E6 (mathematics): Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>Rjwilmsi
m Journal cites, added 1 DOI using AWB (9887)
en>OgreBot
 
Line 1: Line 1:
{{Other uses}}


{{Infobox block cipher
| name          = 3-Way
| image        =
| caption      =
| designers    = [[Joan Daemen]]
| publish date  = 1994
| derived from  =
| derived to    = [[NOEKEON]]
| related to    = [[BaseKing]]
| key size      = 96 bits
| block size    = 96 bits
| structure    = [[Substitution-permutation network]]
| rounds        = 11
| cryptanalysis = [[related-key attack]]
}}


In [[cryptography]], '''3-Way''' is a [[block cipher]] designed in 1994 by [[Joan Daemen]]. It is closely related to [[BaseKing]]; indeed, the two are variants of the same general cipher technique.
First, let us introduce the Nike Company for you.<br><br>The head office of Nike Company is located in Beaverton, Oregon state, United States. This corporation mainly produces and sells all kinds of sports products including shoes, clothes and accessories. These things are very useful for those who like sports and  nike free run 4.0 kids fitness exercises.<br><br>This company is doing well in the industry. There are many constituent companies including Converse Company, Cole Haan Proprietary Company, Umbro limited corporation and Hurley International Corporation. Converse Corporation designs and manages all kinds of running shoes, clothes and accessories.<br><br>Cole Haan holding company mainly designs and markets luxury shoes, handbags, accessories and jackets. In the UK, the world's leading football brand is Umbro limited corporation. Hurley International Corporation offers customers some extreme sports footwear.<br><br>In addition, the company offers some running shoes, apparel and accessories for young people to pander to their lifestyles.<br>In addition, the application of Nike Free has extended to the men's training shoes. For example, Nike Free Haven applies Free 3.0 technique. Free 3.0 can bring us good resilience and coziness. You will feel as if you do not wear shoes. Several kinds of women's shoes also apply Free technique.<br><br>For example, Nike Free Advantage, Nike Free Gym, Nike Free TR Fit 2, and Nike Free TR Twist. No matter you are in the indoor or outdoor, you can enjoy the flexibility, comfort and the balanced supporting force.<br>These shoes can fulfill your feet's freedom. On website Nike Free Run id service started. This service was used before Nike Free 3.0 V4 and Nike Free +3 appeared on the market. The customers can choose Nike Free 3.0 or 5.0 to have the suitable shoes. They also can select their favorite color to show their personality.<br><br>Actually, there are many famous persons who have chosen this service. These people include Li Na, Liu Xiang, American sprint athlete Allyson Felix, Soda green band's lead singer Wu Qingfeng.<br>Nike Free can be regarded as an art. In fact, the characteristics of Nike Free are elastic and curved outsoles and the insteps with special shapes. Lin Fulan, a French photographer mentioned that the incision of Nike Free's soles is the most symbolic. No matter where you are, you can do sports as if you exercise without shoes.<br><br>Your feet are free enough. In addition, according to the famous cameraman Qing Tou, Nike Free series' treads' incision is best. She considered earth, hydrology, Naruto, landscape, space and other elements of nature to highlight the concept of integration of natural movements and external environments.<br><br>The graphic artist Huang Wei interpreted, "My works are embodied in a kind of pleasure of pursuing speed". Because of Nike Free technique, people can achieve their dreams. Jin Ningning, an illustrator of Shanghai told us the story of Nike Free with ten interesting and funny comic strips.<br><br>He envisioned a boy from a future world driving a robot. He ran freely between the heaven and earth with Nike Free shoes. But, Xiao Huang showed us a picture of so many animals. They were running in the natural world. This picture made people feel the power of freedom.<br>Nike Free running shoes inspire this kind of desire<br><br>Normal 0 7.8 � 0 2 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable mso-style-name:n
 
3-Way has a [[block size (cryptography)|block size]] of 96 [[bit]]s, notably not a [[power of two]] such as the more common 64 or 128 bits. The [[key length]] is also 96 bits. The figure 96 arises from the use of three 32 bit [[word (computer architecture)|word]]s in the algorithm, from which also is derived the [[cipher]]'s name. When 3-Way was invented, 96-bit keys and blocks were quite strong, but more recent ciphers have a 128-bit block, and few now have keys shorter than 128 bits. 3-Way is an 11-round [[substitution-permutation network]].
 
3-Way is designed to be very efficient in a wide range of platforms from 8-bit processors to specialized [[Computer hardware|hardware]], and has some elegant mathematical features which enable nearly all the decryption to be done in exactly the same circuits as did the encryption.  
 
