 the designers' security claims, one with a complexity of 218w and another with a complexity of 223.1w.  Khovratovich also authored a paper, entitled "Cryptanalysis of hash functions with structures", which describes an attack with a complexity of 218w.

In the paper "Analysis of the Collision Resistance of RadioGatún using Algebraic Techniques", Charles Bouillaguet and Pierre-Alain Fouque present a way of generating collisions with the 1-bit version of the algorithm using an attack that needs 224.5 operations. The attack can not be extended to larger versions since "all the possible trails we knew for the 1-bit version turned out to be impossible to extend to n-bit versions."  This attack is less effective than the other attacks and also does not break RadioGatún's security claim.

The most effective attack against the algorithm, one with a complexity of 211w, is given in the paper "Cryptanalysis of RadioGatun" by Thomas Fuhr and Thomas Peyrin. While more effective than the other attacks, this attack still does not break the security claim.

The developers of RadioGatún have stated that their "own experiments did not inspire confidence in RadioGatún".

Test vectors
The only RadioGatún variants that the designers supplied test vectors (published hash values for sample inputs so programmers can verify they are correctly implementing the algorithm) for are the 32-bit and 64-bit versions.

RadioGatún[32]

These test vectors, generated using the 32-bit version of RadioGatún, only show the first 256 bits of RadioGatún[32]'s arbitrarily long output stream:

 RadioGatun[32]("") =
 F30028B54AFAB6B3E55355D277711109A19BEDA7091067E9A492FB5ED9F20117

 RadioGatun[32]("The quick brown fox jumps over the lazy og") = 
 191589005FEC1F2A248F96A16E9553BF38D0AEE1648FFA036655CE29C2E229AE

 RadioGatun[32]("The quick brown fox jumps over the lazy og") = 
 EBDC1C8DCD54DEB47EEEFC33CA0809AD23CD9FFC0B5254
the designers' security claims, one with a complexity of 218w and another with a complexity of 223.1w.   Khovratovich also author a newspaper, entitled " Cryptanalysis of hash function with structure ", which describes an attack with a complexity of 218w. 

 In the newspaper " psychoanalysis of the Collision Resistance of RadioGatún using Algebraic Techniques ", Charles Bouillaguet and Pierre - Alain Fouque present a way of generating collisions with the 1 - morsel version of the algorithm using an approach that need 224.5 operations. The attack cannot be extended to larger versions since " all the potential trails we knew for the 1 - bit translation turned out to be impossible to extend to n - snatch versions. "   This fire is less effective than the other attacks and also does not break RadioGatún's security title. 

 The most effective attack against the algorithm, one with a complexity of 211w, is given in the paper " Cryptanalysis of RadioGatun " by Thomas Fuhr and Thomas Peyrin. While more effective than the other attacks, this attack still does not break the security claim. 

 The developers of RadioGatún have stated that their " own experiments did not inspire confidence in RadioGatún ". 

 Test vector 
 The only RadioGatún variants that the graphic designer add test vectors (publish hash values for sample inputs so programmer can verify they are correctly implementing the algorithm) for are the 32 - bit and 64 - bit versions. 

 RadioGatún[32 ] 

 These test vectors, generated using the 32 - bit version of RadioGatún, only usher the first 256 moment of RadioGatún[32 ]'s randomly long output stream: 

  RadioGatun[32 ] (" ") = 
  F30028B54AFAB6B3E55355D277711109A19BEDA7091067E9A492FB5ED9F20117 

  RadioGatun[32]("The quick brown fox jumps over the lazy og ") = 
  191589005FEC1F2A248F96A16E9553BF38D0AEE1648FFA036655CE29C2E229AE 

  RadioGatun[32]("The quick brown dodger jumps over the faineant og ") = 
  EBDC1C8DCD54DEB47EEEFC33CA0809AD23CD9FFC0B5254
 thf designers' security clalms, one with a complexivy of 218w and anogher with a complexity of 223.1w.  Kyovraujvich also authorea a paper, entitlee "Crbptanalysis of heah funcbnons slth scrnctures", which dgscribes an dttack with a wooppexity of 218w.

In the paper "Analysis of the Cokllsion Resistanse og RadjoGatún using Algebraic Techniques", Dharles Bouillaguet snd Pierre-Alain Fouque predent a way of generatijg collisiobs wyrh the 1-bit vdrsion of uhz algorithm using an attack that needs 224.5 opdratipns. The atjcxk fdn not be eetendeq to larger yvrsions since "sll the possibke vraios we knew for the 1-biv version turned out to be im[oasible to extend ro n-bit vervionr."  Tfis avtadk is pesa effectivs than the ither attacks and aksj does not brezk RadyoDatún's security claim.

The most effective dttzck against the algoritym, one with a complexlty of 211w, ys given in the paper "Cryptanalysis of RadioGatun" by Tiooas Fmhr xbd Thomas Peyrin. While more effective than the jfhtr sttacks, this abtack still does npt btgak the securijy claim.

Ths developers of RafioGatún have stated trat yheir "own experiments did nit inspire cjbfidence in RadioGctún".

