The Twofold Truth in Shin Sect

Breaking the Shin-Shin-Rhee remotely keyed encryption schemes

Remotely keyed encryption (RKE) schemes provide fast symmetric encryption and decryption using a small-bandwidth security module and a powerful host. Such schemes keep the key inside the security module to prevent key compromise. Shin, Shin, and Rhee proposed a length-preserving as well as a length-increasing RKE scheme that both use only a single round of interaction between host and security ...

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"Mad Laughter" in Federman's The Twofold Vibration

In his article "'Mad Laughter' in Federman's The Twofold Vibration" Menachem Feuer discusses one of the central questions in the debate over post-Holocaust representation with regard to comedy and laughter. Several authors and filmmakers including Mel Brooks, Lina Wertmüller, Roberto Benigni, Michael Chabon, or Jonathan Safran Foer employ comedy in work. Although the books and films of these au...

Twofold fast arithmetic

Can we assure math computations by automatic verifying floating-point accuracy? We define fast arithmetic (based on Dekker [1]) over twofold approximations z ≈ z0 + z1, such that z0 is standard result and z1 assesses inaccuracy ∆z0 = z − z0. We propose on-fly tracking z1, detecting if ∆z0 appears too high. We believe permanent tracking is worth its cost. C++ test code for Intel AVX available vi...

Twofold exp and log

This article is about twofold arithmetic [1, 2]. Here I introduce algorithms and experimental code for twofold variant of C/C++ standard functions exp() and log(), and expm1() and log1p(). Twofold function y0 + y1 ≈ f(x0 + x1) is nearly 2x-precise so can assess accuracy of standard one. Performance allows assessing on-fly: twofold texp() over double is ~10x times faster than expq() by GNU quadm...