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	Piling-up lemma - Wikipedia, the free encyclopedia
		In cryptanalysis, the piling-up lemma is a principle used in linear cryptanalysis to construct linear approximations to the action of block ciphers.
		Now, we must make the central assumption of the piling-up lemma: the binary variables we are dealing with are independent; that is, the state of one has no effect on the state of any of the others.
		However, in practice, the binary variables are not independent, as is assumed in the derivation of the piling-up lemma.
	en.wikipedia.org /wiki/Piling-up_lemma (376 words)

	List of lemmas - Wikipedia, the free encyclopedia
		This following is a list of lemmas (or, "lemmata", i.e.
		See also list of theorems and list of conjectures.
		Poincaré lemma of closed and exact differential forms (differential forms)
	en.wikipedia.org /wiki/List_of_lemmas (80 words)

	Piling-up lemma - the free encyclopedia (Site not responding. Last check: 2007-09-12)
		In cryptanalysis, the piling-up lemma is a principleused in linear cryptanalysis to construct linearapproximations to the action of block ciphers.
		Now, we must make the central assumption of the piling-up lemma: the binary variables we are dealing with areindependent; that is, the state of one has no effect on the state of any of the others.
		Thisconsideration has to be kept in mind when applying the lemma; it is not an automatic cryptanalysis formula.
	www.encyclopedia-of-knowledge.com /default.asp?t=Piling-up_lemma (329 words)

	pilin information,piling
		In cryptanalysis, the pilin-up lemma is a principleused in linear cryptanalysis to construct linearapproximations to the action of block ciphers.
		Now, we must make the central assumption of the pilin-up lemma: the binary variables we are dealing with areindependent; that is, the state of one has no effect on the state of any of the others.
		However, in practice, the binary variables are not independent, as is assumed in the derivation of the pilin-up lemma.
	www.pin-outs.com /pilin.html (404 words)

	Piling-up lemma (Site not responding. Last check: 2007-09-12)
		The piling-up lemma allows the cryptanalyst to determine the probability that the equality: :
		So that he has Prussia, at last, all a rigorous and Spartan country any modern King ever tied over; Nations according to his own image, he is a King, though his mortals for his ways of doing; which indeed were very strange.
		I suppose there turned up no name oftener than that his Reign, his wild pranks and explosions gave food for continual discovered.
	piling-up-lemma.kiwiki.homeip.net (528 words)

	Clinton Goveas :: Wikipedia Reference (Site not responding. Last check: 2007-09-12)
		In an effort to avoid simple relationships between the cipher key and the subkeys, many modern ciphers use much more elaborate key schedules, algorithms that use a one-way function to generate an "expanded key" from which subkeys are drawn.
		Some ciphers, such as Rijndael (AES) and Blowfish, use parts of the cipher algorithm itself for this key expansion, sometimes initialized with some "nothing up my sleeve numbers".
		Other ciphers, such as RC5, expand keys with functions that are somewhat or completely different from the encryption functions.
	www.clintongoveas.com /wikipedia/?title=Key_schedule (364 words)

	SECURITY System Encryption DM-Crypt with LUKS - Gentoo Linux Wiki
		UPS powered systems don't have this problem and it is safe to turn write caching on.
		To finish up, the output (random key) is piped into gpg, which encrypts it using a symmetric cipher.
		This init process is then responsible for bringing the system the rest of the way up, in our case, its job will be to decrypt the root partition and switch to it, delegating the rest of your system boot process to the normal init.
	gentoo-wiki.com /SECURITY_System_Encryption_DM-Crypt_with_LUKS (8616 words)

	Pipe Piling (Site not responding. Last check: 2007-09-12)
		Piling-up lemma 1: In cryptanalysis, the piling -up lemma is a principle used in linear crypta 4: The piling -up lemma allows the cryptanalyst to determine the 10: o, A cannot happen.
		27: Now, we must make the central assumption of the piling -up lemma: the binary variables we are dealing wit 69: dependent, as is assumed in the derivation of the piling -up lemma.
		Levee 9: Levees are usually built by piling earth on a cleared, level surface.
	www.relativeaccess.com /File/35630-Pipe.Piling.Html (592 words)

	Constructing Symmetric Ciphers Using the CAST Design Procedure
		Both methods work on the principle of finding high-probability attacks on a single round and then building up "characteristics" (sets of consecutive rounds which interact in useful ways); characteristics which include a sufficient number of rounds can lead to cryptanalysis of the cipher.
		Lemma 1: m×n s-boxes designed according to the above procedure can be made to have a largest value, L, in the difference distribution table such that 2 andsup2; L andsup2; 2m/2.
		Proof: Recall from Lemma 1 that the largest value in the difference distribution table of CAST-designed m×n s-boxes is L, where 2 andsup2; L andsup2; 2m/2.
	cryptome.sabotage.org /cast.html (12489 words)

