2F73234AE6A5EB9D612B75C9F2202BB6923F54FF8240AAA86F640B8
    // 
    //  k = 112233445566778899
    //  X = 0x339150844EC15234807FE862A86BE77977DBFB3AE3D96F4C22795513AEAAB82F
    //  Y = 0xB1C14DDFDC8EC1B2583F51E85A5EB3A155840F2034730E9B5ADA38B674336A21
    // 
    //  k = 112233445566778899112233445566778899
    //  X = 0x1B7E046A076CC25E6D7FA5003F6729F665CC3241B5ADAB12B498CD32F2803264
    //  Y = 0xBFEA79BE2B666B073DB69A2A241ADAB0738FE9D2DD28B5604EB8C8CF097C457B
    // 
    //  k = 1769805277975163035253775930842367129093741786725376786007349332653323812656658291413435033257677579095366632521448854141275926144187294499863933403633025023
    //  X = 0x2D3854A31371FE86AFA7A7DC0B22BC2DC255D3B8D3D0AD4EF6C25DA402117103
    //  Y = 0xF6D66F0A39465C49852747337CEE6219F5E0872C6A8E8431EE57410C5392F3DB
    // 
    //  k = 104748400337157462316262627929132596317243790506798133267698218707528750292682889221414310155907963824712114916552440160880550666043997030661040721887239
    //  X = 0xAEAFB3C99F1EB63297861CC338C797561091F8E1F22AA807438A82E956CF9478
    //  Y = 0x1AAC22154C9472D82E063A69FA8E466854E4BFE815C56B496CFC881D901DF226
    // 
    //  k = 6703903865078345888141381651430168039496664077350965054288133126549307058741788671148197429777343936466127575938031786147409472627479702469884214509568000
    //  X = 0x9F6DC8BAA2C2A276CC9FA95F83A813D249C809D58B43A83DC21F28DFD126A90
    //  Y = 0x72D360D755623F7B039B2D8354C76E3534FDE48DB0DDF3DE4922F53CE6E2DC58
    // 
    //  k = 1675925643682395305404517165643562251880026958780896531698856737024179880343339878336382412050263431942974939646683480906434632963478257639757341102436352
    //  X = 0xFB6755D334BBE3138022D9F8B304FC723377906CFE49D5C32211FE5189CA33C3
    //  Y = 0xBEED1AB80F1036E3AF55BCE09E38E3D56239E00A042FE0794134936179600C95
    // 
    //  k = 12785133382149415221402495202586701798620696169446772599038235721862338692190156163951558963856959059232381602864743924427451786769515154396810706943
    //  X = 0x4886A382D1B15CA9440F648F3F0B62EAA212CF2EA5FA655020C564FF3F9A2596
    //  Y = 0x56E92A8F04D4228AF76553D366FBBCE76D30A88053ACB54DD9F0035323E76252
    // 
    //  k = 214524875832249255872206855495734426889477529336261655255492425273322727861341825677722947375406711676372335314043071600934941615185418540320233184489636351
    //  X = 0x499040AE1ADB07FA27252C346B8CEC987C0F7376B76334A89A8127A5542665D2
    //  Y = 0x2AC0FB385AE831BEC5483368A2CE18B217AAABBBE453C7BDAC963D4B8E887E43
    // 
    //  k = 51140486275567859131139077890835526884648461857823088348651153840508287621366854506831244746531272246620295123104269565867055949378266395604768784399
    //  X = 0x1897309BFE4AF9D970F518BA4BF3A5DC8EB8C0CF3C5C70CDE21D6C3E63673F77
    //  Y = 0x14A77D8B9106C97458C2C9C976ABFECAA5FEBAA742367F2820B3EDB7A8C003D1
    // 
    //  k = 6651529716025206881035279952881520627841152247212784520914425039312606120198879080839643311347169019249080198239408356563413447402270445462102068592377843
    //  X = 0x88DEF4514AECC834D16A599C580E1B6AEF8053A3E4F0CC0B65D703AC9631924F
    //  Y = 0xF156EA66741ECF2870DD6669CBA93A83DDF8761778BBF7BE9CB1E61E4BEB49F3
    // 
    //  k = 3224551824613232232537680077946818660156835288778087344805370397811379731631671254853846826682273677870214778462237171365140390183770226853329363961324241919
    //  X = 0x6D548A62EDCFAB8BF739E74EE0582BE39B95C5A7CE81BBCB687082B7B6C30414
    //  Y = 0x67E7F2ABC74B0480DAB3761F8D8A0C760A0D038810383337C707B70BD4EF5CF3
    // 
    //  k = 12486613128442885430380874043991285080254917488396284953815149251315412600634581539066663092297612040669978017623587752845409653167277021864132608
    //  X = 0x653430D254EE638A3C68794E48B3863B2A25CBB5E63306FF5C6BAFDD5B9F501B
    //  Y = 0x3E6EF53C0A53F29A1D5F94903D217D792CC905396AA542C51B699097296FF5E2
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005429
    //  X = 0xE861147B179113450D991ECCC243040BE4B2EA83B3A668D44B52DCFCBAA16680
    //  Y = 0x536FA8DBF602E5B91A1DF36276BDE27E3C29DF1E8392E056548EEC911993DB23
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005430
    //  X = 0xD6EEF821E1257650E463E6D23AFF7899284672410DAF43E1821EC1CCF3C38750
