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

K7Yni−sp −eMAgQlq bFu7Wg−Y lOrqy−BS cpN6q3Lg swcLqQx8 vbTyGZF9 Ir0xxXiQ AWgYQNna VC5C4Cwo M6LpZYVB CdyCq6qk nsJAE6Lc 9yxeWb__ RqTzmVFH 6rF_UmMr −dP_6VGe EkFF_eK6 Gh_0egwr 9CHd7−uf OCDP9L42 6BmkGJMU 7_U04s9T FuAvbgFh KoQFWDhk −zHBqiMs ydRWt5gz jSxxQ3Pp SFnqqIxV hP1hnXIu ZXibHaZW BRjEl9Qb CyCglLkX JUQL5vhP W33vcFG3 Td4UBKUE YH0JmlM8 Ef_2acVk ed4iWud_ 2Ky0DZh− ZOznTUkU aKMvu2Vv jkc1buMH HYQ9r02y Ky5OT60p vt_Ayn_2 6j0006bn hLsjc0ch wO5−sK_A awYFzs3Q ppXOz52I vrPXNsqy p1DCpu60 7hJBy5Qh KPo0JI−m u0MIYYZp jmliKKkC laVjKWWn 97apgU7p fbxBfW6h VccM5ufU v5l2Vv9u 3mtAvnrj b13GQLPz ARR2YKTJ xEa95C1R kHQgG−AT 3Y_HI2zR crzK_wPO IGReF0b6 E0fkLO0l YHAjH2iJ QWqaqaCO −_LDq6cd Dz4dwm3d NL2hXtZ2 g4JabWye gKheU2sa Gqlwz0pA 8e324O6G SyUe8nWo 0v5sQP7I HOnRGPB2 aRmmdtk− ocseFW_l A9TEnLrs xwxR3dHw yu7lWt0Z Tptxx9oU 4kztRo3U 9wfzto−v Xl_SHm_2 kCHfdW_o Lyj5LdjC cx1jSEyn G0aWfRFQ qzToWlDe V0OERudE ZrrNtCV3 H5mj2C64 kGgADd2r LXcz7scu pUFIFW5m 8tOp1Vfy ZCxePtoE eswaTCEI kivWri_2 wEGKIW7h go8QSPfq −IE6X3Uz Ot5YFcih 3fU8O_Ml AVC1abPd rC08−cGQ xA4HCd1r −R−OWuSd ePlKgYN− JcZk1oBx IdAdHABX 2kyQKvON G3VlDHko O5bWSDOb VhwU8n8F NK__WWyg ESqCieX9 Xa7Ytb08 r0Pisr5y wX1Hfqg7 GX2fuFWu BrmdWg56 eqmO−Pw1 _hycdOMZ AuCsrquA qdeBT_tl ebdQNUc7 jPmOJ7mF KY9iV6wf 2RHS−Htt G7vSOo3e lr6T4NI_ mrBM7uQW bWxCj8Fo IoGF7VVi −PyyOhqR x61IuvWi bfyojRvc _ZWaYP−h Wwy6riSD LVxu6C1f 4c1sjvDQ J93GaCak GvdINJHA t9AaC4E8 TLjG−−va CsF7Pax5 oWj8Ypp5 Fsl2dVjQ bA−zT−fi 6H_WpAMh Ov0kVU9l O6RoCW_U 2fh3qWIy Df1oXgq5 S1M0lbaI 5bE44XxH F2kgmYAw YQ9aDOVu vye8Zcs8 QaunDmOB FqIBfoLo 7zLUWMIj 7F3_q1lu DYqdQGwt QUMtoLJF VONNvXNL y_WA8CPe pbeYtALC e2d3B51q fFeNNIbQ 4gxeefiA ER3twFKb e9n2csZe AK25UEyv Nlr01EnW rMu3Sstx pVYEaYqj DkjynFG0 rC8ZQ8Sr dnyjrZG8 LU0mN8rd 8Anl6sJm Gfl0kBLW aj4Y−ngK hjBulOaE K−udQwUp leA5e151 yJu3Yh1q bvtWLTXb rHHcGhUM fgHFT9iI 6NxJFFEW Jvkkhlke ramJQu4t gxVDoY6X EFDYyOeC gLO82pWC 6Kis97WI tq0Lvn2o kkRLZRD9 n5EtDXCu FsKwd7Z− JRe2M1R5 LzpE3oZl V9Esz9CZ qJfX7a0P iTHiPQoP CPgOcRYU 5BuFshE4 0Iqk8DRE OqCo8K6z ogJIVwJ3 mzK33fSe xLgpzPH_ −KRsaC14 wJ19rJxv EPFlDcln gmSph−cO xd7Lj4Ji YfmOfY3c RNWB9BDZ C_3vVPu8 1Vpxk−UN −JF3Uwjm CEXXx_NB PZ_QOR4A U1dSBaJR KBWxXy_E jK3FJLbM IkhE36Mf