LolcipherSubmissiontechnion@lolware.
nethttps://lolware.
net(ituseshttpssoit'ssecure)github.
com/technion/lolcipherIntroductionThisdocumentlaysoutasubmissiontotheSnakeOilCompetition(http://snakeoil.
cr.
yp.
to/).
Thedesignofthiscompetitionwasfoundtobehighlyappropriateforthelolcipheralgorithm,whichhasbeeninproductioninclosed,airgappedsystemsforseveralyears.
Astherehasnotbeenonecaseofcompromise,thelolcipheriscertifiedasunbreakablepriortoitssubmissiontothiscompetition.
LolcipherisontheInternet,andthereforedemonstratedtobeinthepublicdomain.
ComplexityRequirementOneoftheissuesidentifiedwiththeAEScipher,andpresumablysimilarblockciphers,iswhatIwillrefertoasthe"inoutcomplexity".
AdemonstrationofthisissuecanbeseenintheNISTpublishedAEStestvectors.
Key2b7e151628aed2a6abf7158809cf4f3cBlock#1Plaintext6bc1bee22e409f96e93d7e117393172aInputBlock6bc1bee22e409f96e93d7e117393172aOutputBlock3ad77bb40d7a3660a89ecaf32466ef97Anpowerfulapplicationwascreatedtoperformamathematicalfunctionagainstthesevectors.
Itmaybeseenbelow.
[technion@goobyplzlolcipher]$morelengths.
c#include#include#includeintmain(){printf("Lengthofinputis%lu\n",strlen("6bc1bee22e409f96e93d7e117393172a"));printf("Lengthofoutputis%lu\n",strlen("3ad77bb40d7a3660a89ecaf32466ef97"));exit(0);}[technion@goobyplzlolcipher]$gcc-Wall-O9-fomit-frame-pointer-fstack-protectorlengths.
c-olengths[technion@goobyplzlolcipher]$.
/lengthsLengthofinputis32Lengthofoutputis32Foreachbyteofinput,itiscomputedthattheprocessorhasa"complexity"ofeightbitstoprocess.
Thisisthesamefortheoutput.
ThistestapplicationthereforedemonstratesthatdatabeingfedintotheAESalgorithmhasexactlythesamemathematicalcomplexityasthedatagoingout.
Itmustsurelythereforebequestionedwhetherthisdataisaccuratelybeingencrypted.
WhetherthisspecifictestvectordemonstratesaNISTintroducedbackdoornotpresentintheoriginalspecificationhasnotbeenexamined.
RelatedKeyAttackItismysuppositionthatarelatedkeyattackexistsagainstAES.
Considerthefollowinginput,again,usingaNISTtestvector:InputBlockae2d8a571e03ac9c9eb76fac45af8e51Asademonstrationofthisattack,thefollowingkeyhasbeencreated:Key2b7e151628aed2a6abf7158809cf4f3cWhenthegiveninputblockisencryptedusingthegivenkey,thebelowoutputisseen:OutputBlockf5d3d58503b9699de785895a96fdbaafSubsequently,thebelowkey,whichcanclearlybeseentoberelatedtotheearlierkey,ischosen:Key2b7e151628aed2a6abf7158809cf4f3cWhenusingthiskey,whichisrelatedtothefirst,thebelowoutputisseen:OutputBlockf5d3d58503b9699de785895a96fdbaafAshasbeendemonstrated,relatedkeyscanbeconfiguredtoproduceidenticaloutput.
ThisisaseriousweaknessinAES.
ThepenguintestAcommontestofanyencryptionsystemdemonstratesapictureofapenguin.
Thecommonpicturecanbeseenbelowontheleft,withtheencryptedformontheright.
Ithaswidelybeenpositedthat,duetotheirreversibledamagedonetothepenguin,heencryptionshouldbeconsideredinsecure.
IconsideritafalseassumptionthatthisdamageisirreversibleandciteseveralsourceswhichIwillnotlinktowhichdemonstrate:Thepenguinsweightgainmaybeaddressedviaanappearanceontelevision's"Thebiggestloser"Thoseeyescanbefixedwithglasses.
Maybe.
Lolcipheraddressesthoseissueswithawellformedstructuredetailedbelow.
Thekeylengthinlolcipherise^78bit.
Trustmeitis.
The"blocksplit"functionsitsatitscore.
Ittakestwoxeightbitinputs.
ACimplementationdefinesitwell:voidblocksplit(intin,intinb){unsignedinta,b,c,d,e,f;printf("Inputwas%d%d\n",in,inb);a=rand()&0xF;b=in/a;c=in-(a*b);printf("Blockis%d,%d,%d\n",a,b,c);d=rand()&0xF;e=inb/d;f=inb-(d*e);printf("Blockis%d,%d,%d\n",d,e,f);intouta,outb,outc;outa=a>4)*(a&0xF)+(b>>4);outb=(b&0xF)*(c>>4)+(c&0xF);printf("Combinedblockis%u,%u\n",outa,outb);}ProofofsecurityAproofregardingthecomplexityattackmaybeseenhere.
Inputtotheblockcombinefunctionis16bitinsize.
Outputis24bitinsize.
This50%increaseincomplexityrepresentsa50%increaseinsecurityofthesplitfunction.
RelatedkeyattackThebelowoutputsmaybeseenacrossthesameinputpresentedmultipletimes:[technion@goobyplzlolcipher]$.
/a.
outInputwas6142Outputsare62,17,672Combinedblockis61,42[technion@goobyplzlolcipher]$[technion@goobyplzlolcipher]$.
/a.
outInputwas6142Outputsare166,26,66Combinedblockis61,42[technion@goobyplzlolcipher]$.
/a.
outInputwas6142Outputsare120,92,54Combinedblockis61,42Althoughtheinputisthesame,itcanbeseenthattheencryptedblockofthreeisdifferenteachcall.
Thisdoesnotpreventthecombinefunctionfrombeingabletoresassembleasrequired.
Therefore,evenforrelatedkeys,statisticalcharacteristicsdonotexist.
ThepenguintestTheresultsofthepenguintestmaybeseenbelow.
Ithasbeenconfirmedbyanunnamed,prominentmedicaldoctor,thattheconversionfrompenguintoduckcannotbereversed.
Itisthereforepositedthat,byusingthelolciphertechnique,allexistingattacks,includingrelatedkey,complexitybased,andpenguinbasedmaybeavoided.
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