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ROT13

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ROT13 is a simple letter substitution cipher that replaces a letter with the 13th letter after it in the Latin alphabet.

ROT13 is a special case of the Caesar cipher which was developed in ancient Rome, used by Julius Caesar in the 1st century BC[1]. It is an early entry on the Timeline of cryptography.

An intercepted ROT13 encrypted message, could be decrypted by anyone spending enough time looking for patterns.

ROT13 can be referred by "Rotate13", "rotate by 13 places", hyphenated "ROT-13" or sometimes by its autonym "EBG13".

Description

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Applying ROT13 to a piece of text requires examining its alphabetic characters and replacing each one by the letter 13 places further along in the alphabet, wrapping back to the beginning if necessary.[2]

A becomes N, B becomes O, and so on up to M, which becomes Z, then the sequence continues at the beginning of the alphabet: N becomes A, O becomes B, and so on to Z, which becomes M. (Only those letters which occur in the Latin script, are replaced. For example numbers, symbols, punctuation or Whitespace character are left unchanged.)

Because there are 26 letters in the English alphabet and 26 = 2 × 13, the ROT13 function is its own inverse:[2]

for any basic Latin-alphabet text x.

In other words, two successive applications of ROT13 restore the original text (in mathematics, this is sometimes called an involution; in cryptography, a reciprocal cipher).

The transformation can be done using a lookup table, such as the following:

Input ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz
Output NOPQRSTUVWXYZABCDEFGHIJKLMnopqrstuvwxyzabcdefghijklm

For example, in the following joke, the punchline has been obscured by ROT13:

Why did the chicken cross the road?
Gb trg gb gur bgure fvqr!

Transforming the entire text via ROT13 form, the answer to the joke is revealed:

Jul qvq gur puvpxra pebff gur ebnq?
To get to the other side!

A second application of ROT13 would restore the original.

Usage

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ROT13 is not intended to be used where secrecy is of any concern—the use of a constant shift means that the encryption effectively has no key, and decryption requires no more knowledge than the fact that ROT13 is in use. Even without this knowledge, the algorithm is easily broken through frequency analysis.[2]

In the early 80's, ROT13 was supposedly used on Usenet newsgroup servers.[3] Email addresses were encoded with ROT13 to hide them from less sophisticated spam bots[4][dubiousdiscuss]. Some say it was also used to hide potentially offensive jokes, or to obscure an answer to a puzzle or other spoiler.[unreliable source?]

A shift of thirteen would be preferred over other values, such as three as in the original Caesar cipher, because thirteen is the value for which encoding and decoding are equivalent, thereby allowing the convenience of a single command for both.

Johann Ernst Elias Bessler, an 18th-century clockmaker and constructor of perpetual motion machines, pointed out that ROT13 encodes his surname as Orffyre. He used its latinised form, Orffyreus, as his pseudonym.[5]

Net culture

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Because of its utter unsuitability for real secrecy, ROT13 has become a catchphrase to refer to any conspicuously weak encryption scheme; a critic might claim that "56-bit DES is little better than ROT13 these days". In a play on real terms like "double DES" several terms cropped up with humorous intent:

  • Double ROT13: applying ROT13 to an already ROT13-encrypted text restores the original plaintext.
  • ROT26: equivalent to no encryption at all.
  • 2ROT13 was included in a spoof academic paper entitled "On the 2ROT13 Encryption Algorithm".[6]
  • triple-ROT13: used jokingly in analogy with 3DES, it is equivalent to regular ROT13.

