Ressu random numbers (2nd edition)

The next chapter consists of characters that try to resemble throws of a 64 sided dice as closely as possible. Characters have numbers from '0' to '9' (10 entries), lowercase letters from 'a' to 'z' (26 entries), uppercase letters 'A' to 'Z' (26 entries), '-' and '_' (2 entries). Total is 10+26+26+2 = 64 values. Characters are grouped into sets of 8 each. Throws are random, so you cannot deduce next value from previous value(s).

Ressu random numbers

RP0f7gdh wI4zT7LE RkEsNeEq psrXMM16 C_seOXXL IPANqGFV m8Nx_IVq vLMWw1IY 4XwM2yx9 eSZw5BdH QSVI7zWX 0vc4lSP8 xmswVw35 j3−h−N7O iZq1_MB2 zqxWa63D hXW−LR_K eOsCnHjV ajF−QziU piduDE8F Sgzkuzyg Wl584YfZ YPtbW−oI dDifJU8n LhAfRl3E wquFZ4xR mBpFQ8ot ylNngSvg 9pTYiiKE Zjr6iAqC iIjyTcgq JRl7nnes KejmMELs −19BQb7a hbotPy−5 PbHOf9op nbgRiBCo 7yPTwIO_ YzeLNG1U z4ss4TYE bLsg8BRK 5PNVu9fe GcpFuacB GRQfj−et uPt48oEC fMGPDA0p TkXLGBGZ iq6zBFfT U3Dx41yk IbenaLSc F6KK5uCi qdWwZXLH mB5p3OFr FayDH94u yCqMehKM ZKo0Uz−J 9byJpBmb 0dYvm0I3 9z5pBag9 w23jpFj8 Vtxf3ih0 obbz5dFT VrXgzgFY sq−qj8hO 8c9rtpfW 5KeIfRNQ cVLyKL22 KyMsOTmX IobcqYMd wOKjjXjS YMfUt4VA qCwgr4nz GAUnqjVJ i_wVKLZ8 k6bh5t5T VCEE75u7 42SnOB8o oyfAcYzI OuOhmkx4 XdKq11CO CyxGuRLT 7N_AWit0 v275asQU −iiX6USy 1cw5CjJm 2XIl5_di A7p6bbVA BVi1D998 yUVAXHZd 7CbI3tfu 1yYeRunS jZTmIIhO hMA4EPAX evKSbJuX 78cj8_ED zcl1HIQG sBWygmSF X3N5YZwD 689r1Vjv tbkAhm35 fnVze428 bXZ79SCr c3aPX7oY y3yhFoVY 5dVeS5cx xtsiYQ5T aN_tAOoy 9PVdi09B −nRqvLt5 A9RmYoFX MpJGtmev WbxL25hW fTeNDagz OLe8eq3N wLM5m0EZ CcHy4Zy2 QG5p−1Z2 wDzjaMq9 m1i_sou7 Jep0imDR 2M5Wojro BCF8xw7I Ena8BkzI QyMr−ETE 8B1QSwiV TXHYHLLT BMR6cN−d QQ8dambk n1ktk_Qt UCpzOWPm RLxLQucC thlLbXL2 IUxD11m8 −PSDGdlD WlSwtcCN bkog4ZWN BAgEiCJV HWg0dyvv pRreCLDD obrT0Sef lDMxSjTT QErj96N1 G4o0vt9t 57Ik4ZGs 3X9qd3−0 U−SOH0tZ HJ7TAhO8 1ei9mQ1c p1U0MY7N Et74k75Q qTO7nGrF 4SYt2o5P cdvwBVXc U3KBcTQm FLheFuuT ZB2mV96h DhUNUuoX q−GKtT82 