K−eIqm1B 06liBOhO WwBJOhfU 9ZB6UEWt hTM6mbR5 lKk4XoWw SjIcn0Hp 1VxEcZ−h POk6fGTc 3sOlwThV M34oSobc naZHukcX EF_iX10M woxIO78d 0UDFfChL LHmIMQoM VfLYKW42 V9Z_JWa6 s−ErX9_b zM6kAVR9 lkBK−6Gn cd2nCTgL jRQzoBjl GxZKTxq0 x1y37−DM Wr8tJwwN iTLIND−i sOsE8UcI sVO−t−Q1 6i8sjlq7 YSnsliK0 iYkHoFEk CJVgD075 SswWf5Z4 nqHDvt7A 4XLqHgry UW7ktCVw 2HXBEEAK bggS9S3x i6uTi−WS 59vTHD9V −meokqPQ moyxH37r 90VnwEWT QvGSRGq5 kLgABkyN k17yYrQh 4Y4OZt−l fe7yuwpw u5−jsw60 DGv0RtRH LHfRAudB FVcT7vPA nykHstEC _MJZ3h1r bKRTZJxX HN5PWC7p AmMTJ8bO X0VI−hqv LW9u04PA ujds−H3Y zxnU2CSF jmrUDqdK oyb6IWpH x−Cdn7UK lGRzVdG7 DBqR8AgY 15UsAf3w 56B32eER TJmnYJwF cEGdSkNU scwSMZGf UMfQh0dl RpjODEqp 5bMzgyVU uVN6Zpcg 8HBYpkTk xVgiSmDt GAZ5dlN8 7DGD3PmD zX4W2Q6L yUUxrlBc lwoIHRL9 NxzrxDN4 GxAIak0q KiKpqHFg nxrxybEG 7GCPUTZ4 7DPqcI84 9JslFqlG fVNDM8ke 4XUGjisj 9kfy23mP vo2pSrDQ tgfdprWQ ky3GYH2w Q0xfwi2g c5MdGD1J PTPHCEpV SY7ZVY3X iISzngCZ kyUIHhXv 1jAN8oum Yv9X6RWv uneCHu−e _k7HWlS2 XNJY6BZa eF0Idtrq PyRVnYZ_ Dk7CvG−n 0oz0ZTSx rDG_btLD YxGMPwnX CHFKjqgB cnmQCDF4 Us8LdK7e LBBsIHnM VUjhw5oT aJRqQNNy jFRWt6pU oahCYmlW 63FFhe6d RkJvvHfG TwU0LpE_ FTzGlZcM aT4bbNGr BmVT3XGC 3E−FOdLm E7DzGXeJ 2jTB9wQn oVRUfObB xuXTqqq7 oHC8pd27 lfYuE35_ YHsQra1i H9pV9Qlw NTNBfNQI PFHv0e98 Tjdkb1ot 0nOjB_Km HOrb7seH I14X9w2y ZV23bA0j gPwRSW2n sE1EcIR6 BPcYYQmu ZkhMUqP8 ODeum32a 8HBDM1zR fcv5D0yX tAzGWmEm Rk_Nrpc4 AUi4yFc2 6P−dPpnI ktl55Yfx aaHQ6Mr8 3_2WdVTP RFEsDBB− KfehGFqN BZCSxZXh SbqocCXU bAHfPozK dH4M3tTC 4513DI2F B9stKVx6 e81FglZM TIGjj71A fLgT5xrH M4u4KwVI ewoWbm9X 9jvwa4mR 4PMGxLay tR−P843b fHnINq2A WMHTjJ4n lIyIOxm5 hVULrq6_ AT2adDxE VWSIq7oA xSrTUYre rMB_4xIo mvR5FYWC xBRRRfXm TbLRV9Dp frxzEmw7 B3s2lhwm GaPQ36Ax atKwZh_T 3PAK3WVI 3s1Uz_Kd eTAuoGzD 77EMYReR zGl2w1ZZ hO4Xw7ak LFE32Wyr 1f5ZsCYj NGm8QdQY pI7F4HqO k6bdD6Bn h1oFUMWG PQlJWDPh IQlqztmK BriLVbY9 c7r6cE2j Tol_l6Zr Nui4wcC4 qtlo1HCj V0u1y1Lb WJ89_T0R BBCWn4Y7 cl9whu7D 8flvViAZ 8Ftgq−73 VnL6W1Kx lx37Xy9f 7JGlgWSk y5y12dva igPYAsDQ _ZKcUIra cQgapu−l utm0HzHV uTJG9vhj N0RaGYgO aV3−KTbo 9JrcrtcV t2oguq4− −vq3E9Mz rUZGziwQ iOW2oFh1 pKhzEkKu vlG1kqjK 9gfMn4−Z f4HxidTs jQ2MPGzE UAPGIygl BKE1l−cm FmASv−−T BKlYpwNB ORPvjxp_ xZN9IagW Ty−V_gyE o5−l5EBn cEdfyzO9 rg8O89US 4GX40rlf