3-Way, just as its counterpart BaseKing, is vulnerable to [[Related-key attack|related key]] [[cryptanalysis]]. [[John Kelsey (cryptanalyst)|John Kelsey]], [[Bruce Schneier]], and [[David A. Wagner|David Wagner]] showed how it can be broken with one related key query and about <math>2^{22}</math> [[chosen-plaintext attack|chosen plaintexts]].
 
==References==
* {{ cite conference
  | author = [[Joan Daemen|J. Daemen]], R. Govaerts, [[Joos Vandewalle|J. Vandewalle]]
  | url = http://citeseer.ist.psu.edu/73063.html <!-- A different version, but the same paper. -->
  | title = A New Approach to Block Cipher Design
  | booktitle = [[Fast Software Encryption]] (FSE) 1993
  | pages = 18–32
  | publisher = [[Springer-Verlag]]
  | date = 1993 }} 
* {{ cite conference
  | author = J. Kelsey, B. Schneier, and D. Wagner
  | title = Related-Key Cryptanalysis of 3-WAY, Biham-DES, CAST, DES-X, NewDES, RC2, and TEA
  | booktitle = ICICS '97 Proceedings
  | pages = 233–246
  | publisher = Springer-Verlag
  | date = November 1997
  | url = http://www.schneier.com/paper-relatedkey.html
  | format = [[PDF]]/[[PostScript]]
  | accessdate = 2007-02-14 }}
 
==External links==
* [http://www.users.zetnet.co.uk/hopwood/crypto/scan/cs.html#3-Way SCAN's entry for 3-Way]
* [http://www.esat.kuleuven.ac.be/~cosicart/ps/JD-9500/ Chapter 7 of Daemen's thesis] ([[gzip]]ped Postscript)
<!-- * [http://home.ecn.ab.ca/~jsavard/crypto/co040307.htm John Savard's description of 3-Way] -->
 
{{Cryptography navbox | block}}
 
[[Category:Broken block ciphers]]

Latest revision as of 06:02, 30 December 2014


First, let us introduce the Nike Company for you.

The head office of Nike Company is located in Beaverton, Oregon state, United States. This corporation mainly produces and sells all kinds of sports products including shoes, clothes and accessories. These things are very useful for those who like sports and nike free run 4.0 kids fitness exercises.

This company is doing well in the industry. There are many constituent companies including Converse Company, Cole Haan Proprietary Company, Umbro limited corporation and Hurley International Corporation. Converse Corporation designs and manages all kinds of running shoes, clothes and accessories.

Cole Haan holding company mainly designs and markets luxury shoes, handbags, accessories and jackets. In the UK, the world's leading football brand is Umbro limited corporation. Hurley International Corporation offers customers some extreme sports footwear.

In addition, the company offers some running shoes, apparel and accessories for young people to pander to their lifestyles.
In addition, the application of Nike Free has extended to the men's training shoes. For example, Nike Free Haven applies Free 3.0 technique. Free 3.0 can bring us good resilience and coziness. You will feel as if you do not wear shoes. Several kinds of women's shoes also apply Free technique.

For example, Nike Free Advantage, Nike Free Gym, Nike Free TR Fit 2, and Nike Free TR Twist. No matter you are in the indoor or outdoor, you can enjoy the flexibility, comfort and the balanced supporting force.
These shoes can fulfill your feet's freedom. On website Nike Free Run id service started. This service was used before Nike Free 3.0 V4 and Nike Free +3 appeared on the market. The customers can choose Nike Free 3.0 or 5.0 to have the suitable shoes. They also can select their favorite color to show their personality.

Actually, there are many famous persons who have chosen this service. These people include Li Na, Liu Xiang, American sprint athlete Allyson Felix, Soda green band's lead singer Wu Qingfeng.
Nike Free can be regarded as an art. In fact, the characteristics of Nike Free are elastic and curved outsoles and the insteps with special shapes. Lin Fulan, a French photographer mentioned that the incision of Nike Free's soles is the most symbolic. No matter where you are, you can do sports as if you exercise without shoes.

Your feet are free enough. In addition, according to the famous cameraman Qing Tou, Nike Free series' treads' incision is best. She considered earth, hydrology, Naruto, landscape, space and other elements of nature to highlight the concept of integration of natural movements and external environments.

The graphic artist Huang Wei interpreted, "My works are embodied in a kind of pleasure of pursuing speed". Because of Nike Free technique, people can achieve their dreams. Jin Ningning, an illustrator of Shanghai told us the story of Nike Free with ten interesting and funny comic strips.

He envisioned a boy from a future world driving a robot. He ran freely between the heaven and earth with Nike Free shoes. But, Xiao Huang showed us a picture of so many animals. They were running in the natural world. This picture made people feel the power of freedom.
Nike Free running shoes inspire this kind of desire

Normal 0 7.8 � 0 2 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable mso-style-name:n

Retrieved from "https://en.formulasearchengine.com/index.php?title=E6_(mathematics)&oldid=227793"