ROT13 jokes were popular on many newsgroup servers, like net.jokes as early as the 1980s.[3]

The newsgroup alt.folklore.urban coined a word—furrfu—that was the ROT13 encoding of the frequently encoded utterance "sheesh". "Furrfu" evolved in mid-1992 as a response to postings repeating urban myths on alt.folklore.urban, after some posters complained that "Sheesh!" as a response to newcomers was being overused.[7]

The 1989 International Obfuscated C Code Contest (IOCCC) included an entry by Brian Westley. Westley's computer program can be encoded in ROT13 or reversed and still compiles correctly. Its operation, when executed, is either to perform ROT13 encoding on, or to reverse its input.[8]

In December 1999, it was found that Netscape Communicator used ROT13 as part of an insecure scheme to store email passwords.[9]

In 2001, Russian programmer Dimitry Sklyarov demonstrated that an eBook vendor, New Paradigm Research Group (NPRG), used ROT13 to encrypt their documents. It has been speculated that NPRG may have mistaken the ROT13 toy example—provided with the Adobe eBook software development kit—for a serious encryption scheme.[10] Windows XP uses ROT13 on some of its registry keys.[11] ROT13 is also used in the Unix fortune program to conceal potentially offensive dicta.

Letter games

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abcdefghijklmnopqrstuvwxyz
NOPQRSTUVWXYZABCDEFGHIJKLM
ahanun antnag
balkonyx barone
barfones beor
binova ebbsroof
envyrail erre
errsreef flapsync
furshe geltry
gnattang irkvex
clerkpyrex purelycheryl
PNGcat SHAfun
furbysheol terragreen
whatJung URLhey
purpuraChechen shoneFUBAR
AresNerf abjurernowhere

ROT13 provides an opportunity for letter games. Some words will, when transformed with ROT13, produce another word. Examples of 7-letter pairs in the English language are abjurer and nowhere, and Chechen and purpura. Other examples of words like these are shown in the table.[12] The pair gnat and tang is an example of words that are both ROT13 reciprocals and reversals.

Variants

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ROT5 is a practice similar to ROT13 that applies to numeric digits (0 to 9). ROT13 and ROT5 can be used together in the same message, sometimes called ROT18 (18 = 13 + 5) or ROT13.5.

ROT47 is a derivative of ROT13 which, in addition to scrambling the basic letters, treats numbers and common symbols. Instead of using the sequence A–Z as the alphabet, ROT47 uses a larger set of characters from the common character encoding known as ASCII. Specifically, the 7-bit printable characters, excluding space, from decimal 33 '!' through 126 '~', 94 in total, taken in the order of the numerical values of their ASCII codes, are rotated by 47 positions, without special consideration of case. For example, the character A is mapped to p, while a is mapped to 2. The use of a larger alphabet produces a more thorough obfuscation than that of ROT13; for example, a telephone number such as +1-415-839-6885 is not obvious at first sight from the scrambled result Z'\c`d\gbh\eggd. On the other hand, because ROT47 introduces numbers and symbols into the mix without discrimination, it is more immediately obvious that the text has been encoded.

Example:

The Quick Brown Fox Jumps Over The Lazy Dog.

enciphers to

%96 "F:4< qC@H? u@I yF>AD ~G6C %96 {2KJ s@8]

The GNU C library, a set of standard routines available for use in computer programming, contains a functionmemfrob()[13]—which has a similar purpose to ROT13, although it is intended for use with arbitrary binary data. The function operates by combining each byte with the binary pattern 00101010 (42) using the exclusive or (XOR) operation. This effects a simple XOR cipher. Like ROT13, XOR (and therefore memfrob()) is self-reciprocal, and provides a similar, virtually absent, level of security.

Implementation

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tr

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The ROT13 and ROT47 are fairly easy to implement using the Unix terminal application tr; to encrypt the string "Pack My Box With Five Dozen Liquor Jugs" in ROT13:

$ # Map upper case A-Z to N-ZA-M and lower case a-z to n-za-m
$ tr 'A-Za-z' 'N-ZA-Mn-za-m' <<< "Pack My Box With Five Dozen Liquor Jugs"
Cnpx Zl Obk Jvgu Svir Qbmra Yvdhbe Whtf

and the string "The Quick Brown Fox Jumps Over The Lazy Dog" for ROT47:

$ echo "The Quick Brown Fox Jumps Over The Lazy Dog" | tr '\!-~' 'P-~\!-O'
%96 "F:4< qC@H? u@I yF>AD ~G6C %96 {2KJ s@8

Emacs and Vim

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In Emacs, one can ROT13 the buffer or a selection with the commands[14] M-x toggle-rot13-mode, M-x rot13-other-window, or M-x rot13-region.

