Damm algorithm: Difference between revisions

Revision as of 12:50, 26 February 2013

Revision as of 14:39, 28 July 2013

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== Algorithm ==

The validity of a digit sequence containing a check digit is defined over a quasigroup. A quasigroup table ready for use can be taken from Damm's dissertation (pages 98, 106, 111).<ref name=dhmd /> It is useful to rearrangeuse thea rowstotally andanti-symmetric toquasigroup change the entries correspondingly so thatwhere each diagonal entry is 0, because it simplifies the check digit calculation.

=== Validating a number against the included check digit ===

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== Example ==

The totally anti-symmetric quasigroup is taken from Damm's doctoral dissertation page 111.<ref name=dhmd /> It is modified by rearranging the columns and changing the entries correspondingly. asThis describeddoes abovenot work on all cases.

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