dbW2wYeU r9Gc6−ln KRQmx5R5 3pLm2dk2 GNdeQKek 21KoM81− IojwarhG C9yYDf3b −pp−zFo− 0uEqAw_M Ho1eoEZe B6rAz2ll rONtU90S 0tIEhhG2 OJIJogrN FJsS3M9a J9Y8Alh3 lKVzBVzW KBdzqnEr zuhTPkrY zaeYWj45 Sva_73rw 0M_zonmf 5bHAjGYE p−JbMPBx fr_piisR −JpHMNJJ JJwnpf_h tWhXyiiY vF_BM__w Wa_Iw1Us o0w−DU2T HnZpd5Ra 57zw2QJM nzlGC31q e−ztAIgx QHBqymcA NdODidPM bJC7SKEx uaAZ2q−q Mwz−74i1 72x4qTD0 LekED6LS KwXcnkgQ Mm_x56l8 fZfJ8ZQi 0dqS1OMb 9BGCk4Kx hIi0t5sT gC−VIn8z stC7GyIJ fCQ5k0MY Vi9_nhZK 7u17WV7I 2GmI9OsE D3LMN4yC pCSBKX9S WPrKtFFj DjQcnR9l LMKcT−aY ePk0AAKz UrzlnGL3 Qc1a1QvC 7hzonMJi fhY8YaZi CqYRVPZf tj1JHTwH YGC02zIw Yh7dMBtp BifmecQx w_BVKQNi 12Uohh7G pZNfNOwT KM6ejG9Q xGhQki4J EfYf4H__ muBXQlzx de1UMPPM sLNeLtDK JXx3−kz5 ceANckZ2 uwLhYXoA ek−T1NJD qPdAidUe ouHC312J iplmlzUm CeIe6vkC fsLtNTKS 9Vf1Pw7e LYlMOEzX 5Aucb0Qc UUEsrq6n 9−clgg7m IFVyfpa9 XAEfI−cO iGYbaxYA −aIn0Jv3 zasJYX6x wItqrG7Q ZlfHxh9Z xWscoxry mJb−mYv6 ZJd_Mtb− 3pzJy7By v2Sfj1WG pNHNMuWV YcYC4dCc TYcSB3Md dTrwT0Hb DUX2G47f 23xo9xTw tB7−kgXj rNvPUUSd GxqHYDa_ J2ilHsQy T2hklg04 0CvszRU5 F658WDm4 FJtWQsGQ YJSqkb7− LgLmZ4vc LHIwg4qS ZA6FyEtd 2iWk02NZ WC8Cieda igPmAkEM 3oxB8CbA yyoazmoQ aVvg3rXv PgDJudor h4Q1XSQl AjXkPnqS HDEBjhcn 20OhALfQ RP7c0Y7i n5DHi8Zl izIXJPJb tD2piYD1 xsjvYpEq bYBaIc59 u2WCiIeJ Zmhb4pp3 4Kqyv7nA ZqeKY78C tIOuRmL− bjV_QiFz cJHXGun1 MTEJ7iZH HR_S_h5v QnqSFhwJ MV6rF−jf 6j−td3e9 NaTGflmb n−_fwJ3F NA6sbjKo bEhgoi9B UQHkttI− mr6FzdZh x92G27z5 2gfcC_JL cavPlK5y 7loDshf9 0MVHfW2l HoSL6qur lG6Fs_2n jSNwJbUM 4XVxe2ZS JvqSaAB2 n8ab9OYF URAGxnRs 5Wvyahxv Dl9ddnrF 5i97hmgz 6x_rWJx2 eFp0−yan amPYyKep 3n7W8DbB wXLXgZ4B AnH4BLvL 4PwGDXVp 5D49c6eq OFuB70JH l371Xe_I 3L9XxBcZ GqQIXeYR lN9Dx1dU 4EFfwFSN I5npvist u4Jqra3S EISm71wF _8pRlvkt SzALU1Wu zhV4dUot AXce8Mqv 7Y5QQcb9 LbAtgp64 LT9O8kMq q5yedHua 5kVMz_dl pAA51KTs i4neTEF4 a34B41H4 cFwx9Dv7 Bp9tjfqR LiYL−pKG hfkLFMY8 mHIbXRR7 OwsTxpu3 BvL37GRW RXLJwI1f bUizln03 XkDL8−sB 9JAVtCku YbbrTpeK woRMfVO0 391RxeU6 ISxAhguZ 5LM4FPZm ab_mmpYg uPprGmbU Onre5CXA tHH8_iY9 d1hLIVgE g8Bdm8Gr qnD30Oar 9C9iTJnv 6KISQRcD 3GehVRKp DHkGHBoL kjn2uYeu 2vNU8agN mD4NzE_g gDSNYogv wLNzIC1_ aRUmtSiH uJvyIdVP Fg−iQ9hB PEUl8x9H 4CWQsxBJ −TZfwO_m G4z7nRHY jlXSV4RN BNsZ5oWh cnnZwWQx HHsEKc5E Me−IauJK 7wiE5OIR −SzoceGR i8E1CtmG Tp8q1YXw yzZd4DPL II4TCmLZ Z9obrw7R xsELOz6g N2PECzYh zHsosoOd DsNvfTU2 dmN1yP6O wlZw199− lHfF1gKb GrMg3kze rFHsXPON Ap5Wh3j3 4aYrD−q2 pzg8pdPh dvtfM46k nSVUm7Aw W2hZfBeF 1aBWBFfE 9YDDXB−H yB−cplfH KuUrLCXP gthdpX9W t8FBEgPn mNaiCxdK flo679ge sAm1jWWA rQAsqaIK eUImzR09 −BuT67LF qFne3uCd bZpX4IfT bZXzGxxw vbKY0KcM bbiywz6P Qz_VtXAp 41wuEIP5 ZhSkGYKG Wrf60mRk _vtvYSu9 YstxaP4i qsGalT−m tR5SyrbT 0VeL2icw JCKWGdCF v_oxwOY4 DHdZ6QGM RMNrTpPJ mLr13VGE kO0qWPJm fxnxSqWo lnqz32zj byQVhvnO GnK5se1Q pkvxHYoI 9JyEEUn3 pdOyHlZ4 t5id3tbW k78pKvTr ILmeVWkq Gsjn6VAg nD1EHDsV Y2xYbxwh BQjugnE1 WeOZ9lIj Eap44Dd_ YdT99_k0 IzEE6iFO H94Xi_94 IQGMOtxT lddgCLy− JhYFcYKh mQwnmdO3 vr6MqIz− lRpWcmyX 7zO8BCSs vFRt6BMZ E7PBsbU0 R8apE_mW DQ_A0Hz0 CAJgq2OJ Q6A6XRaz fedVOdxM BRp07jTR kwh50kLF 3aRDLTuM nf−vYO08 SPeQIJhq mVpXV2aD GiVpuccZ dvgjVTHK 536NTEmx XNIU−SwQ txCyHeR7 B1HDPqqU 4T4Ox82o l7−BMs−M zF4zZdbT zc8i0SmZ quZ1IZ5W VRbmm1Lf NNGAxE−l ifC2_zpO U1_3GDy1 GELYEpjs 0nuF3phV 6JSasvD7 WP6BNWZk UGsSHgUb mTgAke8M _Z4C14JQ U3MHrbq1 ckq66lZu LksRDg5A q6taPM09 O3WdFfTB EQTn18Sw O6sWRZAg To2xlvDb F_VCqtCk fFSyQWl9 kPYjm3qv GIelvT9d XQwZ3aZq wj7G03rg Hc_P−nwd inNIapja XCxAdT3H 9Ktu0I8A Wx7R8lgK IUXjjfTH nvcwirUM 6pTX8QU8 o3zealu9 WNXLENEs qJy3tAaK zoyXincI vgos7zTD CgFwYyfS 4iq4If77 98swZbAk z5ovmjR0 ahCoum_n OBsptgqO TETj7G65 g8aaTcB− 4C7nbsT5 _Rl3bbBD LztdVgYl ydqO92P9 gn4E1STV we8z8p_w Z8MZoAtX k9EtwuHa 1C5qMe4y PM0mP_w5 UHnOGQhc quInhWqV zMjYDorj j3VqVH_U nvDKPtzq eALszdlE p89CoS6x JKkY−ttJ mkJ8x_1b g−7rIgn0 OoodtCIc 4j0BiIeA G7AV4QAy VlmFQFtY lA1zmOOJ scStJktW OOL9eQfW i20vfOrs