[3.3.0] Sporadic dilithium_kat_4x4_AES_Deterministic failure

[thesamesam]

I was trying to reproduce https://github.com/randombit/botan/issues/3916 with 3.3.0 but not yet succeeded.

I can reproduce with both:

• gcc (Gentoo Hardened 14.0.9999 p, commit 568b3f9940f87a775060aea789b2f438af477e9f) 14.0.1 20240218 (experimental) e63ae9085aca9d306a2f16445b473289b9186e10
• gcc-13 (Gentoo Hardened 13.2.1_p20240217 p13) 13.2.1 20240217

I did however hit another failure once in many runs:

Testing Botan 3.3.0 (release, dated 20240220, revision git:9074b04c1303a24e2084f8325fa570a5ad4f2478, distribution Gentoo 3.3.0)
Properties:
  CPU flags: rdtsc sse2 ssse3 avx2 bmi2 adx aes_ni clmul rdrand rdseed intel_sha
  drbg_seed: 17B5D570B30DF7D1
[...]
dilithium_kat_4x4_AES_Deterministic:
Dilithium_4x4_AES ran 601 tests in 92.28 msec 4 FAILED
Failure 1: Dilithium_4x4_AES unexpected result for generated expected private key hash
Produced: B882DEC292A05E8890222097C4C00FD9774B49E0BDBE981EBB9F8371A181CE6C
Expected: BD0C8516566A958D12A458E7A1B5AC2763208AA9988BEC64E3A695DD12D93DD8
XOR Diff: 058E5BD4C4CACB05828678706575A3FE146BC3492535747A583916ACB358F3B4 (at src/tests/test_dilithium.cpp:101)
Failure 2: Dilithium_4x4_AES unexpected result for generated expected public key hash
Produced: F40020D52D757DA856F42F7FFE03E7C78F4F9ECC5BF3BCBFA79713EE82D5BDB5
Expected: 1ECBF9C21C96E7C287901D8853995FC2EDBE0A86680E42A0747E2DEB4BD11056
XOR Diff: EACBD91731E39A6AD16432F7AD9AB80562F1944A33FDFE1FD3E93E05C904ADE3 (at src/tests/test_dilithium.cpp:101)
Failure 3: Dilithium_4x4_AES unexpected result for generated expected signature hash
Produced: 3D00CA1AA521DE5FEECE2238E6618287854A38DE269D2EF46AB8075A6EFF3C3D
Expected: 02BE7AAD469649B0F6833B3B975A8897829A4F987394DAB82D8D0BF55BBEEE11
XOR Diff: 3FBEB0B7E3B797EF184D1903713B0A1007D077465509F44C47350CAF3541D22C (at src/tests/test_dilithium.cpp:101)
Failure 4: Dilithium_4x4_AES unexpected result for generated expected signature
Produced: 43AECF930F5CDCE7DE1077C07321C58B9811942AF74701041C39638EBB27ED7D1568554BA0CB6F5A2B5182F928E344AEC71951C971B94282898EE75F79F475CCCC6C7D8F9523F301E43DEFC9B3BA10EEA63F98B39D479EB
101417C7C5F9DA150DA63ED556B8878AA540E66E21E05AC1E8AD169EE6C8822A3916852F0282D1547A168584553FC858EAE6538CDFA37022E9B32287080D590A87846842128B68B37FCDBBE54D80AA8F3FE16B1250964C127ECF1AD50
