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

jMEHpWvp RhdrwstX 2xyBHkMS nNj−−_Pv 2oAExN6k UiiWsKif yM_SVdOp _QR2u−bj 0S_9_HDy WNGx1GmZ ZblKDxPM Gv1OQaUe BQIOmsQx 0e1IkhpA EGLtT_1u 2qSU2CX8 Z8Y18PYT 2WhZb76f jIA9NENf 8UMa0xKR A−Op8ayr Qi2FhsiQ dgk0zyG1 mcZiRP0Z v0vAuWEM ldTLJl2J SLQ−vqOP 5BoUIji8 RVKvkAVX _xwRmK−H uB9CbEjx yRrZfKnS huJp2DwU FLsdhFtv 6fLc5Eqc Dr8iTKFz GvRXo5pE −−KUZZJP WVmIgiXK 5k2aLrJv OuPFDDij 6uTOuw7d 46ntsfaj moqN5bNQ TGYE5Jm3 LgKDBWnO JqqW1Mmw YqNOo0zi 8VQynf6b bYTID2Ql AdZ−fXfu iuzQrXtR 7M3jx681 cCu5KDM3 3n8Rj1Jh C9q6Mngw T0ps3hm_ xs8jCB−G ylNj4DRR YunOiFJN wot6urZ6 FY19RZ44 hH_OgrzW vFsgCr95 JVMDoFcu 2MCHldtP q_u−yh9p Z5ENFHCi liSmDWPx ITGR__3z QLWQD7−e OsV5TCsH kLMEu7e9 2AncJEfs UbPlJOs8 wrmpFwja T1TalR3− HYyl1VBE BQJDJIhh 2k5JXHVv iXhsIhQ_ 1ZYzVyLK uADYVe7s e7yxJlOk p9ipzHyT cmM3uApA yl4fojnO 6YVcmOUG gUU86896 2p1Vgtif cFOReaEV Qm6wr−yb SVrZEuyJ _Q5UWcXE UPHHdzRd RVX−pXSD 6T1wq14r xHPo6VtE Qli_6sXe l8vNISBK LtiBm5Mt Tvy7S04n RCMfIlhR zNwI0HP8 kzqpdc5h nI0sk2vA bsElnY0u UQxufIGb XuF5−Y9v hy9FZjsK 3c6lTzNr tAaXTX_1 uxH4jH2Q DtpES7yW wO3oMTJz LSsaKnN1 t3W359vx Bb5IwdvJ 3UpxbldM hnCPx45D C6hoVAZH 0UvcXZu8 6Owos_SZ JPFEBcs9 ofmL_QcW 1SwdG_um 86ZqmBdq 8e9d6eO6 7VIYu7Rc −su7tpLK lRGTh42p zq3g−ApP 7EIhfp6J eTdmQGsu YotAtPNT EiIoZJPX OCCaY_2x 07iu−WO4 bh−QnNgG JSo9i9Bb WooG5m7z bVZXnonZ MTLqbGYu b_19sgMd zViW−nWO btNvFYvH xrX5YD0C g_8xU0af mFGCc3H− VNOCMWFv 67aY3uLZ Se9PSDbM ac−zc07A h6tLpl73 sUUJRHR− XtGju38p wxOdOf4I Z4rvw7B6 As0oyA7n LDTNNgOF fiHqO5sc fsO7lmDj Eb4vAT2n 0GUodIbw vmV84kUP iVtx−Ab2 fbouL5Wz VFHtyad6 66YMO2xM 72fM1NFb zvaImK8p KtRia0cF k0WYa8OI auIuqRYF h6qu6Nqp kU_C3vUY p_XZIlvq ZUc−7yNZ zqRwGLha 9Trb4umM fRTcTwHy I5QXdznp E5pbZ_QT MFNi2yjJ 3−enB9g2 XQI3HokY uLEPFJJc 1KHH5Aer tVwR00De qcZ6gdtD DNVkJ5mg 9sCNbwc5 3I2cm3MO 1go_uzt9 lVD5apL3 t7HhfzAU ftXHPYKK Cce4UMAr EZib9ON5 2C7QuBGR VQzO4mQg lRxHO8ho by9t_ntE 3q0B8AmE OUQgNoJX 15jSHIWT _YyqL2ch Lywv0Gaz 1ouMhjm0 sP5wly7d FHF9s_TX sKKXdtXj 9B3YzblR Gp24l93P W93Fe6ad rne9DsjK 0gLO3xn1 RqLlA2SK C7ZtyqeE VqRmxM74 QoiJqGxX Q6HuWdLG YpXe9saZ snQxy2Kk KqzotZ8O 12TVMT9Q FdFaRv3u 9iMzIYJG VlQMFoTX tK4vHiW0 AB1DgnVD 4YokZUg8 gfSvk5fG −alunuwj LEmS3O5I RrMycU_I hkrtum5b 4v9Wuc6U J_Ae0Kyb 