A2ui61_W 8jshT6TB hlJBBLnq o9mmX6cn b−DYVM_E vTCzlQl7 d5XHXmsJ L_qAglDh hK6aX6YB htJ5TFv0 V6cXZIyc iiPAwv2c oPCVgm5K sfrMxQc8 0QZGv_VT w_i8QJuj YQmH3R5j KQFRdUCi 5XxPISmQ roBvzPtS 4W900Vw− WD5TSU8A esTe9Ksv 91Z29nvJ S4q−58ET dN2j7szg X4KYfbR1 fEtMmRtg ZerjPh57 E9cCOEM8 DI3Dna1P mrFQbqds −NQIdCUF 7mNE0zPx oz4rADpI zBTCSesP 2Ngck85c p_NJjkdR DYFBZBhZ 8scg76vb AXGFKYbd FA8Lon5D 7iI63OK6 sB_KZwjI Ul5eioyv _gQwloQk OKnoa7rh TsSGhB6f Zn9G−8w0 yMOj70Lm bv6dKX2p I0UmaekF 6vtOZp1t xiChpjR_ T4YbNhoE zC_kR8GI iK0QH4UR _8CLFFtW 3UKcKaC1 gH8wi2sb Kml2zdGo znWiWZZH PG−5m2Ft 4AA4WZw8 4−ch5qDx ZFX2iZV4 1zDcimhT 5−S−r5M8 OiUmbIwE 1ZxeMLkQ 3kHhRyRo LQEU5Q−− VdhvDEmS jf5uFV8z hLdG9Qaw K_LNWf7e Ah12Kyd7 _Xg0DCja Vwbbyy6I h9c269BN 3oQYidUg QmoDAgO1 mHad−BBr YoDiXxQU lMw0Ux6Y 3SBtCyb6 0ArOfZ_4 4wU7o4gr VB5eHRV7 qu8x−sTF F6KvnMVi txnoOoRO MsZB4we1 lLgyKjb1 b01zJ0pS JSAAMSM6 SxfTy1w6 dsdYgpPb JGTcfGVy xjzE7GSJ OaEQy7ri Y8O1Al3s xJbccgoI Go5wHszK SRXET5Od −TyWDCn4 uOYeIbmq cw3ZVM5n X4fv0A7C tA−9tA49 ERB3A37u O1Y9qSv4 −UgMIYqn e3IpzVDI yezCO3g1 uiEFbPYG 4NUsDZVP hfW69FOB XxuzZSAI QRsyyV5A crADpl6s uMHNj9wf a1GVWNLF Krpbwcd4 vG18sEBz ioopGl79 EL703V19 r7SIrVOF B_zZtD4c J7c8_rzj NnSmyL7Y IC9_aWEW 52w3R03t KY2p4PsS virxClkO tl5jDhJt 2yzm9SfT fv1KqNU9 URfN5VIC qMrxNR9e H_hk8vgq −H1cQPlO ndcmoRTD VXOBE6HI xZuMtiKw HAW9FcFO QyfnjJ9s IS2OTr33 D76Zgl8B r7aeNbwl fk8CYAU3 ztO2EG22 n5du5NM4 ta4IOZWB JdBqARiB zrr−CWCQ aRorvyhi 8kfqUzfd 7d1XQKWi FPW1qH_g qgYGa0vc b−9s7uI3 qLxJjim7 v9hg86UM 3COO7r6W JngLADjF Ig2kU_dR MIZI__EO fsxaKCnG JEtaeVgi g7BZwBM6 MsdEufWu NiakxRor YYEnsihQ M8Y5qMr6 W4KiLsip HlnazoE6 GLzLejbC m3j_D1hj agVu61l5 50−IawmH 0V−2UX30 2ZxAVvwZ 0aAHrgm0 plz7d0M7 0kdOGs_I vgmX9E1n 37kp55rE M−H_v4rJ rkIa8tW0 ixTl4tc_ 0Rusr7ug 8lMPWRmq D7−y4A5y Btg5Qo9n tGEMJEKJ lGfu9JHi aKmQNSSC 2vAb_lMO xN__sraL XvmX7752 De8mEyBj 2MbSTetd 92qOFxTF iQUoMhwj v_Thh8S3 sPOV3n8J 4KMqKk1K lUAygwnW nR6duB−g AcOGMBT2 S4kKXuHS 