In the Vim text editor, one can ROT13 a buffer with the command[15] ggg?G.

Python

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The module codecs provides 'rot13' text transform.[16]

>>> import codecs
>>> print(codecs.encode('The Quick Brown Fox Jumps Over The Lazy Dog', 'rot13'))
Gur Dhvpx Oebja Sbk Whzcf Bire Gur Ynml Qbt

Without importing any libraries, it can be done in a two-line list comprehension:

string = "Quartz glyph job vext cwm porshrop finks?!"

for abcd in ["abcdefghijklmnopqrstuvwxyz", "ABCDEFGHIJKLMNOPQRSTUVWXYZ"]:
	string = ''.join([abcd[(abcd.index(char) + 13) % 26] if char in abcd else char for char in string])

print(string)

# Dhnegm tylcu wbo irkg pjz cbefuebc svaxf?!

See also

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References

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  1. ^ Kahn, David. The Codebreakers: The Story of Secret Writing. New York: Macmillan. ISBN 0-684-83130-9.
  2. ^ a b c Schneier, Bruce (1996). Applied Cryptography (Second ed.). John Wiley & Sons. pp. 11. ISBN 0-471-11709-9.
  3. ^ a b Raymond, Eric S., ed. (29 December 2003). "ROT13". The Jargon File, 4.4.7. Archived from the original on 13 January 2012. Retrieved 19 September 2007.
  4. ^ Ferner, Matt (9 December 2010). "How to Hide Email Addresses From Spam Bots". PracticalEcommerce. Archived from the original on 8 May 2016. Retrieved 12 June 2014.
  5. ^ Simanek, Donald E. (2012). "Perpetual Futility: A short history of the search for perpetual motion". The Museum of Unworkable Devices. Archived from the original on 10 October 2020. Retrieved 28 October 2020.
  6. ^ "On the 2ROT13 Encryption Algorithm" (PDF). Prüfziffernberechnung in der Praxis. 25 September 2004. Archived (PDF) from the original on 15 April 2012. Retrieved 20 September 2007.
  7. ^ "Furrfu". Foldoc. 25 October 1995. Archived from the original on 14 July 2014. Retrieved 3 October 2016.
  8. ^ Westley, Brian (1989). "westley.c". IOCCC. Archived from the original on 9 June 2012. Retrieved 13 August 2007.
  9. ^ Hollebeek, Tim; Viega, John. "Bad Cryptography in the Netscape Browser: A Case Study". CiteSeerX 10.1.1.15.9271.
  10. ^ Perens, Bruce (1 September 2001). "Dimitry Sklyarov: Enemy or friend?". ZDNet News. Archived from the original on 17 October 2014. Retrieved 3 February 2011.
  11. ^ "ROT13 is used in Windows". 24 July 2006. Archived from the original on 20 December 2016. Retrieved 15 December 2016.
  12. ^ De Mulder, Tom. "ROT13 Words". Furrfu!. Archived from the original on 2 April 2012. Retrieved 19 September 2007.
  13. ^ "5.13 Obfuscating Data". The GNU C Library Reference Manual. Free Software Foundation. 3 December 2006. Archived from the original on 2 August 2019. Retrieved 2 August 2019.
  14. ^ "Rmail Rot13 – GNU Emacs Manual" Archived 24 March 2016 at the Wayback Machine. www.gnu.org.
  15. ^ "Best of VIM Tips, gVIM's Key Features zzapper". rayninfo.co.uk. 3 March 2016. Archived from the original on 3 March 2016.
  16. ^ "codecs – Codec registry and base classes – Python 3.9.6 documentation". ww6.python.org. 2 November 2023. Archived from the original on 6 October 2020. Retrieved 7 October 2020.
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