6V6g5XB6 NzRZQgG4 mRH0iia7 oTMhfxdM WTh−z_NG XSPP2QMd s5XUVm−w S1D7Kb2N Yz1e5Qy6 4T7e_b6q xQXmbnaG 8FprdAJM UJWw5NTi Kc_78jL9 iCaAPGen g7vtOowu yL3−jfYl WgjwygrX pDHeBY45 7ZH8f1nC ya0u8bKs D1OT−IuG 3tjqY2r1 cTJlen−H Ynn2dKi3 MtQP7GZF 3eHW5hSz YjV736Em 4C9aSopx qtrKFLLr 2HHif−V_ 7YNvrJfU −a6GDGjH B3_mXXSL t7jMYuJt 62ci4jrT GWAcaeaU EWFo0ckm nbtLldSF 8qnBLOk4 iy7tYYz6 qhVsWKtG fzLNSNKq I0Mp0d8j K7HTlZuD ZXDP6Wgw sQGKHe8R nLCbrRaF KLRU97P3 TKfHHK9A E−jiEBiq QWkf4VV2 NQZevf0y Bwo5Jt9y Ayyi6aVS S7OXsNUS BEYqnxSz 38GEIXzt −6G_an9d uqfubUBz bsIG7UrB USXz68oT −TqWTeH6 hB5IGKxR zCbyrtnz 5LBmV1yW qB499E8k Na7w3C92 zQsGM9xs YxJs8H−I pKivbG28 aF6−jvRL O−jeDmL6 9mNBX8lk tSlimv3X bKtEuttf 9PX6OVNS AmTgFT5C aBcb7TbT atq2IchO KAAXYMeg CxPOSU91 Na5JvXHD 0lYuNNZs qmUvi4WA 5Imwp0Tm n008Txv9 iv2zhbE9 gPkjdSH− x9xa14kk Wgq2p_25 oQrmP20M 4kOqmPVe ptlC1KyK itHXlo1c zcz−nHVc c3kAT6wl sj_e3tSa 9uk6JcUn R_2mAb−y kV9ix03s R−FWYq1v tqXMKY2X K9omppLe bU6mFhLX tNB091P− fXCW4VqV dtXPPdh7 tpjK−RZ9 9kgsNilg sJF97F6D qpbBkSIJ 9aHPr0S− 6JnkoxHb mHRwRBpC qw29J4B3 ncc9FnXV CgX9HSOM AuHf2ju8 9yGeYTxl Rw8CwcF− c−WH97aC E6xe68vv GEbA3fTa av2smZSk 4npP97Tv dHdyB8L− ueDNzUnb 5JZqJFrG buBiSxHq E8NpANkJ veHYAeot bSgSpQjb lBX5OK5s Ji−De0fn zxGHKfLs sa9MhWf0 TSdoJFqw EkUVFaYT XtOuuKwa kirvOaMe T4SJjcE7 LWTRTwDE 00XHAw_J _Ho1zS4B 38pjQo4x Qgmj11Oe xE6pFBSU btERyLbU gLRNtI1Y UWOtmzHd −q1uHSSR hMbne7Kb ARZMMXlr CKs0zQvj C8N5KtXc oPcRI2g7 YI62IWwc PZBfO4_4 deda5wB− 2rcrgK−D g8dcCEhS 6piYk03j hxoZynjj −RyNaJkV whgvK44y i9jLxNQe YsKBvUUL qfvQ60EN iZ4uAuWZ G1snBMbO eRxUNgWz 5g6cOcII zzP08ao0 OuJw2BZ6 DfrPpc_I VzSfjegB 47ocjpm7 OEhAsAW5 XyB6DNDb dBpP0EiL ZnoV33sP _elH4Brs Id4VlnCR KsJRHfLS vL3wUa2s hT2IIEXm 4tYPK6XM WtWVuzfP HR6U3Z6F J5E9zHM− GT−Mtu2Y eJe6do5n zAOwKy1Z 1pFzcQ−W ewibp−a6 51MQPUnG HOpw_wd7 uDcu9wB8 vTuduq4n 37Ze0kI6 ycPmIhW6 JBXP1hpx pBLG6evt NeqhUOK_ rNNpx08l cT8SwsjH −Wd1TYxm yqYWKaAR TM4vaJm6 muLc56J1 _f0TDrJS Worzi9ZY aB72hjyB 0PdikjpL vCbrRkX8 0TI8jyFw dsvPU6oA qldRvzar ZT2yv907 lL1qGju5 0b8T−5Z5 RR3L5X−l ybaAEYiR dZggxuJq xeH2rnLy b4nVhDm5 IMCYHGnD hgkRXkAB IfXtxBrO Lt9oHdAG Xx5XsOc9 br−ppjKW 6wJXYygI liuJI4Nz XeekRNPa _uoyafgy YdZ−jNwe 5FqpHeiV OU5YuH4F tbDkbLqR adxjBeXZ yqvxA6MA nxwpdE7o d3hQgkzQ ju6Hjrk9 oI4c9F−L sh5xVsIW RkdHaodT MFOyxq1d rlbeOnMz epDV_OkD 6FarNFM_ oEPWQl7U CP256i_x 1hvBqmhM kH2l0gSu JK4AtIir MdyoGP4U drgrQvdf TXn1dj3S Yb89FGXw eUM3SRs4 Lf4SEgEW skofDu0s RrzRCmqa yPNYGX7M BjO0NedP ZSqtAuDO z8y−QwPS 1KJtFYl7 CQP−1WYH _v_FdA29 4wJEUaqa TFN8ILKZ rfmGWLBX xVq1kpE7 dXwpNdTN gXZn2qRx q8−7EWR7 Taic2Mrm tehj6gch NxzcUaSL YVbHffkP y2−9Bh86 I6cEoo5F yTrxO5EF JcDPZ9U2 JbhIsG1E YZYQDwxU 52WELTt0 _OqVGL9U v2BREwKc yoPq6u0W hakEolDV 01EivPwK L5SWt4Br K6JTv4_k 3wYHkUTm srN6ryLM rdjHkAWN zXamgeXI nSUvpavO YcwM−SWf spnb0F_q 4iVjMlwc v6ocZ_Z7 mwHzr4lT CRK_SzBs PDl29Vf1 qeOtQmz2 vvHEGrK1 yCzxC3VP scUgcgDc 6nIQ−pUr hmoyaHs9 wG−YUnDA uPaDwpGg ABP8jY1z 5nvEDlWK Us3SGHDY nJH7G6B7 pOCMcWU6 v4g2sN9B vimzTb3_ B1RwJJ0B a0UFZ3Vd M−UExV5_ 0vXqlncT yQ6LI7Wx MU−bvlq0 cAFxRyWf d_5mK9qs SyD2LSib COTYPlw_ hYjbfnEX LSIaLUkJ 6F−orSNW OLICIOkF lQM5Rf9P NjjZcpjU u_8uzCwX yUTrWDa2 Ykxu−USp uTdOcP3Y Yn6DSgqC 0a1OeYSR E4HVGO5_ mbihi0Oa ioS5hTeo HWsIyK2S 0xNNG8NP rmKRSnV_ AFvFJiTK P8pzqor4 oDOnu2qB RWDBe1r− xmi_−eGv flmVM6bQ 73cbKaEW qoDBBbZ_ TN0U8BLB zO6Uzs0F xza−sYkk aE1TlKCV EgCWX0Og 7Zlm082q GGuP−f8n 6YIRQ6vR 1oA6−YO_ GENu−01D yTaBK6MP 7_bKTSiT WUyphtKP Nro151qF PLR15J9X 77nq5uYq B−9H640z eMnwUr54 RArM6Fg1 38mhxund 0Tk6uqn8 xppSBSUb OGzsGubc S4N_xODK tMGTvIa9 Dcugy119 KdyHX_G7 Fz1CGm_m 9h4gUSWv n7VSXCFi Odsqoovu AK7g0bt7 2XrykrFh q5KHz1Vj FCY3nGwJ JYdSEcpt 6r1T9GOa OlpBDtyQ xX7gxC−2 2L5Tgjp_ PgIHyKNN 61MFJnzd aMaa8tVQ dZONw−91 −hZjtVxq y6iOJQoI pKSUm6h7 P−IEVchz NGSH2SvG mo4CFwJD ID4szVKL YzwFAmQN 8fW1_7st it3Insv5 mOGsm5QN lBlvn19w kCDSxC_V AEdA7uQv RWe8MFhM NIN_c12Z 3I−JHOvN 7xyHIcYF sjx3RcnP AYh−XyGU 1mvW7u8N kiFIJHec v−bRSogt vlFzsu7− vWaWSej9 _FGXLO6O cOUDrL4d R9qN3kcY X6lRDkgA 8OELFPrQ oNHUE3AV LwGvmsTO kGqMBxoF NoSvTgNz ZLDjVxdX KaU9LqSc L−zHLB−3 dGKcjuj3 uiJxrycT 2IBXroM5 obcaXL_U 6HlZby62 Ox5SoUX9 NvUjEOST erHTD9aL Qlj_ZOMt k2wUgSht a−Rp4Gv− ed4zTCm1 OlnryLiK of8MBNjn DEDeXdWU t3Z3F5K8 PfVaX36N rlNZDbtQ _96rBByB YWrT7I0B igIgztx_ h5qPbjxu PkSl4lWV 7YFdvVeO RkmrYL9Z _360JNDf Ppe−Eaye GrUyHUM1 5O2BILaF tu8VdX7i i3N4lYQq IeLbBMyo EoYek9Eb Y−uBOdHb syFmRVVg nJk63−kH JnHNtJfO S447L2w_ opntFOg7 ojEweoYM PNLWCh_X yBKU_0JR fEutXuKX szxYtsbe _NzJ3Yno oJHhyFMf bLNg778a LfJj6xHC 