The present disclosure provides a modified type of MOD 10 algorithm for validating a multi-digit number. Such MOD 10 algorithm may also be referred to as modified Luhn check or modifies Wagner check. The proposed modified Luhn check extends range of the Luhn check from 1 to 10 while preserving integrity of the multi-digit number when the multi-digit number is manually captured or typed. Also, by the proposed method, 9 times more PANs may be introduced without increasing the length of the PAN.
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WAGNER, KIM; LAI, CHACKAN; and HURRY, SIMON, "System And Method For Validating A Multi-Digit Number", Technical Disclosure Commons, (July 22, 2020)