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| 001 | ocn972159290 | ||
| 003 | OCoLC | ||
| 005 | 20220908100119.0 | ||
| 006 | m o d | ||
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| 008 | 160405s2017 njua ob 001 0 eng d | ||
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| 020 | _a9781400885626 | ||
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_a10.1515/9781400885626 _2doi |
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| 049 | _aMAIN | ||
| 100 | 1 |
_aHolden, Joshua, _d1970- _eauthor. _964835 |
|
| 245 | 1 | 4 |
_aThe mathematics of secrets : _bcryptography from Caesar ciphers to digital encryption / _cJoshua Holden. |
| 264 | 1 |
_aPrinceton : _bPrinceton University Press, _c[2017] |
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| 300 |
_a1 online resource (xiv, 373 pages) : _billustrations |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 504 | _aIncludes bibliographical references and index. | ||
| 588 | 0 | _aPrint version record. | |
| 520 | _a"The Mathematics of Secrets takes readers on a tour of the mathematics behind cryptography--the science of sending secret messages. Joshua Holden shows how mathematical principles underpin the ways that different codes and ciphers operate, as he focuses on both code making and code breaking. He discusses the majority of ancient and modern ciphers currently known, beginning by looking at substitution ciphers, built by substituting one letter or block of letters for another. Explaining one of the simplest and historically well-known ciphers, the Caesar cipher, Holden establishes the key mathematical idea behind the cipher and discusses how to introduce flexibility and additional notation. He explores polyalphabetic substitution ciphers, transposition ciphers, including one developed by the Spartans, connections between ciphers and computer encryption, stream ciphers, ciphers involving exponentiation, and public-key ciphers, where the methods used to encrypt messages are public knowledge, and yet, intended recipients are still the only ones who are able to read the message. Only basic mathematics up to high school algebra is needed to understand and enjoy the book."--Adapted from jacket flap. | ||
| 505 | 0 | 0 |
_tIntroduction to ciphers and substitution. _tAlice and Bob and Carl and Julius: terminology and Caesar Cipher ; _tThe key to the matter: generalizing the Caesar Cipher ; _tMultiplicative ciphers ; _tAffine ciphers ; _tAttack at dawn: cryptanalysis of sample substitution ciphers ; _tJust to get up that hill: polygraphic substitution ciphers ; _tKnown-plaintext attacks ; _tLooking forward -- _tPolyalphabetic substitution ciphers. _tHomophonic ciphers ; _tCoincidence or conspiracy? ; _tAlberti ciphers ; _tIt's hip to be square: Tabula Recta or Vigen�ere Square ciphers ; _tHow many is many? ; _tDetermining the number of alphabets ; _tSuperman is staying for dinner: superimposition and reduction ; _tProducts of polyalphabetic ciphers ; _tPinwheel machines and rotor machines ; _tLooking forward -- _tTransposition ciphers. _tThis is Sparta! The Scytale ; _tRails and routes: geometric transposition ciphers ; _tPermutations and permutation ciphers ; _tPermutation products ; _tKeyed columnar transposition ciphers ; _tDetermining the width of the rectangle ; _tAnagramming ; _tLooking forward -- _tCiphers and computers. _tBringing home the bacon: polyliteral ciphers and binary numerals ; _tFractionating ciphers ; _tHow to design a digital cipher: SP-networks and feistel networks ; _tThe data encryption standard ; _tThe advanced encryption standard ; _tLooking forward -- _tStream ciphers. _tRunning-key ciphers ; _tOne-time pads ; _tBaby you can drive my car: autokey ciphers ; _tLinear feedback shift registers ; _tAdding nonlinearity to LFSRs ; _tLooking forward -- _tCiphers involving exponentiation. _tEncrypting using exponentiation ; _tFermat's little theorem ; _tDecrypting using exponentiation ; _tThe discrete logarithm problem ; _tComposite moduli ; _tThe Euler Phi function ; _tDecryption with composite moduli ; _tLooking forward -- _tPublic-key ciphers. _tRight out in public: the idea of public-key ciphers ; _tDiffie-Hellman key agreement ; _tAsymmetric-key cryptography ; _tRSA ; _tPriming the pump: primality testing ; _tWhy is RSA a (Good) public-key system? ; _tCryptanalysis of RSA ; _tLooking forward -- _tOther public-key systems. _tThe three-pass protocol ; _tElGamal ; _tElliptic curve cryptography ; _tDigital signatures ; _tLooking forward -- _tThe future of cryptography. _tQuantum computing ; _tPostquantum cryptogaphy ; _tQuantum cryptography ; _tLooking forward. |
| 546 | _aIn English. | ||
| 590 |
_aIEEE _bIEEE Xplore Princeton University Press eBooks Library |
||
| 650 | 0 |
_aCryptography _xMathematics. _917085 |
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| 650 | 0 |
_aCiphers. _929147 |
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| 650 | 0 |
_aComputer security. _93970 |
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| 650 | 1 |
_aCiphers. _929147 |
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| 650 | 6 |
_aCryptographie _xMath�ematiques. _964836 |
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| 650 | 6 |
_aChiffres (Cryptographie) _964837 |
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| 650 | 6 |
_aS�ecurit�e informatique. _964838 |
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| 650 | 7 |
_aciphers (codes) _2aat _964839 |
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| 650 | 7 |
_aCOMPUTERS _xSecurity _xCryptography. _2bisacsh _98524 |
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| 650 | 7 |
_aCiphers. _2fast _0(OCoLC)fst00861549 _929147 |
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_aComputer security. _2fast _0(OCoLC)fst00872484 _93970 |
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_aCryptography _xMathematics. _2fast _0(OCoLC)fst00884558 _917085 |
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_aChiffre _2gnd _964840 |
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_aChiffrierung _2gnd _964841 |
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_aComputersicherheit _2gnd _964842 |
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_aKryptologie _2gnd _964843 |
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| 650 | 7 |
_aMathematik _2gnd _964844 |
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_aElectronic books. _93294 |
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_aElectronic books. _93294 |
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_iPrint version: _z9781400885626 |
| 856 | 4 | 0 | _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452465 |
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