5K−rsKN3 5OuGEygX QfEadaoW vUFNwQmx eSq1ki3W sWxL4E6u cJ−lEpnw Podeve4s J_WUW3Gz jyel8bsx ojckwreF zBC8eyJ7 gXCTqnKg L1JMV5eM In1OVp6A lYrbJ5LL ep2HfKku umzaY3Pm ICRRTaVO HboP5ya0 mJNY58F− u180kh−R xLaLRD4e Tpxod_zk 38ub1zbw hDG5d3jf 6o1zN7wn ApnCTKRE YUsVoFBq BtSzHQkH cBahnsEd d7BhG93b V9kZA74t aVnL2Peb j8mQvRHm X6WVtbG1 yNFsbVhd CJb8Y1ws QwI6nvHY 3d7TnLUk −OP2Bfts boz5WTNp 5vsONuHN otagGWZQ gvIIPuwI wQ_TcsTL k3UdUY97 FSqQffTl jl2lIgrF SO3A−Ea5 P_4eGsBj ZN4z41o3 X4pb0Aq− UfSEcH1A nvgHp6jL FcBZe7Np TUnu8aLu bay1Gaol vE6uFX82 7I−Xmc1U 7lZ28TaJ 5XpIxU8U p_eO88mM hMwsbp7A b9TWyOgr caPKcnxD A_RAC8h4 LOJb1QiD NLv−t6nA j1zkHV6N YDQX2ZbE HdP23_ZM TwhSyIt5 LCoDKBf1 xmK−swJN 0SN−TLy− r−8wktMS DaY8UFro Tw−7cl7D P9xowkUF O9wyTgG8 E4veRH_b hBRca8je NNTx0Zuq Wd9gwSNg J4kHXFQd nSxH1IHu Mpv8IJR0 Vlh_slLM M70−zKsZ Cri2eYnl bpw−HwP_ iw3C8dPh LeDiirFz D−Qz7lum UxWaghix dNV7URy5 GQ04Ldc0 I2GeGFy5 Df1f−Vyd L13l3ptx p3−i4w3x o3fbn4DK DIsK8JYO 70FT6vKc 8Zbvw7Nw Ax38_DPe 6ZNwrQGg iQDw1dDR R1Xp2QQa F8K5Cnhs D6wNTWbJ GvaoO0Lm 1GYys6x− 8yrtR277 IdfQms4L VO_gLDSB A−qtJZnC −BwEhdqF adjjQgKA T5p5D−Z3 fyIhKi8V 18_ipi4u GtcBEWLC RSlBHDrJ cxiVXZtw mW1ZSfQM BAkPPjRb osKNsaAB blJHXvX7 aMMC0QN8 5neOMRqT vSUDpyq3 NSIu0SvC ITpwgHax Ne0Dw3y1 SgZw6FNJ LddcA8XN VmHddMzV z_F9BNwK CmwbQuJW i5U8To6− 3s5_FUzr HRmVbIUU OO8Snz7y sDgq0Yas djbQ_ewu sI7TBlWB hkmMvj15 7S_MpAWD pdYY7XHX njIOtJE1 RelmgtCq eEvtOJyl Dv−6e6ZO BymQFSgF niHu1jUA JwqEgHtu mIRRCrLZ JSW8DAJ_ _utE7KFb g70qjLd2 hABpukmI 4RfDmYMJ QgyZ0WqG 7Wrlf9jm p1nz7wRz JM1rPLJe ISvlMfwz 3rxkS5Qh oW8FG1_8 qVxIEuWR E3YfDX7S −zmeJgct L5x−fWNs rhK9xUMB MKhMXyWu zr1RKfko PeejR−o2 q5Bm6r03 h09nEsrJ qast6HKF WHMRxPbj uqif6BRo bGLIFVd0 riMtR2FL SB1pt_BB i−BEiYVk hAmMacvi jR68SgkY SVqQ−SRo iTe4Cr6W MLRa4WDh qHESLbhA lOPv8_wV j1ZO4NZ9 WvsiA37n THhmIOcy pcp66tgf JDbLOBYA xqAKMzUk j2wM2F−g QVP0pGVY Uu4fWz64 dBBwUWSD e2B8s1d3 VZzp79Rm tWdC1JuN 4Vzf3UOE UKsln2JC nwz2LqS8 VYEyaVwD Jjtwi2nD GDjy1V1v VvxrOkU− GogbDzpP V1LR2rHV 4zTo280R wAqveGZv Uaqo5VF6 BaGNdHpr OuSTvk_k z_ZWNWph Mpvad1yS GP14DNCn 0gn_Kn3p h−N4_U6m w9OA1yM2 Pk9QM4Qh DQrYYm6q Wthcn_IZ bI−_9hOm rgcFmdPx IFuZ7Adl v2Wk3−oB 6aLe3JfD uKHf3uxI 25zi4TAv epjEsvVc uiUDLJlM 23sxO4qf 3BBooWei GxKq0bOR eBBdLaZO XmyAx0YH mZTbzzDn mmq16AgH q07aA−g9 xRZZkpxW gUwArBIp 8d4iqNko JVoIGI3N 9trO9hBc HqcdX0ae RZhHI2wy e6djKEN_ gbfjv8k5 M1_OUyqo BG4W93GG rgw0PcCw qESGuH9v 1ZzZcj72 LusAAmPB DxN1h43P PuH0OOub FVg−WWtN asGAXw7p d93N6KIH M7SHqr2B FwV99r9r 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Statistics

