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==========
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**EME** (ECB-Mix-ECB or, clearer, **Encrypt-Mix-Encrypt** ) is a wide-block
encryption mode developed by Halevi
and Rogaway in 2003 _[eme]_ (square-bracketed italics like _[this]_ are literature references, detailed in the
References secion).
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EME uses multiple invocations of a block cipher to construct a new
cipher of bigger block size (in multiples of 16 bytes, up to 2048 bytes).
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Quoting from the original _[eme]_ paper:
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> We describe a block-cipher mode of operation, EME, that turns an n-bit block cipher into
> a tweakable enciphering scheme that acts on strings of mn bits, where m ∈ [1..n]. The mode is
> parallelizable, but as serial-efficient as the non-parallelizable mode CMC [6]. EME can be used
> to solve the disk-sector encryption problem. The algorithm entails two layers of ECB encryption
> and a “lightweight mixing” in between. We prove EME secure, in the reduction-based sense of
> modern cryptography.
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Figure 2 from the _[eme]_ paper shows an overview of the transformation:
[![Figure 2 form [eme]](paper-eme-fig2.png)](#)
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This is an implementation of EME in Go, complete with test vectors from IEEE.
Is it patentend?
----------------
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In 2007, the UC Davis has decided to abandon _[patabandon]_ the patent
application for EME _[patappl]_ .
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Related algorithms
------------------
**EME-32** is EME with the cipher set to AES and the length set to 512.
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That is, EME-32 _[eme-32-pdf]_ is a subset of EME.
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**EME2**, also known as EME* _[emestar]_ , is an extended version of EME
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that has built-in handling for data that is not a multiple of 16 bytes
long.
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EME2 has been selected for standardization in IEEE P1619.2 _[p1619.2]_ .
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References
----------
**[eme]** *A Parallelizable Enciphering Mode*
Shai Halevi, Phillip Rogaway, 28 Jul 2003
https://eprint.iacr.org/2003/147.pdf
Note: This is the original EME paper. EME is specified for an arbitrary
number of block-cipher blocks. EME-32 is a concrete implementation of
EME with a fixed length of 32 AES blocks.
**[eme-32-email]** *Re: EME-32-AES with editorial comments*
Shai Halevi, 07 Jun 2005
http://grouper.ieee.org/groups/1619/email/msg00310.html
**[eme-32-pdf]** *Draft Standard for Tweakable Wide-block Encryption*
Shai Halevi, 02 June 2005
http://grouper.ieee.org/groups/1619/email/pdf00020.pdf
Note: This is the latest version of the EME-32 draft that I could find. It
includes test vectors and C source code.
**[eme-32-testvec]** *Re: Test vectors for LRW and EME*
Shai Halevi, 16 Nov 2004
http://grouper.ieee.org/groups/1619/email/msg00218.html
**[emestar]** _EME*: extending EME to handle arbitrary-length
messages with associated data_
Shai Halevi, 27 May 2004
https://eprint.iacr.org/2004/125.pdf
**[patabandon]** *Re: [P1619-2] Non-awareness patent statement made by UC Davis*
Mat Ball, 26 Nov 2007
http://grouper.ieee.org/groups/1619/email-2/msg00005.html
**[patappl]** *Block cipher mode of operation for constructing a wide-blocksize block cipher from a conventional block cipher*
US patent application US20040131182
http://www.google.com/patents/US20040131182
**[p1619.2]** *IEEE P1619.2™/D9 Draft Standard for Wide-Block
Encryption for Shared Storage Media*
IEEE, Dec 2008
http://siswg.net/index2.php?option=com_docman& task=doc_view& gid=156& Itemid=41
Note: This is a draft version. The final version is not freely available
and must be bought from IEEE.