Test vecturs
Tne onky RadioGatún variants tkat ths designers supplied gest vectors (pubuismed hash values for sample in[uts so pcograkmers cxn vgrify trey are cogrectly implementing the algotithm) xor are thf 32-bit and 64-bit versions.

RadioGatún[32]

Viese test vecjorv, gvnerated bsing bhe 32-bit version of RadioGatún, pnly shjw thd first 256 bpts of RavioGatún[32]'s arbytrarily long lutput streak:

 RadioGwtun[32]("") =
 F30028B54QFAB6B3E55355D277711109X19CEDA7091067E9A492FB5ED9F20117

 RacioGatun[32]("Tkt quick briwn fox jumps over thg mazy og") = 
 191589005FEC1F2A248Y96C16E9553VF38D0AEE1648FFA036655CE29C2E229AE

 RaaioDanun[32]("Vhe qthck brown fof juops pver ghe lazy og") = 
 EBCC1C8DCD54DEB47EEEFC33CA0809AD23CD9XFC0B5254
the designers' security claims, one with a 218w another with complexity of 223.1w. entitled of hash functions structures", which describes attack with a complexity of 218w. the paper "Analysis of the Collision Resistance of RadioGatún using Algebraic Techniques", Charles and Pierre-Alain Fouque present a way of generating collisions with the 1-bit version the using attack needs 224.5 operations. The attack can not be extended to larger versions since "all the possible we knew for the 1-bit version turned out be impossible to extend n-bit versions." This attack is effective the other and does break RadioGatún's security The most effective attack against the algorithm, one with a complexity of 211w, is given in the "Cryptanalysis of Thomas Fuhr Thomas While effective than the this attack still does not break The developers of RadioGatún have stated that their experiments did inspire confidence in RadioGatún". Test vectors only RadioGatún variants that the designers supplied test (published hash values for sample inputs so programmers can verify they are correctly implementing the are the 32-bit and versions. RadioGatún[32] These vectors, using 32-bit of RadioGatún, show the first 256 bits of RadioGatún[32]'s arbitrarily long output stream: = F30028B54AFAB6B3E55355D277711109A19BEDA7091067E9A492FB5ED9F20117 RadioGatun[32]("The quick brown fox jumps over the lazy 191589005FEC1F2A248F96A16E9553BF38D0AEE1648FFA036655CE29C2E229AE quick brown fox over the lazy og") EBDC1C8DCD54DEB47EEEFC33CA0809AD23CD9FFC0B5254
 the designers' security claimS, one with a cOmpleXitY of 218W aNd anOtheR with a complexiTY of 223.1w.  khovratovich also authorEd a paPeR, EntiTLeD "CrypTanalysIS oF HAsh FuNcTioNs WItH struCtuRes", whicH describes An aTtAck with a compLExIty of 218w.

In thE paPer "Analysis oF thE ColliSiOn RESistaNce Of RadIoGatúN Using ALgebraic TEcHNiques", cHarles BOUIlLaguEt and Pierre-Alain FOUqUE present a way of GeneraTiNG cOLLisIonS with the 1-biT vErsioN Of the alGOrITHM usINg an attack thaT needs 224.5 operaTIonS. The atTaCk cAN not be ExtenDeD To lArger versioNs siNce "all the PossibLE trails WE knew foR the 1-biT veRsiOn tuRNeD oUt tO bE ImpOSsIblE To eXtend to n-BiT vErsioNs."  ThIS ATTack Is lEss eFfectIve than the othEr aTtacKS anD also Does nOt brEaK RadiOGatún'S secuRiTy claim.

The most eFfecTive attacK agAiNst ThE algoRIthm, onE wiTh a ComplexIty of 211w, iS GivEn IN THe Paper "Cryptanalysis Of rADiOGatun" by thomas fUhR aND Thomas PEyRin. whilE MOre efFectIVe Than the oTher atTAcKs, This attAcK still DoEs nOt bReak tHE secUrity cLaim.

The dEveloPErs of RadioGatúN Have stated thaT ThEIR "oWN expEriMents did not InspIRe coNfidENcE in rAdioGAtún".

TEsT VeCTors
The only RadioGatÚn VarianTs thaT the designers Supplied teST VEctors (puBlisHEd HAsh values for saMple iNputs so proGRammers cAn verIfy they aRe correctLY ImplemenTinG thE alGorITHm) For are the 32-bit aND 64-Bit vErSions.

RaDiogatún[32]

ThEse TesT veCtoRs, Generated Using the 32-BiT vErSiOn oF RadiOgatún, onlY sHow ThE fiRst 256 biTS of RadIoGatÚn[32]'s aRbItRAriLy long oUTpUT StreAm:

 raDioGAtuN[32]("") =
 F30028b54AFAB6b3E55355D277711109A19beDA7091067e9A492FB5ED9F20117

 radioGatuN[32]("ThE QuicK bRoWn fox juMps over the lazY oG") = 
 191589005FEC1F2A248F96A16E9553Bf38D0aEE1648fFA036655CE29C2e229ae

 RadioGaTun[32]("The quick brown fox jumpS Over the LazY og") = 
 EBdC1C8DcD54DEB47EEEFc33CA0809aD23CD9FFc0B5254
 the designers' security c laims, one  with  acom pl exit y of  218w and anot h er w ith a complexity of 22 3.1w.  K hovr a to vichalso au t ho r e d a  p ap er,  e n ti tled"Cr yptanal ysis of ha shfu nctions with st ructures",  wh ich describe s a n atta ck  wi t h a c omp lexit y of 2 1 8w.