The next chapter has statistics calculated from earlier data:

monobit: ones: 261894(49.955365%), zeroes: 262362(50.044635%), total: 524256
bitwise monobit data: 1(0: 32660, 1: 32872) 2(0: 32699, 1: 32833) 4(0: 32838, 1: 32694) 8(0: 32661, 1: 32871) 16(0: 32719, 1: 32813) 32(0: 32765, 1: 32767) 64(0: 32620, 1: 32912) 128(0: 32932, 1: 32600)
bitwise monobit total: 524256, lowest: 32600(6.218336%), highest: 32932(6.281664%)
poker2: data: 0:65460 1:65597 2:65377 3:65694
poker2: total: 262128, lowest: 65377(24.940869%), highest: 65694(25.061802%)
poker4: data: 0:8246 1:8144 2:8236 3:8184 4:8155 5:8220 6:8220 7:8188 8:8213 9:8112 10:8147 11:8176 12:8036 13:8338 14:8126 15:8323
poker4: total: 131064, lowest: 8036(6.131356%), highest: 8338(6.361777%)
poker8: data: 0:279 1:280 2:235 3:249 4:256 5:275 6:269 7:265 8:215 9:235 10:252 11:263 12:246 13:274 14:272 15:254 16:231 17:232 18:258 19:266 20:264 21:251 22:278 23:260 24:245 25:254 26:248 27:263 28:254 29:236 30:237 31:253 32:246 33:269 34:253 35:245 36:233 37:245 38:253 39:280 40:275 41:262 42:267 43:267 44:281 45:245 46:249 47:271 48:244 49:236 50:268 51:273 52:234 53:265 54:253 55:256 56:255 57:248 58:287 59:251 60:269 61:263 62:262 63:232 64:248 65:268 66:254 67:254 68:268 69:235 70:252 71:250 72:283 73:272 74:273 75:266 76:245 77:265 78:243 79:259 80:265 81:266 82:226 83:243 84:271 85:252 86:247 87:272 88:268 89:226 90:258 91:257 92:266 93:286 94:276 95:255 96:288 97:251 98:239 99:266 100:245 101:246 102:270 103:248 104:252 105:261 106:256 107:262 108:269 109:253 110:254 111:286 112:261 113:251 114:282 115:265 116:282 117:240 118:226 119:258 120:244 121:248 122:243 123:252 124:243 125:286 126:262 127:288 128:247 129:273 130:251 131:258 132:266 133:265 134:235 135:262 136:267 137:253 138:272 139:266 140:258 141:267 142:252 143:264 144:242 145:267 146:253 147:241 148:264 149:237 150:248 151:241 152:248 153:271 154:278 155:252 156:240 157:243 