652D63A3367D9CD42FF72AF7E567D8F20608F19C63E47ECF688804920E523A7E2FB1C42B01D4AE14EBED2ECAD1694C0F2CA1A80A42B9792A23279360BDEAB8D168A1F294644982CEE6D625251C30A10254D04AEDF34671105B57CF6F7
F3269DDC97CE8ADE11CD7D12AA2DFF5BC76815D124486DF2E86CAF10B43D6A5299EB92679C4A2C41CC2E0587466B1CE46C01B3203E70366846DE6313A3782CA28CCBB0A9E6D2D6639608247BA5F83C68ECC9EC12D34CA684B3D020135
6D2A4CD51CB980F110AAC8E77C04843E10479943320EA947165BF5FD8E098D6C41140899B5182F55237E1F62235C3F6CC8B37D1CF4703258E43ADA096DF9105BE92BE5CBD7EE691B323794285075500723C0A82F693BC09FA55B7BD52
40A10A438C002FBECD77A86C38B2CDA8F84A3D22BA4AEF2F9F33597E2805911F3A5277D13753496FC3F9963C6CDC3CBC0F4A43EFAD7197C0101CE2FF0484F8FB1BC966CBC2D02C23872DFB43E96B3613C61F86C855635C97FE68C5B45
5A3C70A55A74B4712F31C01DD6B57A868E791CE3E8F511BE198A8DC28CB3A8A07FCFB5FAADB48D599450CF2DE95EBC29E7EF195DD2E2027CF176E12C71F626B023F74B78144F1CEF7107560E46524C5DAAE4AA36A524F2CE6F32A70A1
C1482A922EC3CEDC8ECC5E94C11F715C4AF5618F62FAB9E305760CC4359BF8D1E2240B3B6AC94A9628273B9EC91CE4FBEA94B268E7CE187DBF2360A7BE45CECFE3AE82D7484A6CE1DD662C2C705CBB7FF00208DA39E43A854C2D5699D
C3B18233F34195300C8514EE19D9F1A94162D5106ECD1DA86820013A6A1EB465F85C46994351275A6F6AAD6A0D0BADC329916AFF2E66D7251BE0B8CEFFCAB1D3E50C8222F8BBB964C023FE5048CBC5A35F147ACEB8A2E578380F930E0
F04E3BE13A1D51403B7A2D80B14007C1F555EA124897E17B7A01B7EF171F5878922EFFA68F36FF86BF4574B90AF6452998389923E6B22D49C65E51F88911EBF1E2AB109D6C8F49157276772F7C46CFA0138E20E9EC7254820AC919997
0F3B7F419E9ACDBFC78240B5340DF188A2097D9599A75D15C24D996D243B16FE9ECC09E40268318B70F2759FCEBB6F03C60D5CDE9B813609A96F5ABB074D8D02B6BBB5C50F6F4E63B77DB51D88D9757D45B9F34C32DFF8EF90AC8BE7B
306334F018BAE4FA2A6983537A34D81B13A60F782A3AA05051C41B203D74F4BEFC6BF3D4FCEA87CBA32D9D3E611D5EC3BEB943ECB3A9F85423DA612DB91A0265C996598EC30BB89459A61998FAF42EB3F86C995FBE24F2FFA4AD9E831
280EFDA5DF103CAAB858FC5A36C90A8948647AEB3D882FF0ADAF47A0EF718358032A5995DB822BFD34568F4EB9F41A9FBFBF9B3F299058FC977104C421738BDFC4F246F5D8B629422AEE08D5EF97B2BF5F39A3662093B20549DF963B4
160CDBF2607655EF19F3A8195C0D179F728CE576388B907A2B35927F3C855484034B777B311890F76F12749B6E28E220931D4169E36576A9A2D1ED2A5FA1D7FAE56D5908689DFFABEBC22436D0EB3C7B898E98E5E11D362FC5236139A
6EB11B9506FB08231BC9EF8D3D2DBAC02C509E5C2FDA261310A25540967F482F272D1C049694871B5603502B9B91C29F656D60CB9A07F228D84736893993735FEFFCA1C87501A987AD43DF17868C826E7EAD91E64A6132544FE993878
3A10E323DC693DC56FCE4EA7CB3B38809596F91B1C87CE8E208F600324FFF28C42590BBA07C9AEF4737AF52C15A21590652B35D2D73EFF25A96444BFE5619DC41D9D4A4024A2D8154A6EDBA3F7F2EA7C265B8B84E46902B15CA623859
