Human speed discrimination thresholds follow Weber's law over a large range of reference (i.e., pedestal) speeds, that is, the just-noticeable-difference in speed scales in proportion to theâ€¦ (More)

In this paper, we examine algebraic attacks on the Advanced Encryption Standard (AES, also known as Rijndael). We begin with a brief review of the history of AES, followed by a description of the AESâ€¦ (More)

Let Sp(x) âˆˆ Fp[x] be the polynomial whose zeros are the j-invariants of supersingular elliptic curves over Fp. Generalizing a construction of Atkin described in a recent paper by Kaneko and Zagierâ€¦ (More)

We describe methods for explicit computation of Galois groups of certain tamely ramified p-extensions. In the finite case this yields a short list of candidates for the Galois group. In the infiniteâ€¦ (More)

In our (2004), we introduced two games in the spirit of the St. Petersburg game, the Pasadena and Altadena games. As these latter games lack an expectation, we argued that they pose a paradox forâ€¦ (More)

We introduce a St. Petersburg-like game, which we call the â€˜Pasadena gameâ€™, in which we toss a coin until it lands heads for the first time. Your pay-offs grow without bound, and alternate in signâ€¦ (More)