Published: September 1, 2018
Citation: Information Processing Letters vol. 137, (September 2018) pp. 1-5
Author(s)
Andrea Viscontia (University of Milano), Chiara Schiavo (University of Milano), Rene Peralta (NIST)
Minimizing the Boolean circuit implementation of a given cryptographic function is an important issue. A number of papers only consider cancellation-free straight-line programs for producing small circuits over GF(2). Cancellation is allowed by the Boyar–Peralta (BP) heuristic. This yields a valuable tool for practical applications such as building fast software and low-power circuits for cryptographic applications, e.g. AES, HMAC-SHA-1, PRESENT, GOST, and so on. However, the BP heuristic does not take into account the matrix density. In a dense linear system the rows can be computed by adding or removing a few elements from a “common path” that is “close” to almost all rows. The new heuristic described in this paper will merge the idea of “cancellation” and “common path”. An extensive testing activity has been performed. Experimental results of the new and the BP heuristic were compared. They show that the Boyar–Peralta results are not optimal on dense systems.
Minimizing the Boolean circuit implementation of a given cryptographic function is an important issue. A number of papers only consider cancellation-free straight-line programs for producing small circuits over GF(2). Cancellation is allowed by the Boyar–Peralta (BP) heuristic. This yields a...
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Minimizing the Boolean circuit implementation of a given cryptographic function is an important issue. A number of papers only consider cancellation-free straight-line programs for producing small circuits over GF(2). Cancellation is allowed by the Boyar–Peralta (BP) heuristic. This yields a valuable tool for practical applications such as building fast software and low-power circuits for cryptographic applications, e.g. AES, HMAC-SHA-1, PRESENT, GOST, and so on. However, the BP heuristic does not take into account the matrix density. In a dense linear system the rows can be computed by adding or removing a few elements from a “common path” that is “close” to almost all rows. The new heuristic described in this paper will merge the idea of “cancellation” and “common path”. An extensive testing activity has been performed. Experimental results of the new and the BP heuristic were compared. They show that the Boyar–Peralta results are not optimal on dense systems.
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Keywords
gate complexity; linear systems; dense matrices; XOR gates; cryptography
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