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	Luhn algorithm - Encyclopedia Glossary Meaning Explanation Luhn algorithm (Site not responding. Last check: 2007-10-19)
		Luhn algorithm - Encyclopedia Glossary Meaning Explanation Luhn algorithm.
		The Luhn algorithm or Luhn formula, also known as the "modulus 10" or "mod 10" algorithm,
		# If the total ends in 0 (put another way, if the total modulus 10 is 0), then the number is valid according to the LUHN formula, else it is not valid.
	www.encyclopedia-glossary.com /en/Luhn-algorithm.html (586 words)

	Luhn algorithm -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-19)
		The Luhn algorithm or Luhn formula, also known as the " ((physics) a coefficient that expresses how much of a specified property is possessed by a specified substance) modulus 10" or "mod 10" (A precise rule (or set of rules) specifying how to solve some problem) algorithm,
		Much of its notoriety comes from credit card companies' adoption of it shortly after its creation in the late (The decade from 1960 to 1969) 1960s by (additional info and facts about IBM) IBM scientist (additional info and facts about Hans Peter Luhn) Hans Peter Luhn (1896–1964).
		The sum of 30 is divided by 10; the remainder is 0, so the number is valid.
	www.absoluteastronomy.com /encyclopedia/l/lu/luhn_algorithm.htm (549 words)

	CHOPGO.COM eShop - Secret of your Credit Card Number - Luhn formula
		The LUHN formula was created in the late 1960s by a group of mathematicians.
		In fact, the LUHN formula is widely used to generate the check digits of many different primary account numbers.
		The Luhn algorithm (also known as the mod 10 algorithm) is used to catch data entry errors when entering long sequences of numbers.
	www.chopgo.com /offering/CreditCardNumber.html (1329 words)

	BrainJar.com: Validation Algorithms
		The last digit, however, is generated by performing a fixed set of calculations on the other digits.
		For almost all credit cards, the Luhn Formula is used.
		This algorithm generates a single digit which is then used as the last digit of the card number.
	www.brainjar.com /js/validation/default2.asp (912 words)

	[No title] (Site not responding. Last check: 2007-10-19)
		The LUHN formula, also called modulus 10, is a simple algorithm used to validate the number on a credit card.
		Originally created by a group of mathematicians in the 1960s, the LUHN formula is in the public domain, and anyone can use it.
		The LUHN formula can be used by a business to make sure a credit card is valid before sending the number for debit authorization.
	searchwebservices.techtarget.com /termParser/1,290913,sid9_gci214514,00.html (281 words)

	NIST Monograph 91: Automatic Indexing: A State-of-the-Art Report (Site not responding. Last check: 2007-10-19)
		The automatic encoding of documents may be achieved either by taking the high ianking words of the selected sentences or by selecting the highest ranking of the words in the entire document as index entries.
		Luhn typically justifies these procedures as follows: "Of various automatic procedures for deriving typical patterns for characterizing documents, the systems here proposed are based on operations involving statistical properties of words.
		On the abstracting side, modifications to the original Luhn formula involve segmenting sentences in terms of strings of both high and low valued words separated by either periods or continuous strings of low valued words, on the assumption that long consecutive strings of low value words should weight negatively.
	www.itl.nist.gov /iaui/894.02/projects/irlib/pubs/mono91/mono91_text/03_076.txt (476 words)

	Credit Line Formula (Site not responding. Last check: 2007-10-19)
		This formula results in a fraction less than one...
		Merge gains expanded line of credit - 2003-01-10 - American City Business Journals Inc. is the nation's largest publisher of metropolitan business newspapers, serving 41 of the country's most vibrant markets.
		use a simple formula (see box) to determine the amount of your credit line.
	www.loans-connection.com /credit-line-formula.html (394 words)

	Formula - 300 Multiple Choices (Site not responding. Last check: 2007-10-19)
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	[No title]
		The Luhn * formula is used to validate credit card numbers, Canadian * social security numbers and many other financial services * numbers.
		Luhn is one of the more common validations that an e-commerce application must implement.
		Putting the validation in the database may or may not be the best place but there are times when you need validation at multiple levels of the application including the database.
	www.dotnetspider.com /technology/kbpages/1019.aspx (563 words)