9Tspjm2b BamElSx9 dgXyJh0l x1BRLSpj kXDv2QuR P0rmqX_N tqvwzAb4 OcvKc7Z5 ro−5b7oX hMWggC4i P2Lu8lE0 R2TmzuUz N6tm4qGx OiFQOqSw k−Ha5_nc bI5VzcG0 kvC9RDk6 MU_6uP3d l9sLBUea PJjfczvh 4AtkL98z HfdXxzv2 tEpGPr7u ilJr3RRz _1qV3pZi Nr_YM7Gb ZvUh1gMe fEWgsizk 2WemcMky 5XSLls2c qw7k1U72 Fz77ufvB bEn4rIsV iTaMMQOb g6bdIGjn FoLXcpYM uy0VJQp0 C−kuRqty tMoaG3hK KYovQaFB _RwEk5yH 0Wk4s1P5 Wba4cjBD 1Y87ioBI CNyGRviN EnTDToGD t6ht7D8e AsyMwX1m GP60ECoQ NPD2s1rl 0n9ZovdT YQDcageb Aqix5EBc jsgH8eR3 Udp1FgZL wMDrPcx7 hI5bXDmV KJIHhZ1u qvw5x4qc eMxtObe8 IuQ8bm5U FTrkKZC2 7X8tqwAA u3rN_xUk JOZBUE1q v4sOG1Sc cc_3oXEP 3nBzymR6 GtSFiOEZ mV76WGWZ YtMrLtV3 QseUxWUb waqbJRi9 mPpjDCc8 7gp2h0_R 1BsrbFeE mXUWpTpP IXiQqmj0 4wsO15Y_ 8prFaLG4 xapZBrvF cIClGHs1 ypa7GMAt Pu3_1M9j YZW8v_YC xzcP0ec1 lebVYaJD CBvbH9cV biLZ5fm7 7TTUWB4g tHJvKJaz d4qToprM zmyIWO6T Ao9H4Uy4 tnA−wxqE Vkdl2FqE gUO66Gey oVa7prix cph−rnpf PDjNciuS cjwTyqQa K9K9kl_A MygrpwW_ 5ouTjyh4 DpoSq−U8 BrfvQb4G PgyyArEq QiYondMC 3TkFSKpa XcjjXThd 03SBngUP Jrs4Tapg −EC1Xdzt sz6mFPmf CEkx6dkG zVpLbnQY C7Ckf6iI 4WXbdd7g eKA4M3tD qFJFoea9 uaX4PGym Kvs0zwBA hA_hidOf aV0rBPj− fLzSNKwq ase1gCqa bdVPIP−3 ULRbKr6I 1AzAcliY wp3FSuLs 34_−z9Kr SOzeCivW ruSHlDVL Mn7KpMXx Y3QRiTrS F8k9Mqed G_iE0tyH aY2eQONC yQsm8s8N pqlJFNV− 2xNIMsHf 6XS5aXYi wHBtmAT0 gGha−qUE IqkLUO_C Z77U_Mf8 QFXMar5w ZZu4kGK2 7lnM9CJ7 CcWuUoRf xWfAFwdJ wxdAhOmr HIPbMnpX XruuDUdL dVdsqGxZ sSqYiGlz QmcVjvVA 8wcmTFi2 b1ONq7I8 V0APuPpw Oane1OWI Uk9ABRrP 1ee1tXNA ozZia2wg Bp2Cokrb ABJblfFa y8pqtqjH FpZwCOlf sWDwT6v− jENNyMYM SyqYvPkQ bsZZ85WY GUaSRKXN kzf0K3Dw MdHUnnbH X5JSO2aT zgTYN95s 6jsHx8Ob SZcLTTG0 OoAgEZar Jdj5x8Mm JMoqOPVY A3e2p1rV YZW8jUWN Rq0−aQsB i3mHjISi 1kWyN−DD bXlMm6wV brx_d3gN sALHYKeo _7ccRmRt 2hhAKKEY 1XGumlhw Ch83g_A4 qACpwHz2 QhkjlhHP HvBu1i1c OuG−mAx5 ngQOh2va Xi8I_xyu p3rd2hY5 ZlJ22cBv sKkOMMAK omOo2Ef2 ZSeDRgVQ 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Statistics