PZPPQuh− ofDdItKG nMXgqGcs D39wYg91 USzOxD6S KO6PVCt9 6vVHuQlq oIvNwJnx 7N1yRmsS qd_2jgKs luX_ACOi 8JPEm7Z6 D4XFrJy5 CMtyojZ6 FSw0KU8K 7Vq5Br27 _akVwMan AZ9yomh3 1wO44Cbj x−WmiMNw 3P_g4pM1 PlQgBDEe −AK92UzT DDJ5Fm33 QVZHCAh4 −ITEHtLQ RLNa814A K68xFt_K gOctXk5d Uebh9CBB n−CG8fY8 mGizct7G qdS8TIBL F2OVEgUG t8hT0gud LwkI7H7i pztcPbTh A9KPcz−t QGz8HUFt _1STAsdp giz3trP0 17kCPXGC 7iFa0uP7 qO6VAP_s N39YJqqL f_0rQlM5 KSj421m− k−6FOMaD nFySwsMB mWb8cPOL ebI3TByw Sa1b2BnV LzJJ_td3 hHKUDuaE U5iHDaVm yqCAMBV1 iVhv6M3Q G6kxdeO− −JMH_lca yOHJdq9q BdiImCEj O5vclRzk F−vloghM F6qDpPg_ rgzLUpY_ S99zaGX5 glApTPA_ w_81Tl_y lcG9OfTe UbPZNq−E BE−KeEEe oUVr8p2B e95ka1T_ fmiXEBnX s3dTFyRe RqRaecyk FpB5−JZC V0lQ5Coi Lbyz0KUp QerXKSg6 xbRZ2eXV vcSMp65i 4bCQjO7u C_NJvdgc SSFvLRYA _vWBHCmS 9NiixN0Z fKULe4WJ −dLQKSBM 0VNFhX−R Sla_x4db M0gGrT_P iXENuBFU okcRsgQO 9vPrjebJ w6kYWdQe SCVgDZiu 2ynFgV81 8hkGdrWn 9Q_q56G5 3−dxLxkd XDr1jixb l−YU6M_A 39Sr4d8r niqWU_d3 qT2FqJQj Nac6iCdU bq4tk3Jx bjH86z5f rmyhWnrB 4jCDk7Ir Zvyy3NBx LtYZJAQm WGX2LBjv rsbR0s2t q_BGdVrg ET7h14JP SgESE8yK 8QFb6SQ5 6pCo−efw R2A9hr3v Z2Ec5boM IlteMd5Z 6ERWgdiG IT4F0l9O aTmBCGFr 228pFEQ1 xQFqVvE9 vaAi7q6Y H1sx0G9t −a1scv0I −zZNJSvH g793FkGd 7r9Uh1KO EJZpnLjh −rgjDJyR qBhbeEmw EBLGpct2 6iSQS7xp 7KGi9WXS xxyJQ0uW TpasI_yg jV1ScVA2 lff0egoK _VUslvuf 2WdYSmVB iiDZnY5U SnuilutF v_j183−X 3xWNSS−t D5di4GF− lwFDAkM1 D−Zg71bQ f0Qbfsz3 jcTx6JEh 5PrC_hIq u_fsptUs SOH9UrhF aFsdOa4− UgYUUNEH qKorth6d wr6S9UBc aVZZy9qZ V76qfc−W QPtZDtTz ohzCsNdg opYyDgW7 ozxT−Qx4 GTLalexw AK8zygHn Y9EyT3b6 c_4NjCJj 1zoBDfVd ZMa4whJY FQq8M42c cJ9hIKAi rbzQAo89 ZhkPtDNe −edZ1Y9q mBSCkNdj aXoSU4Fm sGHIQebz TrMjI6_5 gxN1mt6d filXowCf 5KnBC73f TXHUWUgf Ud2AMau0 nZtppGyJ 9DRDB6H− 9jzWfVk− udcATtA2 −ETUW5PB 1LI1HJTs 6gCtKExl RhSg332f oSvRggcI 3PkeccZt pVjhH9ZG TwxFoy61 4LJRh04R Lp−qzzqg SWYQosLM nAGv1kBk yqOZKsMY uKwTp83O 5TU2AZx7 lp1Kqq5A s9wc992T YRYa_ivy dNrGxGLi vgomwbUZ P_BnfOHG VN9kY1he GZR4x_Qo Dl4GQXwx sEhOC4OW 650BX4vF Nmg5dfeB jVgSZZdw PxsgpyZW AB0KMsfy yu−7qpQc jMrsINNM hGJtD9Mq 11eJeFtq lHzcq_oQ KZu_glri _gD6A3yx ITraLzzd l6tfyGSj c7sQM5aV T7OI4−qN TZ8xLt3T LWO0tRcP ObfoLUYm Yt88rHV7 jzgp_QYM _Oeughkj RaQ4Hugh K9_−_S7T NLzGu0−1 BJFadp92 nFlPooSd vjtUUMDA 4RkYYdBA 1LWD02Rp