	MoreRead.com - Client/Server-side ASP.NET Credit Card Validation Control - 2004-02-29 (Site not responding. Last check: 2007-10-19)
		I'll cover the basics of how Luhn's formula can be used later but more detailed information is available from Webopedia.
		Firstly, whether the number passes the check using Luhn's formula - checking that the various digits of the number are correct, and secondly, whether the number entered is an accepted card type.
		The formula is well documented around the web, so this is intended just as a reminder or overview of the algorithm.
	www.moreread.com /it/archives/2004/02/29/17687.shtml (4722 words)

	Claredi - NPI Resources
		This validation routine uses the Luhn algorithm and takes into account the presence or absence of the 80840 prefix.
		Luhn formula for computing modulus 10 "double-add-double" check digit as it originally appeared in the Annex B to ISO Standard 7812-1.
		The Luhn Mod-10 Method implemented with lookup tables, but without accounting for the 80840 prefix.
	www.claredi.com /download/npi_resources.php (585 words)

	MoreRead.com - Credit Card Validator control for ASP.NET - 2002-08-20
		Firstly, through checking the card number using Luhn's formula, the details of which are included in the next part of the article.
		The main way the card number is going to be validated is through Luhn's formula, so firstly a little bit of background information and a demo of how the validation is performed.
		If it is to be checked, then the length is checked before the number is evaluated against Luhn's formula.
	www.moreread.com /it/archives/2002/08/20/17682.shtml (2390 words)

	Formula (Site not responding. Last check: 2007-10-19)
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	getinfoeasy.com /q/formula.html (799 words)

	codewalkers.com - php tutorials - PHP Strings Primer - PHP Help (Site not responding. Last check: 2007-10-19)
		The algorithm is called the LUHN mod 10 formula.
		This formula comes in handy as a first line check before sending information to a credit card merchant for processing.
		Below is an implementation of the LUHN formula in PHP, using the 'strrev()' function.
	codewalkers.com /tutorials/45/14.html (467 words)

	12 Number Random Help :: MrExcel Message Board
		I then utilize the Luhn formula to validate a checksum of the entire number utilizing the 1st digit (read right to left i.e.
		I use the =MOD(K17,10) formula to do this, where K17 is the SUM(K4:K15)(The Luhn Formula values).
		This is not a complete solution for you, but please check this UDF to verify that my Luhn Formula method is correct.
	www.mrexcel.com /archive2/28900/32952.htm (886 words)

	RE: isCreditCard() and Mastercards?
		If anyone is interested, I wrote a validation function based on the LUHN formula to validate card numbers.
		This can be added to the existing entry an cflib, or if someone wants to submit it as a separate entry they are free to do so.
		// Verifies the format of a credit card number via LUHN Formula (Mod 10) // Based on information available at http://www.beachnet.com/~hstiles/cardtype.html var rev = reverse(cc_num); // Reverse the number so we can start at the end.
	www.mail-archive.com /cf-talk@houseoffusion.com/msg208237.html (323 words)

	Jul 2002 Credit card generator, friendly fraud, triangulation - Fraud In Other Words by Larry Adams
		Credit card companies adopted the LUHN formula to generate, validate, and verify the accuracy of credit card numbers.
		The formula generates the last number of a card number, known as the checksum digit.
		In Canada, the LUHN formula is used to check the validity of a person’s Canadian Social Insurance Number (SIN).
	www.larry-adams.com /0207_article.htm (982 words)

	iRule: CCN Scrubber
		But one thing is common: they all must pass the Luhn Formula.
		Info on the Luhn Formula, or MOD 10 can be found here.
		Then the number is run through the Luhn formula (with optimizations by unRuleY).
	devcentral.f5.com /weblogs/joe/archive/2005/07/27/1400.aspx (142 words)

	CheckLuhn (atcValidate) - ChamberGates WebHosting
		Performs a Luhn check using the last digit as the check sum.
		The number to check using the Luhn formula.
		The CheckLuhn method will check the given number to make sure that it passes the "Luhn" or the "MOD10" test using the last digit of the number as the checksum.
	chambergates.com /Support/FAQ/atcVal_CheckLuhn.htm (59 words)

	Anti-Phishing Working Group: eBay - 'Account Verification'
		The site will check whether the fields are filled, and will check the credit card number using the Luhn formula.
		It is a simple mathematical formula, typically used for a first stage CC verification (i.e.
		It will, of course, accept a bogus number conforming to the Luhn formula rule.
	www.antiphishing.org /phishing_archive/01-11-05_eBay/01-11-05_eBay.html (248 words)