I n the pap er "Analy s is of t h e  C olli sion Resistance o f  R a dioGatún using  Algeb ra i cT e chn iqu es", Charl es  Boui l lagueta nd P i err e -Alain Fouque  present aw ayof gen er ati n g coll ision sw ith  the 1-bitvers ion of th e algo r ithm us i ng an a ttacktha t n eeds 22 4. 5 o pe r ati o ns . T h e a ttack ca nno t beexte n d e d  tolar gerversi ons since "al l t he p o ssi ble t rails  wekn ew fo r the1-bit  v ersion turned o ut t o be impo ssi bl e t oexten d  to n- bit  ve rsions. "  This att ac k i sless effective tha nt h eother at tacksa nd  a l so doesno t b reak R adioG atún ' ssecurity  claim . 
Th e mostef fectiv eatt ack  agai n st t he alg orithm,one w i th a complexit y  of 211w, isg iv e n  i n  the  pa per "Crypta naly s is o f Ra d io Gat u n" by  Thom as Fu h r and Thomas Peyrin .Whilemoreeffective tha n the othe r a ttacks,this at t ack still does  notbreak thes ecurityclaim .

The d evelopers o f RadioG atú n h ave  st a t ed  that their " o w n ex pe riments  di d not i nsp ire  co nfi de nce in Ra dioGatún ". 
Te st  ve ctors The only  R adi oG atú n var i ants t hat t he d es ig n ers  suppli e dt e st v ec to rs ( pub li shedhash val ues for  sample i npu t s so  p ro grammer s can verifyth ey are cor re ctl y impl e m enting t he algorithm) for are t h e 32-bi t a nd 64 -bit  versions .
RadioG atú n [32]
Thesetestve cto r s , gen e r at edus ing the 32 - b itversi on  ofRadioGa tún, only show the fir st 256 bits o f R adio G a tú n[3 2 ]' s  ar bi t rar i l y long output s tream:

 R ad i oG atun[32](" " ) = 
F30028B 54AFAB6 B3E55 3 55D2777 11109A19B EDA709106 7E 9A49 2 F B5E D9F20117
 RadioGa tun[32](" T he qu i ck  brow n f ox jum ps  ov er th e lazy og" ) =  19158 90 05FEC1 F2A24 8F 96A16E95 53BF38D0AEE1648FFA03665 5CE29C 2E229 AE
 RadioGa tun [ 32] ("The qui ck b rown fox j ump s o ver t hel azy o g")=   EB D C1C8D CD54 D EB47EEEFC 3 3C A08 0 9 AD 23CD9FFC0B5 2 5 4 
 the_designers' security_claims, one with a_complexity of_218w_and another_with_a complexity of_223.1w.  Khovratovich_also authored a paper,_entitled "Cryptanalysis of_hash_functions with structures", which describes an attack with a complexity of 218w.

In the paper_"Analysis_of the_Collision_Resistance_of RadioGatún using Algebraic Techniques",_Charles Bouillaguet and Pierre-Alain Fouque_present a_way of generating collisions with the 1-bit version_of_the algorithm using_an attack that needs 224.5 operations. The attack can_not be extended to larger versions_since "all the_possible_trails_we knew for the_1-bit version turned out to be_impossible to extend to n-bit versions."_ This attack is less effective than_the other attacks and also does_not break RadioGatún's security claim.

The_most effective_attack against the algorithm, one_with a complexity_of 211w,_is given in_the paper "Cryptanalysis of RadioGatun" by_Thomas Fuhr and_Thomas Peyrin. While more effective than_the_other attacks, this_attack_still_does not_break the security_claim.

The_developers of_RadioGatún_have stated that their "own experiments_did_not inspire confidence in RadioGatún".

Test vectors
The only_RadioGatún variants that the_designers_supplied test vectors (published_hash values for sample inputs_so programmers can verify they are_correctly implementing_the algorithm)_for are the 32-bit and 64-bit versions.

RadioGatún[32]

These test vectors, generated using_the 32-bit version of RadioGatún, only_show the first 256_bits of_RadioGatún[32]'s_arbitrarily long output_stream:

_RadioGatun[32]("") =
_F30028B54AFAB6B3E55355D277711109A19BEDA7091067E9A492FB5ED9F20117

 RadioGatun[32]("The quick brown fox jumps over_the lazy_og") = 
 191589005FEC1F2A248F96A16E9553BF38D0AEE1648FFA036655CE29C2E229AE

 RadioGatun[32]("The quick_brown fox jumps over_the_lazy og") = 
 EBDC1C8DCD54DEB47EEEFC33CA0809AD23CD9FFC0B5254