## “Finite Field Arithmetic.” Chapter 18C: Peh School: Generation of Cryptographic Primes.

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 18B: "Cutouts" in Peh.

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 18A: Subroutines in Peh.

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 17: Introduction to Peh.

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 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 […]

by Stanislav 1 Comment

## “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: […]

## “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 […]