	[No title]
		Piling Up Lemma: the bias of the xor of independent distributions is the product of the biases.
		Now consider the SPN starting from the plaintext up through xor'ing with K^{Nr}, that is, not including the last layer of S-boxes and the last round key.
		By the Piling Up Lemma, the bias of S is 2^{s-1}(product of the biases of the individual throughputs), where s is the number of S-boxes in the subnetwork.
	www.cse.sc.edu /~fenner/csce590h/course-notes (9536 words)

	Block size (cryptography) - epnn.org (Site not responding. Last check: 2007-09-12)
		Consequently AES candidates were required to support a block length of 128 bits (16 bytes).
		This should be acceptable for up to $2^{64} \times 16$ B = 256 Exabytes of data, and should suffice for quite a few years to come.
		The winner of the AES contest, Rijndael, supports block sizes of 128, 192, and 256 bits, although the extra block sizes were not adopted by the AES standard.
	www.epnn.org /index.php?title=Block_size_(cryptography) (365 words)

	[No title]
		Irvine said she has no experimental data on the speed of the GARNETS system, and that a distinct hierarchy of GEMSOS storage objects is required for each of the up to a ``gizillion'' access classes.
		First up this session was John Millen of the Mitre Corporation, presenting his paper "The Interrogator Model." The Interrogator is a tool for analyzing cryptographic authentication and key distribution protocols.
		He claimed that a bottom up approach is easier: infrastructure, user convenience, politics (e.g., patents and export controls), costs, and timeliness have been stumbling blocks.
	www.ieee-security.org /Cipher/PastIssues/1995/issue9505/issue9505.txt (14612 words)

	last minute Piling up_lemma - last-minute-report.com (Site not responding. Last check: 2007-09-12)
		The coach’s contract awards healthy bonuses for success, and he just keeps piling them up.
		While trying to balance attending all of the holiday events and completing the last-minute shopping, the gifts piling up on the dining room table for...
		United grabbed the initiative, piling additional stress on a defence already bereft of captain Russell Anderson, a victim of the flu virus which earlier in...
	www.last-minute-report.com /Piling-up_lemma (168 words)

	The Observer: Weekly Newspaper (Site not responding. Last check: 2007-09-12)
		NUTLEY – Frank L. Lemma and Daniel L. Marese were presented the Four Chaplains Legion of Honor award by Nelson W. Rummel, past commander of New Jersey AMVETS at the 10
		Lemma has been active with many township groups such as the Family Service Bureau, Nutley Adult School and the Nutley First Aid squad.
		Both Lemma and Marese were members of the committee to refurbish Nutley’s World War II Monument and the monument’s rededication ceremonies.
	www.theobserver.com /archives/05-11-05/award.shtml (314 words)

	Amazon.com: "Piling-up Lemma": Key Phrase page (Site not responding. Last check: 2007-09-12)
		This allows the use of Matsui's Piling-up Lemma [9] in Sections 4 and 5.
		Harpes, G.G. Kramer, J.L. Massey, A generalization of linear cryptanalysis and the applicability ofMatsui 's piling-up lemma, 24-38.
		The piling-up lemma [18] learns that the probability that this equation holds is equal to 1/2 + 2' 0+1 where c is...
	www.amazon.com /phrase/Piling_up-Lemma (656 words)

	piling Foster Piling
		Specks in Printing: PILING Piling is a build-up of ink and/or paper material on the blanket during printing.
		Cape Atlantic Piling Cape Atlantic Piling Co. LLC is the premier marine construction contractor in Southern New Jersey.
		North PacificPole Piling Division The Pole and Piling Department is the largest independent distributor of electric utility poles in the U.S. in every state and all of Canada with major export markets.
	oropharyngeal.blog8.skyblogsite.com /index110.html (4114 words)

	[No title]
		Now we want to iteratively get rid of the V_i-j terms via replacing them with U_m-n and K_i-(j+1) terms.
		In this case we're following the V's down versus following the U's up.
		If we imagine that the key bits are fixed, then this RV: K_1-5 XOR K_1-7 XOR K_1-8 XOR K_2-6 XOR K_3-6 XOR K_3-14 XOR K_4-6 XOR K_4-14 XOR K_4-8 XOR K_4-16 --> has a fixed value (0 or 1) So...
	www.stanford.edu /~stinson/crypto/cs255/lectures/lin_diff.txt (375 words)