The next chapter has statistics calculated from earlier data:

monobit: ones: 262438(50.059131%), zeroes: 261818(49.940869%), total: 524256
bitwise monobit data: 1(0: 32913, 1: 32619) 2(0: 32736, 1: 32796) 4(0: 32724, 1: 32808) 8(0: 32872, 1: 32660) 16(0: 32781, 1: 32751) 32(0: 32867, 1: 32665) 64(0: 32966, 1: 32566) 128(0: 32579, 1: 32953)
bitwise monobit total: 524256, lowest: 32566(6.211851%), highest: 32966(6.288149%)
poker2: data: 0:65913 1:65141 2:65471 3:65603
poker2: total: 262128, lowest: 65141(24.850836%), highest: 65913(25.145349%)
poker4: data: 0:8250 1:8184 2:8222 3:8288 4:8080 5:8152 6:8146 7:8129 8:8335 9:8144 10:8081 11:8186 12:8304 13:8154 14:8276 15:8133
poker4: total: 131064, lowest: 8080(6.164927%), highest: 8335(6.359488%)
poker8: data: 0:268 1:270 2:265 3:253 4:261 5:255 6:250 7:266 8:290 9:227 10:220 11:233 12:254 13:291 14:261 15:256 16:270 17:248 18:263 19:252 20:273 21:265 22:263 23:256 24:274 25:268 26:224 27:246 28:283 29:245 30:254 31:243 32:278 33:232 34:277 35:264 36:226 37:249 38:278 39:258 40:252 41:233 42:252 43:232 44:271 45:248 46:262 47:237 48:255 49:240 50:255 51:258 52:247 53:274 54:287 55:254 56:261 57:255 58:243 59:262 60:261 61:250 62:258 63:276 64:232 65:251 66:276 67:272 68:250 69:253 70:263 71:247 72:262 73:226 74:211 75:267 76:243 77:227 78:253 79:261 80:258 81:249 82:283 83:252 84:243 85:264 86:250 87:271 88:255 89:262 90:253 91:242 92:233 93:252 94:255 95:252 96:256 97:258 98:222 99:273 100:258 101:230 102:247 103:255 104:249 105:225 106:270 107:262 108:260 109:269 110:270 111:246 112:264 113:265 114:256 115:260 116:268 117:247 118:254 119:240 120:231 121:223 122:246 123:281 124:251 125:251 126:235 127:257 128:265 129:278 130:251 131:279 132:277 133:270 134:248 135:273 136:249 137:247 138:275 139:249 140:273 141:276 142:263 143:246 144:266 145:247 146:265 147:256 148:247 149:248 150:257 151:272 152:263 153:258 154:279 155:245 156:257 157:259 158:265 159:255 160:259 161:253 162:257 163:237 164:251 165:245 166:269 167:253 168:240 169:250 170:243 171:247 172:259 173:268 174:242 175:269 