PCB Radiography Kindergarten, Continued.

This article is a continuation of “PCB Radiography Kindergarten”.

This was a second test-fire of that radiography system, using yet-another board where I already know where everything is (on account of having designed it.)

This time, the victim is a FG TRNG Mainboard:

Click for full resolution (Warning: 16MB)

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PCB Radiography Kindergarten.

Below is the result of test-firing a newly-installed miniature PCB radiography system.
The victim is a standard FG TRNG Analogue Unit:
Click for full resolution (Warning: 14MB)

Detail of left op amp, with bonding whiskers visible:

The substrate, aluminum RF shield frame, SMT contacts, vias, and the two layers of the PCB are clearly distinguishable. Likewise resistors (nearly transparent) [...]

“Finite Field Arithmetic.” Chapter 16A: The Miller-Rabin Test.

This article is part of a series of hands-on tutorials introducing FFA, or the Finite Field Arithmetic library. FFA differs from the typical “Open Sores” abomination, in that — rather than trusting the author blindly with their lives — prospective users are expected to read and fully understand every single line. In exactly the same [...]

“Finite Field Arithmetic.” Chapter 15: Greatest Common Divisor.

This article is part of a series of hands-on tutorials introducing FFA, or the Finite Field Arithmetic library. FFA differs from the typical “Open Sores” abomination, in that — rather than trusting the author blindly with their lives — prospective users are expected to read and fully understand every single line. In exactly the same [...]

“Finite Field Arithmetic” vs MPI.

Let’s compare the CPU cost of modular exponentiation performed on Chapter 14 FFA vs ye olde MPI.

V-press the MPI tree to mpi_second_cut.vpatch (or use diana_coman’s cleaned-up variant, this should not affect the result of the test.)

Now, replace the test_mpi.c example I provided, with the following MPIistic implementation of the Ch.14 example test tape:

koch.c:

#include "mpi.h"
#include <stdlib.h>
#include [...]

“Finite Field Arithmetic.” Chapter 14B: Barrett’s Modular Reduction. (Part 2 of 2.)

This article is part of a series of hands-on tutorials introducing FFA, or the Finite Field Arithmetic library. FFA differs from the typical “Open Sores” abomination, in that — rather than trusting the author blindly with their lives — prospective users are expected to read and fully understand every single line. In exactly the same [...]

“Finite Field Arithmetic.” Chapter 14A-Bis: Barrett’s Modular Reduction. (Physical Bounds Proof.)

This article is part of a series of hands-on tutorials introducing FFA, or the Finite Field Arithmetic library. FFA differs from the typical “Open Sores” abomination, in that — rather than trusting the author blindly with their lives — prospective users are expected to read and fully understand every single line. In exactly the same [...]

“Finite Field Arithmetic.” Chapter 14A: Barrett’s Modular Reduction. (Part 1 of 2)

This article is part of a series of hands-on tutorials introducing FFA, or the Finite Field Arithmetic library. FFA differs from the typical “Open Sores” abomination, in that — rather than trusting the author blindly with their lives — prospective users are expected to read and fully understand every single line. In exactly the same [...]

“Finite Field Arithmetic.” Chapter 13: “Width-Measure” and “Quiet Shifts.”

This article is part of a series of hands-on tutorials introducing FFA, or the Finite Field Arithmetic library. FFA differs from the typical “Open Sores” abomination, in that — rather than trusting the author blindly with their lives — prospective users are expected to read and fully understand every single line. In exactly the same [...]

“Finite Field Arithmetic.” Chapter 12B: Karatsuba Redux. (Part 2 of 2)

This article is part of a series of hands-on tutorials introducing FFA, or the Finite Field Arithmetic library. FFA differs from the typical “Open Sores” abomination, in that — rather than trusting the author blindly with their lives — prospective users are expected to read and fully understand every single line. In exactly the same [...]

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