I have created a SQLServer User-Defined function for checking and creating the Verhoeff check digit.

See WikiPedia:Verhoeff_algorithm∞

The Verhoeff algorithm, a checksum formula for error detection first published in 1969, was developed by Dutch mathematician Jacobus Verhoeff (born 1927). Like the more widely known Luhn algorithm, it works with strings of decimal digits of any length. It does a better job than the Luhn algorithm, though, in that it will detect all "transposition" errors (switching of two adjacent digits), as well as catching many other types of errors that pass the Luhn formula undetected.

Usage for checking the validity of a number:

Usage for creating a check digit for a number:

Tested with MS SQLServer 2005.

See WikiPedia:Verhoeff_algorithm∞

The Verhoeff algorithm, a checksum formula for error detection first published in 1969, was developed by Dutch mathematician Jacobus Verhoeff (born 1927). Like the more widely known Luhn algorithm, it works with strings of decimal digits of any length. It does a better job than the Luhn algorithm, though, in that it will detect all "transposition" errors (switching of two adjacent digits), as well as catching many other types of errors that pass the Luhn formula undetected.

/****** Object: UserDefinedFunction [dbo].[checksumVerhoeff] Script Date: 02/08/2008 15:54:28 ******/ SET ANSI_NULLS ON GO SET QUOTED_IDENTIFIER ON GO CREATE FUNCTION [dbo].[checksumVerhoeff] (@NUMBER bigint, @ACTION tinyint) /* @NUMBER is the number to check or to create a checkdigit for. */ /* @ACTION: 0 = Check on validity (0 return is valid, anything else is not), 1=Create checknum */ RETURNS tinyint WITH EXECUTE AS CALLER AS BEGIN DECLARE @c tinyint DECLARE @len int DECLARE @m tinyint DECLARE @n varchar(255) DECLARE @i smallint /* Declare the Arrays */ DECLARE @d char(100) DECLARE @p char(80) DECLARE @inv char(10) SET @d='0123456789123406789523401789563401289567401239567859876043216598710432765982104387659321049876543210' SET @p='01234567891576283094580379614289160435279453126870428657390127938064157046913258' SET @inv='0432156789' /* Start Processing */ SET @c = 0 SET @n = Reverse(@NUMBER) SET @len = Len(@n) SET @i=0 WHILE @i < @len BEGIN IF @ACTION = 1 BEGIN /* Do the CalcChecksum */ SET @m = CAST(substring(@p,(((@i+1)%8)*10)+ CAST(substring(@n,@i+1,1) as tinyint)+1,1) as tinyint); END ELSE BEGIN /* Do the Checksum */ SET @m = CAST(substring(@p,((@i%8)*10)+ CAST(substring(@n,@i+1,1) as tinyint)+1,1) as tinyint); END SET @c = CAST(substring(@d,(@c*10+@m+1),1) as tinyint); SET @i=@i+1 END IF @ACTION = 1 BEGIN /* Do the CalcChecksum */ SET @c = CAST(substring(@inv,@c+1,1) as tinyint) END RETURN(@c) END;

Usage for checking the validity of a number:

SELECT dbo.checksumVerhoeff([number TO be checked],0) FROM [your TABLE]

Usage for creating a check digit for a number:

SELECT dbo.checksumVerhoeff([your number],1) FROM [your TABLE]

Tested with MS SQLServer 2005.

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