	Luhn formula - Ecommerce Guide - Terms You Need to Know to Do Business on the Internet
		Luhn formula - Ecommerce Guide - Terms You Need to Know to Do Business on the Internet
		Based on ANSI X4.13, the LUHN formula (also known as the modulus 10 -- or mod 10 -- algorithm) is used to generate and/or validate and verify the accuracy of credit-card numbers.
		Using an example credit-card number, site illustrates how the Luhn formula works.
	e-comm.webopedia.com /TERM/L/Luhn_formula.html (368 words)

	luhn (Site not responding. Last check: 2007-10-19)
		Based on ANSI X4.13, the LUHN formula (also known as the modulus 10 -- or mod 10 -- algorithm...
		The LUHN formula is also used to check Canadian Social Insurance Number...
		Luhn Credit Card numbers are (most times) 13 to 16 digit numbers which are protected by a special numerical check, called Luhn check.
	www.debt-consolidation-search.net /luhn.htm (445 words)

	LUHN formula - a Whatis.com definition - see also: modulus 10
		LUHN formula - a Whatis.com definition - see also: modulus 10
		The LUHN formula applies some simple arithemetic to a credit card number to calculate a number that must agree with the check digit, the last number that appears on the credit card.
		It does not verify any other information on a credit card, including whether the card's date is valid.
	searchsecurity.techtarget.com /sDefinition/0,,sid14_gci214514,00.html (348 words)

	Anti-Phishing Working Group: Citibank - 'Citibank Alerting Service'
		The phishy URL and the lack of secure session indication (standard procedure in personal data transfer to legitimate institutions) are highlighted above - they are the main technical clues of phishing.
		The site uses the 'Luhn's formula' algorhytm to verify the legitimacy of the card numer entered.
		To recapitulate - the main conclusion that can be drawn from this case is that a broad educational effort on phishing is necessary to be aimed towards the general public.
	www.antiphishing.org /phishing_archive/11-15-04_Peoples_Bank/11-15-04_Peoples_Bank.html (270 words)

	Credit Card Validation via the Luhn Formula--Part 3 of Chapter 7 from Usable Shopping Carts (1/4) - WebReference.com
		In addition, the number itself can be subjected to a mathematical test (of the sort generally referred to generally as a checksum) which it must pass in order to be legitimate.
		This test is known as the Luhn formula.
		It is somewhat tedious to perform by hand, but it's not terribly difficult to write a script to automate the task.
	www.webreference.com /programming/carts/chap7/3 (558 words)

	Sandbox - CCard - Credit Card Validation - @Formula (Site not responding. Last check: 2007-10-19)
		@Formula to check the validity of a credit card number.
		I've seen the LUHN algorithm in LotusScript, JavaScript, ASP, VBScript, etc., but had yet to find a strictly @Function version, so I created my own.
		This formula will check the validity of American Express, Discover Card, Master Card, and Visa card numbers in accordance with the LUHN formula (a.k.a.
	www.lotus.com /ldd/sandbox.nsf/ByDateNJ/10f9118d10cb7e2585256cc2007821d9?OpenDocument (141 words)

	Black Market Press - LUHN Formula (Site not responding. Last check: 2007-10-19)
		Based on ANSI X4.13, the LUHN formula (also known as the modulus 10 -- or mod 10 --
		Illustrates how the Luhn formula works using an example credit-card number
		Explanation of the formula used to generate and/or validate the accuracy of credit-card numbers.
	www.blackmarketpress.net /info/plastic/Luhn_Formula.htm (457 words)

	XForms 1.1
		The standard defines the structure of the number as well as how to apply the Luhn formula to ensure a correct check digit.
		and that to be valid the luhn function must evaluate to true indicating that check digit is valid.
		This action is used to clone and insert a subtree from one place in an instance to another place in an instance.
	www.w3.org /TR/2004/WD-xforms11-20041115 (3581 words)

	[No title] (Site not responding. Last check: 2007-10-19)
		If a Name code is specified, the number is checked against card-specific criteria, then validated with the Luhn Mod 10 formula.
		Otherwise it is only checked against the formula.
		// The Luhn formula works right to left, so reverse the number.
	www.zend.com /codex.php?id=80&single=1 (214 words)

	Microsoft SQL Server: Programming - RE: Just a little QA
		This is taken from the Luhn function I received help on earlier.
		At the risk of digressing slightly - I am famililar with Luhn 10 coding for credit cards but want to check UK and Australian bank account numbers and sort codes.
		Do you know what algorithm would be suitable for checking these and where I might obtain further details.
	www.tek-tips.com /viewthread.cfm?qid=671509&page=1 (722 words)

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