eJ8rB30Y 5tPfTjEk nprQhi_5 1Z553sZb FkFQJC−J j_M_Urf1 8x7Ea7J1 TbfoDsIB E5lKK_kR 1AY_Go−v dXdtfNU2 N9−−5MVS WuKALtsG Wov6xTvO sdcGbw10 HiXBoiE7 We5knhge PxU−Vps− NNgu1QON oL3N246C xSS_JnlS TYJnm2dN naQbMbNX 4FqyFDDF B3u6f−Zd l9s1XZJ8 8sl8R−zg eezlPeGs S5LH46zZ aldn_Qod Jex1HamQ KLLQfKMJ H4l6z0qy tDcC765b oN9W3hor 9Y94M37C yquJOGaD _fPoM5a0 jiflLCPn blIzOgER 1M7rvc2w t91rDzbs 4MnAWVk0 n0xdfBy7 iwxfgkQs hQlM2MaF vb4SWb2H RmUNGIJs wU7eaCaW −xO5g0RT t6pBcRqc jWhuqPwr G64As7xi Owltwif4 bp74Vq5b _Rlf234S RVBFpk74 ZL2yyBdV g9xeGZ4E WoV_kjy6 oVTGQ3hh hw88bZ5I UxSBfPbX yiaeZkBO PIuQjgtp 925lAcQt ww6jpYeL POTGodAt iugmyzzm rU_nUJCS 1uQXS−sy Yth9ILb8 OiBVX8kP xs6Adojs n2Q5h7LX 42ldqIqS kF1KTHKN Qg4CixVq fv0pvOrI THnyS7sP ZDGowuMc PX2FKUiD U6o4trmA f2JMBrjv HKHphfQf 0−Vtb8Rc h−GAQTLu CNzXo6jl STFeHOOb plqduzDi LAm8IeTJ jQgJYp1W ov7Y9tCk _8XccxlI wl0AzfE1 5DkELXDF EPhjrVuM huIkGNRD GR1U0_NO 8CFJucaq h5zTcPMB OBdpXTmk xnAtMBhP MNcLojzn DrMX03fH d0cXYqgH Y2QBRX−X gVKqMiHa p−5sdbkG Fl2OY4OC SRBNCEX1 awi3SZkH HbCFWRKf NRmnS2Mk d8DRhuQZ hhVoMgmV yhwCaplB fJsimJyo AgAcmm7D DaHyvbR1 u5F4s5kN gerFzZqY 6712p8p_ r5stfpFE u4Aqj6Ba Mz4Y_fLx SsPPJCYA Off9Wvv0 kl2KEdRi bKjThdx8 E7DIXAwA TE_mTObS r−VepsOo _V1m0dB0 ZGzmrWfx gH7uMhBO zpPegpAm KtUwzezL TE0CBthY 2v3DLPnq H1gc_VvI eUsyuCJJ Bly54eX_ Tg_MV4Wb SN84g2dS HQrWRATo qCf9m7gS udMQ0WUE Bs0Tb1Rt mI−z0Eka WdlJRqGU wZZfCwfR RLyrogZo YkPge7Mr xGJGl−oM xKuwm4BK Eed2x8ew g55N−BD5 WfSDd34u yTe_IPq_ _H2Y5O15 nwxvzdja Iwc_kqWp OR0BANqr 98n3xqkD 5v3UJ6OK IiDHxGB3 1U685FSR 0nNfQOIZ −93qec8t pOL−bPI6 pj6bJ84a FoD3P2k6 eMFgPev0 FM5ptzK1 DhvSk3ro eEpoJZlV Vh8wruIJ lrz4aKdc Eoj_CgO1 Xz1wMaPs W2DXqj3Z 9Y1−VrSB GIObxOLy cGPZ8lWz hlddoyaK Fw8Gqa5o Al7N8Zvm s5PfFz−L NccCVXdC Ysf0wXM0 LO1m2tt9 bHkQgRhH ABeHhyK2 OAO2gPW5 GZTW0tHO rnfq5VK0 4s6W−IDq enVZhZ5B −zG5SFAw v6cHv−PV FscNwRpQ r4er5SNR X72mlAkl xXJsT_us dcRoZ_2j JicnTSjP lxzgLTbW 9uMrbz2u JRH9bAs9 B3jBlVin UjiuBMeI zScbQ0l7 chLLcnCG WjoZ2thi 7mzdb4oW G0r7mT4P Nbum_W7A ocMTgdV8 xt1np1Mq Lk0IVe8x 19cw9Jpb jjg3Zrup rVH76OCI aa03ZqDg gUyIr7le zKP_jVTS Zo3aWBBI WgspJ1DP DufGJ_D8 GhsRpMNO 4pu5_XLk leBrHlSD fwJipbGM UJ7jBkYm oVlZtMul 0HGxuDsZ 5zcoKdt_ TCowhOLU U_RVotrv vigx3bNx 4h−YCzCi 3fsTSQFy pmZ1Zivz 90NpyzzK EbQgQCVl RtJNiGzh HWIiR7VD qGgzzmoE ykM76r−V 1XMSiOFB nzO8VIR3 WqVK8ieK RuIzUncL EK5kg3CD ZRyIyfkU 9zJjv5ZF D_198Iji XGp_1F1j 0ff5EWz1 J31xromW laLSormf WFVGx51A q8H1AmDm ccs20fN0 IelYTMlE V0Dgzrgc ifiCXWCA 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Statistics