176:237 177:243 178:267 179:254 180:267 181:261 182:234 183:266 184:293 185:276 186:274 187:235 188:241 189:275 190:263 191:248 192:258 193:273 194:279 195:255 196:259 197:251 198:258 199:228 200:245 201:255 202:289 203:260 204:289 205:239 206:254 207:271 208:241 209:245 210:253 211:264 212:271 213:255 214:231 215:245 216:249 217:243 218:245 219:268 220:254 221:275 222:253 223:239 224:265 225:260 226:231 227:261 228:237 229:258 230:254 231:273 232:252 233:255 234:277 235:257 236:280 237:253 238:264 239:267 240:258 241:245 242:273 243:262 244:251 245:253 246:253 247:243 248:251 249:302 250:238 251:266 252:232 253:245 254:280 255:229
poker8: total: 65532, lowest: 211(0.321980%), highest: 302(0.460844%)
6 bit poker: data: 45:1348 48:1320 49:1365 50:1377 51:1299 52:1394 53:1337 54:1335 55:1393 56:1341 57:1370 65:1336 66:1352 67:1409 68:1391 69:1393 70:1334 71:1354 72:1371 73:1367 74:1409 75:1294 76:1350 77:1373 78:1362 79:1373 80:1308 81:1394 82:1333 83:1381 84:1378 85:1361 86:1337 87:1420 88:1339 89:1410 90:1414 95:1348 97:1369 98:1357 99:1423 100:1399 101:1348 102:1378 103:1407 104:1327 105:1372 106:1319 107:1349 108:1345 109:1400 110:1351 111:1418 112:1415 113:1391 114:1347 115:1359 116:1379 117:1305 118:1340 119:1415 120:1372 121:1357 122:1364
6 bit poker: total: 87376, lowest: 1294(1.480956%), highest: 1423(1.628594%), count: 64
runs: stat: 1:65532 2:32766 3:16383 4:8191 5:4095 6:2047 7:1023 8:511 9:255 10:127 11:63 12:31 13:15 14:7 15:3 16:1 17:0 18:0 19:0 20:0 21:0
runs: zeroes: 1:65083 2:32638 3:16233 4:8357 5:4167 6:2007 7:1061 8:518 9:267 10:132 11:70 12:43 13:19 14:4 15:7 16:2 17:1 18:1 19:0 20:1
runs: ones: 1:64900 2:32694 3:16646 4:8275 5:4061 6:1988 7:1055 8:520 9:236 10:126 11:54 12:23 13:19 14:7 15:3 16:2 17:1 18:0 19:0 20:0 21:1
runs: total: 524256
runs8: any: 1:64960 2:283 3:2
runs8: total: 65532
runs6: any: 1:84660 2:1312 3:28 4:2
runs6: total: 87376
average: total 8362227, count: 65532, average: 127.605247
average16: total 1075808547, count: 32766, average: 32833.075352
entropy: 7.997519
entropy6: 5.999611

