4 papers
math.NT2026
Rational Base Descent: A Deterministic Algorithm for Factoring Structured Semiprimes
Sam Blake
We present a special-purpose algorithm for factoring semiprimes in which one prime factor satisfies for positive integers with …
cs.SC2026
A Generalisation of Goursat's Algorithm for Integration in Finite Terms
Sam Blake
We give a self-contained, modern exposition of Ãdouard Goursat's 1887 theorem on pseudo-elliptic integrals -- those integrals of the form $\int F(t)\,\d t/\sqrt{R(t)}$ with a…
cs.IT2026
On the Non-existence of Perfect Sequences with the Array Orthogonality Property
Sam Blake
For over three decades, the pursuit of perfect periodic autocorrelation sequences has been constrained by Mow's conjecture, which posits that no perfect sequence over an -phase…
cs.IT2024
Embedded Blockchains: A Synthesis of Blockchains, Spread Spectrum Watermarking, Perceptual Hashing & Digital Signatures
Sam Blake
In this paper we introduce a scheme for detecting manipulated audio and video. The scheme is a synthesis of blockchains, encrypted spread spectrum watermarks, perceptual hashing an…