    //  Y = 0x2961FD9956CB06192D3E9A9F06CF8A0EC3B724DECF8F70CC3AC1EDAC9D846159
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005431
    //  X = 0xF5EED3CC425ED32A447973A400540A1253102D5DC8BC31C30C5009334E8BC858
    //  Y = 0x6B29B473AA9FC7D79C1F86EDFD2A271A4BCF264F07FA1A42EFD20E6BA324F4EF
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005432
    //  X = 0x5B16C97257650329D8026B9108116866D78495E92537D5AC29C00770FF6DB91
    //  Y = 0xE56D1B1C22F914209669DED2F2C477811D7ACC0BE405B724F02102B0CF57DADC
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005433
    //  X = 0x5404BB1F6006E3970A91F654B579349B5645BC8D62ECEEA02E1C69C9BBC7ACF9
    //  Y = 0xDDE19DC28B6021F0B9602C1B0DD7AC6F9F871D3BAFE79D335BBFFB6A53FD3FB
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005434
    //  X = 0xBB588F32A40A57D86B3C5FA795A43769BF87A42C2774EDBCBC45D851301DE591
    //  Y = 0x9B52D41BD1A3784786D47AFC24D5C493BC0F64EB0AFA34489C87D5A29F1CE259
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005435
    //  X = 0x1BF822D6020CC97B8E479D533140C7D04576D2C444F1C1EC02C57B1044D6506D
    //  Y = 0x29607A443FA2E444F4C115CCEB748A05A3D78D1B9E191D5074448764DB723BE9
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005436
    //  X = 0xD88AE8E791AFDCD2B5DDACA65204059FCA9EC59B038B7D5A08F6A39BD7D2D133
    //  Y = 0x862552BA73B4789EEC0B157A033ED20C2FC4BF319FAE87DB3F12241971E92AAC
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005437
    //  X = 0x3ED8084EA73640ACAC7AFAB65FB48EE953B4D76B2BA1E986CFC88636467CFD8E
    //  Y = 0xE25DD0C1EBD63F9E00DC3ACB0E5134CBFC4AF845AE5BDECCEA161BF5FAA826AA
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005438
    //  X = 0xBDB5768EB2560DB3247C36AB979F9BFEE59AAC1677BCEEB045E87890442D0CF5
    //  Y = 0x20E94B2A3BA26DCD091CFD56F24F41D0DCFB2D0BFEA2428EE8BEE04A3B54D745
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005439
    //  X = 0xC6FAB3C0731FCD4EBE1BBE197C97948BC5412185955570D46BF0197CA9048550
    //  Y = 0x2EBD9D77F68DEDAAA396AE7FB5C38A3C6F1C34CD03C7B580E9B7B22700CA547E
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005440
    //  X = 0xD8128CF1ADBE0112E6F039DD196E17B2276FCBD77426331228FB55C9AFB9988A
    //  Y = 0x6EE1FDD9DA865D7D5CBE33B9C98B6003132437B9F3E17C03694F923D29B1D5EC
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005441
    //  X = 0x51FE8EDAD2B2413AB72C5EDF3B780177D951B403E77424785AEE564D9C97C9E2
    //  Y = 0x9F5427EF6124E68CC5027763B83EF7AB9EBAFAE424BE0A7BE2C235C252B80667
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005442
    //  X = 0x125AAFD2CD7D23BE615E2EE4B33D2D6D7DADBFE3581A385BA30943AD11600353
    //  Y = 0xBE6EAB18544F9467F0A0962F40FE2BB7390B90D0EE19061E23F2BDDFE7D1E147
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005443
    //  X = 0xDB6B9D504FB3889A8FBC1D8C181AF1B4B75FEC1A0705429A4052FB1D1684F423
    //  Y = 0x8029A80E22607E8916021D53E6EED6E8AACB89C2E7B319CD60FFB25544B9ADD8
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005444
    //  X = 0x8ED563B390950C878D103AFC34C8A2F601BA68D8506C23816AE0DCA6B9E8B72A
    //  Y = 0x97927DADA6B9741B729A4F388854173B6969638F88086FCE19166D926BF9EE39
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005445
    //  X = 0xD1C5C17B4D4D8D8231A35E1AC0692413EC1131DE9E4D3CCF63D0457AE52470F7
    //  Y = 0x7C7CD5C83BF53E0A571B613235B120B1645BC60F8A83BE6EC1795D1BDFC73A93
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005446
    //  X = 0xF460B18ECE8E80F49E019DE5ACCDC3CCB492B4841F879B2432B6DFD1AB0B1B39
    //  Y = 0x1733F8A4DF56B4BE7E28A5C395D21CD1F85748DDA6C6517854EF5D958E68CAE9
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005447
    //  X = 0x2A75A7BC8B47276C63DEF73AAA34FC3852983AB7356BDBA086CF559C74573A6B
    //  Y = 0xC3C9B2EA70A631B36F73808494EA626EBC93BB5D8ADC2A72DA2DF9C00E97EDA3
    // 
    //  k = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005448
    //  X = 0x6D04A0AD9E96C903869ECD0DD952E1968979ACFA8B2F58AFD65BAD633E81ADB0
    //  Y = 0x2B20353E8B6491157E13FF3AC57B11947571F7C2E0124439BEDCEECCC04C40E9


End_Procedure

 

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