Technical

Ressu makes random bits from fluctuations in repeated reading of the clock. Ressu returns an array (buffer) with random bytes. Ressu has a round function that has two phases. First phase rotates left and xors (exclusive or) every byte in the buffer with clock material. Second phase swaps all bytes in the buffer with a random byte in the buffer. In this version round function is repeated 6 * 8 = 48 times.

Rotation (first phase) is done to the left, bit 7 is moved to bit 0, and bits 0-6 are rotated one bit left, bit 6 becomes bit 7, bit 5 becomes bit 6, and so on. The rotation ensures that every bit of the byte is touched by the most active, zero bit of the clock. After eight rotations (eight rounds) we are back where we started, with all bits of the byte, and all bytes of the buffer touched.

Xor (first phase) brings randomness to the buffer and prevents undoing swaps, and thru that undoing generator. Xor is done with the most active clock material, being lowest byte of the microseconds. Most active bit in the clock is bit 0, which is xor:ed with bit 0 of byte in the buffer. Second most active is bit 1, and that is xor:ed with bit 1 of the byte in buffer. This continues for all 8 bits of the lowest byte of microseconds. Xor reverses all bits that meet bit valued 1 in clock material, so about half of the bits are reversed per round.

Swapping (second phase) distributes bytes so that bytes clocked adjacent to each other are moved to different parts of the buffer. On the other hand swaps collect bytes for the next round, in a way that adjacent bytes are from different parts of the buffer. First side of this swap varies from starting of buffer to ending of buffer, position by position. Value in first side of the swap is added to position of second side of the swap. First side of the swap makes sure that every byte in buffer is swapped. Second side of the swap makes sure that swapping is random.

Clock material is a stream of bytes that has period 0-255 in it. After 255 stream reverts back to 0. Same number appears multiple times, so material could be for example: 1, 1, 1, 2, 2, 2, 3, 3, 3. Fluctuations, that are needed for this generator are missing entries, excess entries and missing numbers. Missing entry might be seen as only two ones in this example stream. Excess entries might be four threes in this stream. Missing number might be stream period with no twos. Swapping gets it's randomness from buffer, which gets randomness from clock sequence, which means that one bit change in clock changes rest of the swapping targets for rest of the run. To get random numbers ressu gives, adversary must guess whole clock stream including fluctuations.

Here are typical fluctuations (or variations) in one run of ressu in this machine: 1:4-26 2:3-21 3:2-20 4:3-25 5:2-114 6:4-123 7:1-131 8:5-116 9:3-118 10:5-113 11:1-112 12:3-27 13:7-20 14:7-33 15:29-75 16:28-65 17:27-66 18:37-90 19:44-87 20:48-105 21:63-181 22:85-284 23:86-199 24:449-1889 25:1032-2617 26:111247-114086 27:4706-4893 28:0-1 29:0-1 30:0-1 31:0-1 35:0-1 37:0-1 39:0-1 41:0-1 42:0-1 44:0-1 45:0-1 (varies between runs). So to guess clock material for one ressu run, we need from 4 to 26 chains of length 1, and we need from 3 to 21 chains of length 2, next we need 2 to 20 chains of length 3, and so on. Most often chain seems to be 26 long, we need 111247-114086 pieces of them. After we list all these, we need to just order and renumber them... There is some chains in the end (28, 29, 30, 31, 35, 37,...) where there is either one or none of them.

Changing activity of bits (see Xor) follows 2's powers. Following examples use clock series 0, 1, 2, 3, 4, 5... . Bit 0 changes every other byte (2^0=1). For earlier clock stream, bit changes would be 0, 1, 0, 1, 0, 1... . Period of bit 1 is 2 (2^1=2), so bit changes for each 2 byte numbers, shown as 0, 0, 1, 1, 0, 0, 1, 1... . Bit 2 switches every four numbers (2^2=4), and bit series might be 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, rest of the period lengths are 8, 16, 32, 64 and 128.

There is no whitening or combining of other generators, so earlier material is produced by ressu only. However at the moment there is no clearing of buffer between runs, so all earlier ressu runs gives randomness to this run.

Changes

Added reading instructions.

Please note that port 5001 (ressu first edition) is an http port. It has been that way most of the time to test http version of server.

Original url(s):
ressu: https://moijari.com:5006(third edition)
ressu: https://moijari.com:5005(second edition)
ressu: http://moijari.com:5001(first edition)
terttu: https://moijari.com:5004

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