Table 4

Syndromes for alternative codes
Generator Error Position Equivalence
type p c1 c2 c3 c4 c5 p + classes
10β00 + β β0 1α 1α 0β 0β αα 0β {c5}
+ α α0 β1 β1 0α 0α 11 0α {c1,c2}
+1 10 αβ αβ 01 01 ββ 01 {c3,c4,p + }
1β010 + β β0 α1 1α 1α 0β 11 0β {c1},{c5}
+ α α0 1β β1 β1 0α ββ 0α {c2,c3}
+1 10 βα αβ αβ 01 αα 01 {c4,p + }

All syndromes caused by a single error in a block of five code letters (c1c2c3c4c5) and two parity letters (pp + ) for codes with the specified generator. Each row corresponds to a specific type of error at the given position of the code word and the table entries are the values of the relevant elements of the syndrome corresponding to the upstream and downstream parity checks for the block for each error type. The error type +0 is not shown since it represents no error. The equivalence classes are listed separately and do not correspond to specific error types. Note that pis also p + for the preceding block.

Massingham and Goldman

Massingham and Goldman BMC Bioinformatics 2012 13:145   doi:10.1186/1471-2105-13-145

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