The next chapter has statistics calculated from earlier data:

monobit: ones: 262249(50.023080%), zeroes: 262007(49.976920%), total: 524256
bitwise monobit data: 1(0: 32785, 1: 32747) 2(0: 32718, 1: 32814) 4(0: 32718, 1: 32814) 8(0: 32913, 1: 32619) 16(0: 32663, 1: 32869) 32(0: 32756, 1: 32776) 64(0: 33113, 1: 32419) 128(0: 32583, 1: 32949)
bitwise monobit total: 524256, lowest: 32419(6.183811%), highest: 33113(6.316189%)
poker2: data: 0:65481 1:65489 2:65798 3:65360
poker2: total: 262128, lowest: 65360(24.934383%), highest: 65798(25.101477%)
poker4: data: 0:8204 1:8387 2:8104 3:8211 4:8068 5:8165 6:8256 7:8101 8:8210 9:8145 10:8317 11:8253 12:8093 13:8202 14:8196 15:8152
poker4: total: 131064, lowest: 8068(6.155771%), highest: 8387(6.399164%)
poker8: data: 0:262 1:259 2:244 3:253 4:271 5:280 6:274 7:257 8:239 9:241 10:271 11:238 12:255 13:243 14:247 15:270 16:251 17:250 18:265 19:237 20:249 21:257 22:269 23:285 24:250 25:268 26:277 27:280 28:263 29:247 30:270 31:253 32:270 33:216 34:276 35:222 36:252 37:246 38:258 39:227 40:278 41:226 42:259 43:234 44:256 45:257 46:265 47:261 48:238 49:245 50:289 51:257 52:268 53:241 54:250 55:261 56:272 57:259 58:280 59:262 60:245 61:267 62:268 63:253 64:246 65:269 66:256 67:242 68:215 69:254 70:250 71:273 72:243 73:230 74:264 75:247 76:229 77:262 78:282 79:264 80:241 81:286 82:273 83:226 84:253 85:230 86:235 87:222 88:253 89:257 90:275 91:265 92:227 93:286 94:248 95:260 96:248 97:263 98:271 99:271 100:247 101:220 102:299 103:238 104:281 105:241 106:267 107:260 108:238 109:246 110:241 111:255 112:217 113:293 114:220 115:253 116:221 117:231 118:241 119:282 120:274 121:246 122:249 123:249 124:253 125:258 126:247 127:267 128:265 129:254 130:246 131:266 132:281 133:298 134:248 135:262 136:256 137:239 138:277 139:241 140:284 141:276 142:238 143:263 144:260 145:279 146:249 147:274 148:265 149:275 150:276 151:234 152:270 153:241 154:273 155:271 156:247 157:270 158:248 159:228 