In a second example, the faulty output from the stuck-at model can be compared to a previously measured output from expression data, in order to identify which genes are potentially faulty.
The AIF is equivalent to introduce a SEU in the final output, so the faulty output for AIF can be expressed as y f = x 0 * h 0 + x 1 * h 1 + x 2 * h 2 + ⋯ + x L - 1 * h L - 1 ± 2 q, (8).
In addition, the existence of any fault in the input lines of the adder modules can be identified by low-cost parity checking error-detection approach, and a faulty module can be localized by comparing the faulty output from the first computation with the fault-free output from the recomputation.
C 2 = f 1 ¯ + f 2 ¯ ⋅ f 1 + f 3 ¯ ⋯ f k - 1 ¯ + f k ¯ We now form a new CNF S1 = S · C1 · C. The resulting All-SAT on S1 is a list of all non-redundant single stuck-at faults and their faulty output.
In the presence of a particular fault, the problem is determining whether a selection of drugs can rectify the circuit, i.e. change the faulty output to the correct output.
To retrieve K 31, from the first phase of attack which retrieves K 32, we have 24 nibbles of the faulty output of the 30th round's S-box layer (B 30∗ N j ) on average, and we require extra 24 nibbles of the faulty output of the 30th round's S-box layer to obtain S 30 and K 31.
Y C is the correct output and Y is the faulty output of the main FIR filter, and Y = Y C + E. In [29], E is the possible arithmetic errors modeled as 2±j, where j = 0, 1,..., ω y - 1, (ω y is the length of Y).
If the input vector < abc > = 100, the good circuit output (true response) and faulty output would differ.
In this table, the first three columns show the affected net, the stuck-at value, and the faulty output, respectively.
In this method, we find all single stuck-at faults which are non-redundant, as well as the faulty outputs that they generate.