	Wikidpedia - The free online encyclopedia - Advanced Encryption Standard (Site not responding. Last check: 2007-09-12)
		A related-key attack can break up to 9 rounds of 256-bit AES.
		On systems with 32-bit or larger words, it is possible to speed up execution of this cipher by converting the
		One then has four 256-entry 32-bit tables, which utilizes a total of four kilobytes (4096 bytes) of memory--a kilobyte for each table.
	www.pagerank10.co.uk /wiki/?title=Advanced_Encryption_Standard (2024 words)

	piling information (Site not responding. Last check: 2007-09-12)
		Your search for 'piling' seem to be correctly spelled.
		We hope our site let you find what you have been looking for.
		Latest version of article is located at wikipedia.org site.
	www.pin-outs.com /piling.html (397 words)

	lect1
		Thus having found a good approximation one also has to check that no other "balancing" approximation exists.
		d) As in differential cryptanalysis "piling up lemma" allows to multiply the round biases if rounds are independent.
		This since round subkeys are not-independent any bias estimation (as well as DC) has to be checked empirically.
	www.wisdom.weizmann.ac.il /~albi/cryptanalysis/lect15.htm (714 words)

	The Dispatch - Serving the Lexington, NC - News (Site not responding. Last check: 2007-09-12)
		Another variable physical phenomenon that is easy to measure is clock drift.
		It is ultimately related to component differences (due perhaps to quantum effects during manufacture), to design differences (different designs will usually differ in their variance characteristics), to behavior changes caused by component aging, and to configuration / set up differences.
		Many of these, with sufficient examination of the hardware and its behaviors, can be predicted well enough to render the random numbers produced more or less predictable, and so non-random.
	www.the-dispatch.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=Hardware_random_number_generator (4337 words)

	Crypto Homework 5 (Site not responding. Last check: 2007-09-12)
		Compute the linear approximation table for this S-box (see Table 4 from Heys).
		Find a linear approximation using 3 active S-boxes, and use the piling-up lemma to estimate the bias of
		Explain your answer at the level of detail of slides 9-11 (and answer the analogues of the questions from slide 10).
	www.cs.rit.edu /~eh/crypto_h5.html (271 words)

	A Generalization of Linear Cryptanalysis and the Applicability of Matsui's Piling-up Lemma - Harpes, Kramer, Massey ...
		A Generalization of Linear Cryptanalysis and the Applicability of Matsui's Piling-up Lemma - Harpes, Kramer, Massey (ResearchIndex)
		A generalization of linear cryptanalysis and the applicability of Matsui's piling-up lemma.
		@article{ harpes95generalization, author = "Carlo Harpes and Gerhard G. Kramer and James L. Massey", title = "A generalization of linear cryptanalysis and the applicability of {Matsui}'s piling-up lemma", journal = "Lecture Notes in Computer Science", volume = "921", pages = "24--??", year = "1995", url = "citeseer.ist.psu.edu/95312.html" }
	citeseer.ist.psu.edu /95312.html (461 words)

	piling-up lemma - Definition and Meaning of piling-up lemma
		piling-up lemma - Definition and Meaning of piling-up lemma
		1: lemma (noun) 1: a subsidiary proposition t...
		1: lemma A result already proved, which is needed...
	www.wordiq.com /reference/piling-up+lemma (86 words)

	List of lemmas Details, Meaning List of lemmas Article and Explanation Guide
		List of lemmas Details, Meaning List of lemmas Article and Explanation Guide
		List of lemmas Guide, Meaning, Facts, Information and Description
		This is an Article on List of lemmas.
	www.e-paranoids.com /l/li/list_of_lemmas.html (82 words)

	Cryptology ePrint Archive (Site not responding. Last check: 2007-09-12)
		Experimental results have been provided to show that such a scheme cannot be cryptanalyzed using Linear Cryptanalysis.
		secret-key cryptography / Block Ciphers, linear cryptanalysis, Key Mixing, Linear Approximations, Piling-Up Lemma
		Contact author: debdeep at vlsi iitkgp ernet in
	eprint.iacr.org /2005/383 (94 words)

	last minute Linear_cryptanalysis - last-minute-report.com (Site not responding. Last check: 2007-09-12)
		A 90th minute winner from on-loan striker Darryl Duffy gave Hartlepool three points as Posh slipped to a fourth defeat of the festive period.
		Area grocery stores were preparing for a busy day Saturday, as people picked up their last minute New Year’s celebration needs.
		Mbeki does last minute holiday shopping in Menlyn
	www.last-minute-report.com /Linear_cryptanalysis (358 words)

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