A232AF9B989F4C810053AA920A375F2E6983B1BB8DADCC186EF6D9A9EF60DCB53F554D4E73CD7B437DA914ED51478AC827A3589427DDC1E3A901AFF2C6091CE14CA36CBBF8DD7B9897D8832CE58BA8524CE33AC619166B22A20D3F90D
E9D039EDA557AEA6C49AA4224ED5FE71C12CC7687A7E4DD6C496ED6E6293267B7C9CD478357F90E0D9419F4EBA113A95529B88DA7337F75E1F6E04A98CDA6CC19BFB1D34AE127C69C1F8E111E7275E09BADC7B4CEA30C11DA420F17B7
56FD50D8B6352B303922D230BCCC3358769EE38752F13DE705A3512692FD9948AD2D77F8785E50A5A112C7AD8FAAF9CDFF49E45BC2CEFCEFFBCE5E2B28DCBCBC919159DA036EA3D3071BB588902D7C28DEA23F040AD6710FBB13C88FF
CC91729C6680B0A03254555A4519ED5EF0738326F28411408E06C15880300D82147BB9EE859D77C39FD7639CF1B8BD2A8CA0DD58A18E78DAB926FF276960BAD108C0F14A1439C873922C98A360D9A97FFEC23ADAFA75ECA90D5E704AD
DE045C844F0FC5377F869080C5F077B09E30D6256FF590587A7BC87E4FDFC3792B9CB3B351F67A371E54A9716B442CC3668C9B2BF6B465D9821B4C5AE1648E95F7CD5C4CDC7E3C880324996146547169D68E7D7AC3861CE56D2A05062
98368F3887783AA8986E20F10B69F4ED4F500B266B8F0FA7B709D2DCE9D65C3B76ACC55BE1FE6DC814F94C0FE1562B22678D60658569584D292FB17F379DD0358F8A64018FA1EFEDA3D08A7665DFF252764FBE2742CA47BB1F56D5BC2
86C9C3AED3CD7F2059B219C3B96CD4766C4637F74087C5FC2C4CE13C21A8AB20653AF16CF4D6DB92C765FD17853E5823CC48AAEB0518C042E65FE51A62E24F888194E09F86C9FE9453ED444BE511A44D760F4A4AEA81C768DE77228D2
E8B71DB64BABD9A552EEA2FBE50F8FEF1CF108E286A1566926A80B1BAFE2C34C166AAF34A688018A71E3618DD7FC9E8D3C4C0DD0C9F4F3EDF9AB7085203DB04D6DAB02DAD37E1AC6F27364863C6EB4D43F50A23F9C75E6C117691636F
5FB809E4D4363C37B9F3D1AF2CDB9870DBC14E36DCDA919841DA560B54FC83F82B34F346BFBD13E163AF0EA98A976CD8BDC5EA1846ACE573814CE3A89E32BE72A24A7951A0275C49F47A01C1819C624300FD14B16D9608082CC881480
59AE01EDEBC9DCCB6D9730265215ECC893001C92F4192C0BED8B6573B09425F757A8B9C9EA7ABF3F4FB0B1E2A323B40657E9EACBFC3CCE4E6F3F60F24253A4C4D525A79888F919BA4ADBCC8CED2EBEDF5F60308111A22254D6674899B
9DBFC4E3F2F6000000000000000000000D1E3546
Expected: EB5742B00BD29D1365DE0E434DA8A154B0D939088507EABF21C68FF30BAEA9F0E6FEB469B6D4F14FCFA520ED2233A54778CE4FACF32A82593F741C3F1351DC21248C06F0688F3566AE473B0602E09:05:20 [1392/9019]
C1F3AE2639466F14376391C675CF50839FE2C29C3D159BF45413CB9119B7626FE5D4365D7A910D579FACCFF17CFF7959FA9DF0E73C3DAECF1892E7C5A19F009A19186A99D2864E9516E50FF8703E10BC320C976AA76E43064C88FA5AE
