In this paper, we propose several optimizations for the SFA construction algorithm, which greatly reduce the in-memory footprint and the processing steps required to construct an SFA. We introduce fingerprints as a space- and time-efficient way to represent SFA states. To compute fingerprints, we apply the Barrett reduction algorithm and accelerate it using recent additions to the x86 instruction set architecture. We exploit fingerprints to introduce hashing for further optimizations. Our parallel SFA construction algorithm is nonblocking and utilizes instruction-level, data-level, and task-level parallelism of coarse-, medium- and fine-grained granularity. We adapt static workload distributions and align the SFA data-structures with the constraints of multicore memory hierarchies, to increase the locality of memory accesses and facilitate HW prefetching. We conduct experiments on the PROSITE protein database for FAs of up to 702 FA states to evaluate performance and effectiveness of our proposed optimizations. Evaluations have been conducted on a 4 CPU (64 cores) AMD Opteron 6378 system and a 2 CPU (28 cores, 2 hyperthreads per core) Intel Xeon E5-2697 v3 system. The observed speedups over the sequential baseline algorithm are up to 118541x on the AMD system and 2113968x on the Intel system.
Regular expressions allow the specification of infinite sets of input strings. Converting a regular expression to a DFA for DFA membership tests is a standard technique to perform regular expression matching. The specification of virus signatures in intrusion prevention systems @cite_32 @cite_9 @cite_20 and the specification of DNA sequences @cite_12 @cite_3 constitute recent applications of regular expression matching with DFAs.
@cite_9 @cite_32 @cite_3 @cite_20 @cite_12
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Regular expressions are a concise yet expressive language for expressing patterns. For instance, in networked software, they are used for input validation and intrusion detection. Yet some widely deployed regular expression matchers based on backtracking are themselves vulnerable to denial-of-service attacks, since their runtime can be exponential for certain input strings. This paper presents a static analysis for detecting such vulnerable regular expressions. The running time of the analysis compares favourably with tools based on fuzzing, that is, randomly generating inputs and measuring how long matching them takes. Unlike fuzzers, the analysis pinpoints the source of the vulnerability and generates possible malicious inputs for programmers to use in security testing. Moreover, the analysis has a firm theoretical foundation in abstract machines. Testing the analysis on two large repositories of regular expressions shows that the analysis is able to find significant numbers of vulnerable regular expressions in a matter of seconds. This article proposes an enhanced differential fault analysis (DFA) method named as fault-propagation pattern-based DFA (FPP-DFA). The main idea of FPP-DFA is using the FPP of the ciphertext difference to predict the fault location and the fault-propagation path. It shows that FPP-DFA is very effective on SPN structure block ciphers using bitwise permutation, which is applied to two block ciphers. The first is PRESENT with the substitution-permutation sequence. With the fault model of injecting one nibble fault into the r-2nd round, on average 8 and 16 faults can reduce the key search space of PRESENT-80 128 to 214.7 and 221.1, respectively. The second is PRINTcipher with the permutation-substitution sequence. For the first time, it shows that although the permutation of PRINTcipher is secret key dependent, FPP-DFA still works well on it. With the fault model of injecting one nibble fault into the r-2nd round, 12 and 24 effective faults can reduce the key search space of PRINTcipher-48 96 to 213.7 and 222.8, respectively. We present techniques to parallelize membership tests for Deterministic Finite Automata (DFAs). Our method searches arbitrary regular expressions by matching multiple bytes in parallel using speculation. We partition the input string into chunks, match chunks in parallel, and combine the matching results. Our parallel matching algorithm exploits structural DFA properties to minimize the speculative overhead. Unlike previous approaches, our speculation is failure-free, i.e., (1) sequential semantics are maintained, and (2) speed-downs are avoided altogether. On architectures with a SIMD gather-operation for indexed memory loads, our matching operation is fully vectorized. The proposed load-balancing scheme uses an off-line profiling step to determine the matching capacity of each participating processor. Based on matching capacities, DFA matches are load-balanced on inhomogeneous parallel architectures such as cloud computing environments. We evaluated our speculative DFA membership test for a representative set of benchmarks from the Perl-compatible Regular Expression (PCRE) library and the PROSITE protein database. Evaluation was conducted on a 4 CPU (40 cores) shared-memory node of the Intel Academic Program Manycore Testing Lab (Intel MTL), on the Intel AVX2 SDE simulator for 8-way fully vectorized SIMD execution, and on a 20-node (288 cores) cluster on the Amazon EC2 computing cloud. Obtained speedups are on the order of @math O 1 + | P | - 1 | Q | · ? , where @math | P | denotes the number of processors or SIMD units, @math | Q | denotes the number of DFA states, and @math 0 < ? ≤ 1 represents a statically computed DFA property. For all observed cases, we found that @math 0.02 < ? < 0.47 . Actual speedups range from 2.3 @math × to 38.8 @math × for up to 512 DFA states for PCRE, and between 1.3 @math × and 19.9 @math × for up to 1,288 DFA states for PROSITE on a 40-core MTL node. Speedups on the EC2 computing cloud range from 5.0 @math × to 65.8 @math × for PCRE, and from 5.0 @math × to 138.5 @math × for PROSITE. Speedups of our C-based DFA matcher over the Perl-based ScanProsite scan tool range from 559.3 @math × to 15079.7 @math × on a 40-core MTL node. We show the scalability of our approach for input-sizes of up to 10 GB. Multi-pattern matching is a key technique for implementing network security applications such as Network Intrusion Detection Protection Systems (NIDS NIPSes) where every packet is inspected against predefined attack signatures written in regular expressions (regexes). To this end, Deterministic Finite Automaton (DFA) is widely used for multi-regex matching, but existing DFAbased researches have claimed high throughput at an expenses of extremely high memory cost. In this paper, we propose a parallel architecture of DFA called Parallel DFA (PDFA), using multiple flow aggregations to increase the throughput with nearly no extra memory cost. The basic idea is to selectively store the DFA in multiple memory modules which can be accessed in parallel and to explore the potential parallelism. The memory cost of our system in both the average cases and the worst cases is analyzed, optimized and evaluated by numerical results. The evaluation shows that we obtain an average speedup of about 0.5k to 0.7k where k is the number of parallel memory modules under our synthetic trace and compressed real trace in a statistical average case, compared with the traditional DFA-based matching approaches.