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Want a FIPS 140-2 RNG? Look at the universe. The cosmic background radiation bathes Earth in enough random numbers to encrypt everything forever. Using the cosmic background radiation – the "echo of the Big Bang" – as a random number generation isn't a new idea, but a couple of scientists have run the slide-rule over measurements of the CMB power spectrum and reckon it offers a random number space big enough to beat any current computer.
Not in terms of protecting messages against any current decryption possibility: the CMB's power spectrum offers a key space "too large for the encryption/decryption capacities of present computer systems". A straightforward terrestrial radio telescope, this Arxiv paper states, should be good enough to make "astrophysical entropy sources accessible on comparatively modest budgets".
http://www.theregister.co.uk/2015/11/12/big_bang_left_us_with_a_perfect_random_number_generator/
(Score: 2) by melikamp on Friday November 13 2015, @10:47PM
Well OK I meant the engine would fit into 2 lines. Here's a normal number printed by a 5th degree polynomial starting with p(x 0) and with coefficients ai :
(loop for x from x0 do (write (+ (* a5 (expt x 5)) (* a4 x x x x) (* a3 x x x) (* a2 x x) (* a1 x) a0)))
A generic state consisting of x and the coefficients would of course be many KiB, but of course it's not impossible to construct very large (non-generic) numbers quickly:
(expt 17 5000)
17563331210845272142715491059381637567604560918823614776217252092631310179462678237730295937118566818201212447476826630660424891738468080780674729268220570632721550396176908797434787464016576294400172859773834068356513128467057578874814386623155115968649852916459940084623998127861527050393779348858080665872120280428180705463595111290750492960544510953914350605942155886255644553802073180699963309304230537539066153539754818618835972267754217980888581658873193612721864363914036580156414709048386745445361855362477582849853200402543516544874182596491719372976416592270119288821679406564095042351284325641176328177794532099875472972188455554171839717635522570301038323802443580062606398713461446206540373266023134207283729120644347611660367019965348998767984886247884693504341719603743116430979940007979050860647881325168298000635222109675028697534810912123093352599463696293354139508127399346986450073411029724177042094883361417141732923012259831509010976169065928003101204486524387440711482266414725759262343265411659944930464628813777875720333868212840310531216678290751838816728543975545384736375116650263137967059679843084593703953544762350959046803032313706694685679693537919791264421702959411586085407493577134558518470437330184974856661319368913876367914956145292323891931963877266233121969242719912539573109677170716849739160428723611574251622398735793710383963445140700123604044720354713699598569489246099172345706938370244522896909382214510948690678902663991832049024575559968399809558512729724103119006120402287527088768625283902021021171216915465799073602671022633985042069839451238689437986514615086301926416685689376351786035016955450304522541796078514663738606419027951944393589469741033789163857396652250435640754746047544406638841488435242017675282840963029905059020607177142612764332200196000258180317690242099984483983117458733952135819879580392438575463186010052003982806606430347113930458491104604598933900835103352154053253056927083904473900533052671891465779071802728082159229661343048175800273228443046015386879709172827635290826031707813391531200944942583599782243245461660800685345335040196096606464675644732001911736038941139143996554198242606874774154098981398605981455521384998991060780391928016425790904186560229490692092168114658993226174879076523652331486123899265879642626983610753539026824753691876684597681606111719950757478489807820901670895302172549181196324272959256027999995797231218324748766807398005196084237725103925391333503632694829489753257529507640932455242429067088538887685451824274683005210474166045864979680299428817896955078594442694221276175976162958367074276572394732137361753540611124550733303039877975476944157451487772918567500793201521024238274672880698206474947045352945412737256900755056412138316164998448723498270696528964394124265269827688869209141416388406717263347964009626790981256716407230681047354047215701715338815616831824910009214456390298795426331218900704008124998186316504760681530189409580174124216426397797798385427225299400064447129368608593925654084964290099975112130797839874546243759018348387490221539333849692641032443008603070863467420072220497945805919545080416770438878396630704778414695156800653352474995773967467301880164983759312530551958652303828649782481682357425299631598858625748951332925336543286611532070711517229080554731247355518148079682355484493169688217228567119161468077866216930068247817105939078231296113403733114688160506722912743840295430499161958532185579438818038833503796615894029793763668145491489452601829582226923965426163012901624102563920785114484389894188814256509350333617789665660397912723901134038825777771579259351553844269116573667457925263190415581569051036489586852326697722603793707688326455457010632716898878836280802300677836767819826002668754304803143934332904991238640744877440335436448195023068765973786134941640938348835540145749551612607881405494044419903925292338947303872432806110769029299448021944667667272042051507957277701256633894040021578057133966824164978137439680992462088267147733796821743263089627847193354186378419348805796687179391426263514216976799513600838791667500425167814470736585184350212566826848049372147591721248412223662126245152231561895377696976241072567914397485178615529946620625418273398064261346928355584988237539020845815957752905431198528274102711921321540043579796203599792836450721835855423473256906165322294021044872910053450172282326311022332091213339511672659512434921937092771693235912697914424864967172812397070698251067028935681710636977157688971507771728630972762568408828604387592582957656950199070721251250571677395517524418833369316636742606010608226833828649275954457665488274007374758953115784738726680090711894855888002114434095899184611033907552216616737996512398445839809032528240574506743944150885655582650483258552030588897661277285353535905904326912797910415426728684363651391339231027709900439298156676153386295977679629771266680708335988906361416609053021803248769058453544981466037412528424584378405543538849502135669863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(Score: 2) by JoeMerchant on Saturday November 14 2015, @05:12AM
So, I like plotting series of recursive polynomial numbers (floating point) vs themselves, Poincaire style - you might like the results:
http://mangocats.com [mangocats.com]
🌻🌻 [google.com]
(Score: 2) by FatPhil on Sunday November 15 2015, @03:45PM
Great minds discuss ideas; average minds discuss events; small minds discuss people; the smallest discuss themselves