160:276 161:285 162:233 163:269 164:279 165:256 166:298 167:264 168:212 169:245 170:253 171:248 172:255 173:253 174:251 175:252 176:280 177:249 178:263 179:258 180:252 181:259 182:269 183:270 184:269 185:286 186:261 187:264 188:225 189:252 190:268 191:272 192:261 193:307 194:258 195:250 196:242 197:243 198:237 199:256 200:236 201:263 202:238 203:235 204:239 205:262 206:255 207:235 208:279 209:255 210:253 211:246 212:254 213:289 214:253 215:232 216:242 217:243 218:233 219:267 220:259 221:246 222:257 223:239 224:278 225:252 226:239 227:265 228:249 229:254 230:274 231:247 232:213 233:263 234:255 235:256 236:288 237:264 238:260 239:247 240:228 241:254 242:266 243:267 244:244 245:295 246:239 247:290 248:228 249:237 250:256 251:239 252:313 253:266 254:247 255:232
poker8: total: 65532, lowest: 212(0.323506%), highest: 313(0.477629%)
6 bit poker: data: 45:1369 48:1395 49:1376 50:1308 51:1362 52:1354 53:1341 54:1355 55:1382 56:1332 57:1374 65:1439 66:1340 67:1326 68:1364 69:1364 70:1380 71:1401 72:1336 73:1372 74:1409 75:1345 76:1348 77:1418 78:1316 79:1329 80:1407 81:1375 82:1345 83:1324 84:1393 85:1359 86:1364 87:1370 88:1326 89:1344 90:1370 95:1350 97:1322 98:1420 99:1353 100:1372 101:1374 102:1366 103:1353 104:1341 105:1366 106:1339 107:1400 108:1353 109:1363 110:1328 111:1445 112:1418 113:1336 114:1377 115:1402 116:1369 117:1360 118:1353 119:1430 120:1309 121:1392 122:1373
6 bit poker: total: 87376, lowest: 1308(1.496979%), highest: 1445(1.653772%), 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
runs: zeroes: 1:65602 2:32652 3:16256 4:8125 5:4205 6:2056 7:1049 8:509 9:259 10:132 11:65 12:37 13:21 14:5 15:3 16:4 17:0 18:1 19:1
runs: ones: 1:65403 2:32898 3:16244 4:8215 5:4106 6:2093 7:1007 8:538 9:251 10:114 11:56 12:30 13:8 14:10 15:6 16:2 17:2
runs: total: 524256
runs8: any: 1:65020 2:253 3:2
runs8: total: 65532
runs6: any: 1:84618 2:1343 3:24
runs6: total: 87376
average: total 8357607, count: 65532, average: 127.534744
average16: total 1072023297, count: 32766, average: 32717.551639
entropy: 7.996413
entropy6: 5.999627

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

Ressu3 version 0.16 ©, sha256(fb4cfa608fbd4f6b0a01271b4349df6a17e65c036015f92dc41d001d4c392820)