Mis-correction and no-correction rates for error control

A method for decoding data with an error correction code, the method comprising:

• receiving, by a memory controller, a codeword from a memory device;
• generating, by the memory controller, a first number of syndrome symbols;
• generating a second number of modified syndrome symbols from the first number of syndrome symbols based on a potential correction of the codeword;
• and
• verifying an accuracy of the potential correction by extracting a sub-symbol of a modified syndrome symbol, a position of the modified syndrome symbol within the second number of modified syndrome symbols and a position of the sub-symbol within the modified syndrome symbol being pre-specified and verifying that the extracted sub-symbol is zero.

A computer program product for encoding data with an error correction code, the computer program product comprising:

• a tangible non-transitory storage medium readable by a processing circuit and storing instructions for execution by the processing circuit for performing a method comprising:
• receiving a first number of data symbols in a memory controller;
• receiving a second number of meta-data sub-symbols;
• generating a third number of check symbols using an error correction code (ECC), where the third number comprises a difference between a number of symbols in an ECC codeword and the first number;
• generating a mismatch vector from the check symbols and the meta-data sub-symbols, where a number of sub-symbols of the mismatch vector comprises the second number;
• generating an adjustment syndrome symbol by multiplying the mismatch vector by a matrix;
• generating adjusted check symbols responsive to the adjustment syndrome symbol, wherein a number of adjusted check symbols equals the third number;
• and
• generating a final codeword by concatenating the adjusted check symbols and the data symbols, wherein the final codeword comprises the number of symbols in the ECC codeword.

A computer program product for decoding data with an error correction code, the computer program product comprising:

• a tangible non-transitory storage medium readable by a processing circuit and storing instructions for execution by the processing circuit for performing a method comprising:
• receiving a codeword from a memory device;
• generating a first number of syndrome symbols;
• generating a second number of modified syndrome symbols from the first number of syndrome symbols responsive to a potential correction of the codeword;
• and
• verifying an accuracy of the potential correction by extracting a sub-symbol of a modified syndrome symbol, a position of the modified syndrome symbol within the second number of modified syndrome symbols and a position of the sub-symbol within the modified syndrome symbol being pre-specified and verifying that the extracted sub-symbol is zero.