0342FEBD206B3D365667CEDDC8301C80FD5E0FBB344256907A4634F7C28DF75B6B8C959A9F659584A5E0B1EE70C2AA757EE84D878E52992D01EF38D77625CD9544B8281958EC99AC5C735506BEA736BB9FD82CCFF5B3FA30BDC61EB6F
B16C6729A0657E4DEDA0CC7841E11E05087DF7724A6FCAA8C9F538662FF043C54FFBDC4DCE9F76CF07DB4A2DFF1D1E063D94C71730F0AAABFC67F8E97DBBA4714F84948F4B8E85BFD9B745833B3490C5B4FD166B2A128E8843A2C9D3D
852599BDC7C365990EC971C4F1D2B1E7E3468666FBB7D2CCC31FC1B64D0E97BEFDBE7FD3F47318C3DFD70A9B3A0506CAE57623E77E2953E62DFDBD1EC81C63EAA41C58E835206914C5A60884EB0A4DA40F9542582FCEB8E5400EDE7C7
5ABDD0C97DE2C1842AF5D5C667CF49F8C459529EB0CDFD2F8F29570D637AE6F1B87B929D9D0C394C7D18C32E3179B4F089C0B2D31DE590E32A06DE6EFE438246864729FE67739BAB47429F23A460BE5E3584432A3CCB739619CF75040
5157C405C3C8F18C7BD351F3A31F7CB3442BC8ABAF8D1BD7EE2C299F12A80A5BAC18FCB3A35E4D908AEFD35E4EC283749960333DA17B670FB434D4519CB3A89FCCEE6D9DAA514C4033D44DE0B44BC2313FCC0D971C84798CEC07786B9
788305950C776D3FA28045E795CE83C9BEE884B4DA3C9C52DBEC6C918DBE2925CEEB303D8A9BCF82280EF93487E6F11BF5427274A39D0AEC18A97AA8220E32A88DD0FF84A762D08674408197BB33D79F489CBA1EF67EE978E78B7C967
20E44CE9C63146739311E752671D14529F616EF55B9375DBF5D4065428BD38FEF2E348AD8660F7D1A89DF1B4E997D1D9F7A1A3C920D3CDB86279E823F9640D5A0DA87C72257F1B147A881FD6E878EB1196C7A2DE7602D21D69055C927
BC593CBA380687CE2CA0B7E40EB175C02409282318363D36AC8009306D913758204F394DE0D5B49FE7882B3665BEDFF8B6B49AA1A7B26E5CAE27E6A0FCA4986468703B2D32675B3812F59B7E6DCCCE73CAAAF7FE503B766AD05D5B2E5
DBC77999B692715890AFF83BFD63205A42A59F6EE3BC13C13E3A53C4130D0FE1024F871C1C149AB6DD715EF9BD810237EB0FDCC21645BDF31CE91D324F76E7CFD7F09B0506CBAFF37BE519FBE9C8AC7C44AB78382BCBB2AA303C662BB
DAAF8C3B8EA07BCD5EE1EC1A57356BE728FEBBD4463502AC998832A3CA40BA5B64F1A2D020BF350017DBEEFE43C292CCC13E8B44FF8D929BE6C5B9517FA9EED7259C7C87EA63D54E3F6178908CC80EB036B0D0FCD9398CC194B21E45A
0E0A9AFF15D2EE81B497BD55DE0B608DC5CF278AEE096D241C73C7385D2087F4B86DD890538F37A297E41A0E7F2F97917FBBF369E36EB0A4C12733A8473C7636393FDAF40932E3DD02B67A3A3A838F93D1EA0DBBC6D6685C5E82DC2B9
1D86FBDA077CA826FF515383768F4D03A7BDC41F4F91695C01C02666B4134C51EE1F6E6F8283E336D2CCC41154A23211F9DB06530A3707095A4F21F2D3E423B5D059A8DF17E62E84DB880477F0E6A7CA063B52AD819FE9F11D4822467
EA80272BBA5A56608FF5748EE521876F89EEF035EB83B092E7CDA8329850BCBC323583AE31D9FE5725B8ADCFEB41EE8297ED7D84EF47E76B7193891572DE286F1630FB03A93262DE3E893949B0671E7343DADB408E2E76793F53AF034