158:258 159:244 160:256 161:256 162:265 163:282 164:236 165:228 166:237 167:244 168:256 169:224 170:262 171:270 172:270 173:247 174:246 175:240 176:261 177:262 178:240 179:243 180:227 181:283 182:279 183:220 184:246 185:270 186:245 187:235 188:253 189:253 190:273 191:242 192:264 193:249 194:279 195:232 196:227 197:258 198:230 199:255 200:244 201:273 202:246 203:239 204:234 205:234 206:236 207:257 208:299 209:266 210:263 211:236 212:257 213:264 214:285 215:258 216:247 217:264 218:260 219:245 220:253 221:268 222:264 223:278 224:244 225:231 226:266 227:263 228:239 229:262 230:241 231:228 232:272 233:261 234:233 235:274 236:263 237:243 238:258 239:268 240:252 241:257 242:263 243:272 244:251 245:280 246:271 247:260 248:240 249:263 250:248 251:282 252:235 253:268 254:238 255:276
poker8: total: 65532, lowest: 215(0.328084%), highest: 299(0.456266%)
6 bit poker: data: 45:1409 48:1305 49:1398 50:1353 51:1392 52:1338 53:1314 54:1392 55:1403 56:1371 57:1420 65:1347 66:1351 67:1350 68:1308 69:1384 70:1325 71:1329 72:1379 73:1399 74:1354 75:1378 76:1367 77:1382 78:1358 79:1352 80:1284 81:1375 82:1339 83:1317 84:1383 85:1393 86:1398 87:1342 88:1366 89:1364 90:1368 95:1334 97:1394 98:1443 99:1379 100:1344 101:1364 102:1338 103:1348 104:1340 105:1338 106:1330 107:1340 108:1341 109:1345 110:1396 111:1368 112:1407 113:1362 114:1384 115:1392 116:1371 117:1374 118:1344 119:1416 120:1417 121:1416 122:1364
6 bit poker: total: 87376, lowest: 1284(1.469511%), highest: 1443(1.651483%), 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: 1:65907 2:32590 3:16229 4:8177 5:4040 6:2042 7:1017 8:548 9:258 10:124 11:77 12:34 13:25 14:14 15:2 16:2 17:1 18:0 19:1 20:0 21:1
runs: ones: 1:65560 2:32806 3:16246 4:8202 5:4210 6:2027 7:987 8:492 9:280 10:135 11:71 12:35 13:18 14:12 15:3 16:1 17:2 18:0 19:1
runs: total: 524256
runs8: any: 1:65000 2:266
runs8: total: 65532
runs6: any: 1:84553 2:1378 3:21 4:1
runs6: total: 87376
average: total 8345002, count: 65532, average: 127.342400
average16: total 1073820682, count: 32766, average: 32772.406824
entropy: 7.997403
entropy6: 5.999614

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(bb134a84437a10f4fda3c7897f8da3bfa41bf8add69ec93c5484c6db0ee2b1f8)