6581D41D12CEFA435B9EBAB31134811A237DC0E815B5925C6649E6D51AFC7DC9F3416F3A84C1A440D82753D54BF17AC51DD047C3F90B3455D4E31B9DF9E41E99F26800FBDDEC1F62777CBA1ED83F15D1E807F4DC638EAC9AD86CAE3BF
25AB460EEF4E55C37C2225C3BA2FE12D8ADFFAF06488FB839369407ABFDDA75DA47446414B76522011EA4084C521DC423FDA10EEDCB864383517936DBADBA395433E4AD4ABBAC6E58F3586BA22908AD9984673B540BA45F01AE9F1CB8
34B6EA8E56E4280036F7FE9E61C5BA2AABAD0161BE181D1CFBAC87BFA2AF311D114812894C8E92A7243C37C1E3DCBAD00F536DBAEA1156D0062C1265450B005BC1C20C637CDDD7378EA4CC08771AE4D5F86A43518B660FDBB93DEBA34
4026405C5BE26FF5F62AA491C5A9593C11FAE4191AF7BAD9044E60D426598A9CF42BD88F90A2DDFA8F51E45FB593054680A4871D8A6886D978D82D0F715905E80837D8430CE568DD7D70D055EAF6F36DA9335905D4EFBB9CFA2250F61
992B162623150ABC0F151A55FBB0A9564CAADB134D0619854EA664985B02ABF8A76F7B9A15C95D0190FD709226EC0684E804F6E7B5A9CCABF99790232F60132FDBB29024F8B4FE4CA7C7234F10B58133098DA1CB0EB456363DE9C9F2D
0A3EB3851855A50ADC06FE5C4FA08084B2B5056F9DAB5B5107397CF52F98C1AEB5CC62BC53C47F0F1E6F907224C384EDFCE3382D00E04394678564E6914C46848BDE4ECE80394D494D484AC4454D06F3188F24001B7CB605BF525CAC0
B1B8B1D80B4481D3373828C6C5DAF1599EF7C47FB9AF4F790749FB5330AF057C1A9A38B493C2451719D239037009E4D09738F07BB4DBFE2093279338F5D2C2524988EF5FB9B3BA864D520A519668157847791960EC557076E628E92A8
1E7BE0D3D0F5310348BA0ADEA97FE9E6FD5B264B31CC1068FF8516A6157E1440AE2DAD72DB883E3FBFCEBA66A595461A9CD4BCABB8EB629E0A8ECCF011B30F90FE2EEF622A8C9BD30AFBBAE92EEFE075BB47CA020CB1B7309B7B1E46D
8999B3A8EAB58A5CD7C79FD287E78EDDB5602C17972BD417073D78355E0C83BC0315847D348C7A61054688AA0E633331900F08DC24CB324ABCC29A8ADB18F6B2AA74EA5E6E506F5AD4E870DE2B965682D7503368F2E971781B5E63FB6
8507D6781837E91E0C880E094732B65F08DEC61813DE64A6269EC0557D3A00611F5D1C9BE130DE092C80E603EEBFCECA6343819CA7FAC59A9514691A7376F026C226B345CAF856F04B9A704388F223DE421D95EDD2EC184B94582D8A9
7798FC2E14B6493679A2BBAD860DE418460114E8F218F989CC638A10D22284A546C7A7B858C91A4ACBDC0C5D2FD132C3E4B85AEB2BFC0C8D5DBE9ED0313181E283944516C7A8596A2A8AAB2DEE1E2E3E5F41F2021263F545D65676F74
99A2A7B4BFCAD2EDFD00000000000000111F3549
XOR Diff: A8F98D23048E41F4BBCE79833E8964DF28C8AD227240EBBB3DFFEC7DB089448DF396E122161F9E15E4F4A2140AD0E1E9BFD71E658293C0DBB6FAFB606AA5A9EDE8E07B7FFDACC6674A7AD4CFB1581D139550555D2D51BED
D1E7B9E1FCBFB5013AC5AF132377D7093AA224F21CF5C135BCBEDD0FFF7FE045DCC2B3727813DC03E5BA4A7529C0B101107BA36BE39EDEEDF121C542A99259909E9C02DBC00D26266928B41D3DBEBA330DEDFC78F7F80F143247E08FE
666F9D1E1616A1E27990E42A2D57C472FB56FE2757A6285F12CE3065CCDFCD25443D51B19EB13B904E0D9F24A1ABE67A5249E58DCCEBE00722C8ABB7CBCF75442C19DA8D3CA51B62BAA57023A29797B9CB08662206F58B20E691D1D98
424AFAF537ABF493FC6DB16AEBCCE15ECF15E2A36E27A75A219997769BCD2997D6104E2A52D55A8ECBF54FAAB97602E2519574370E809CC3BAB99BFADEC388D3C34F2426AD5C53DC4FBF61F89ECCACAD5834FA79F95E280CF072E9C08
E80FD568DB7AE5681E63B9238DD635D9F3011F25C9B97B8BD544344BC3071AD2BCAA774A416B3796FCA915F9195939A62DC55EFB8A5961BEC9C76717A5E573B14D37BD23E2CE000FF7919CACBB7F1DA32C55EA7746F5787AE555A5A95
1A1CDA8AF1E2EE3AE7827DAA5F7D84503C136FBC0A871200101A0E734B7F77EE8229E54CAA5F7023BEE155125DA5884C868AF13CB09407233A1A3C91FAC77ABD9D8E4F35A5A3B788C06F64604D0B884DF39BC5E269A82F01E7A7B0B05
0B6BB4A099BC45FD54E291EE75AA0635CA52D44847780A69F7A6A45D9E1BA2FBD3D749490EEAC0C91EBF1C73A79C3F5D7E8F2A60739965734542357DED458E2FEF1926E5BE1E50AF42D31BEEF2198E6C9528A7A1B9A08B428335DF618
B9CB2F0722B4A3E32C4C1B7354D1F295F41DE53BB8C625B1DE9A6055B825D1F42CCF3B06E05285140029C2AA4EFA15E01FD6C01C44531291A78A1A0F9C4BFC676E7E7D53EF28BC67A926ADBBCB6F6CE0B89EB2C4CF9AD3FDABA62A0FA
E355CEDA3570D3439F94F3BC7EC4E5FBDE03BBE5355E68739DF4076E42A38C9B0ABF0E34C531D08BC7F75CDEE49C7C1ADE30C9360EB51A9D799950ED06AEBC89E8A4FE50DDC4A270BAABE186A0B32EB2C9D3D810CEA03765510ACF9C7
4C17075B021BD68E17DA9A64BFF17201D15CC23150A1DC4DD681BEDF7A8E6F20B261C6EB6FE34B1958CD5F8F6F489AD12E8C0382410043156879B75875B573958ADB2BB05EE8122D6083EC51118A01D3D924D717BC4922E8DA9442B72
D4FC06D82808BCE7572DB88EC96ED1D2E0ACE2FB7A1B4ED4FC77CAA93736191F9C838EF81E7CAB3DAD832B66733A6D342D02801C8DC48BFAB5864789483B6ACD614B2EC009A4E190CC98ACE66111D90101128B7419144A45A090EDCC0
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041D63574D3CD2EDFD000000000000001C01000F (at src/tests/test_dilithium.cpp:101)
Note 1: Dilithium_4x4_AES Test # 1 Dilithium_4x4_AES failed HashPk=1ecbf9c21c96e7c287901d8853995fc2edbe0a86680e42a0747e2deb4bd11056 HashSig=02be7aad469649b0f6833b3b975a8897829a4f987394d
ab82d8d0bf55bbeee11 HashSk=bd0c8516566a958d12a458e7a1b5ac2763208aa9988bec64e3a695dd12d93dd8 Msg=D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8 Seed=061550234D158C5EC
95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1
dilithium_kat_4x4_AES_Randomized:
Dilithium_4x4_AES ran 601 tests in 79.86 msec all ok
[...]
ZFEC encoding/decoding ran 10449 tests in 6.09 msec all ok
Tests complete ran 2940448 tests in 23.23 sec 4 tests failed (in dilithium_kat_4x4_AES_Deterministic)