“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 [...]

“Finite Field Arithmetic.” Chapter 12A: Karatsuba Redux. (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” Regrind into Keccak-V Format.

The long-promised Keccak-V regrind of the current FFA codebase appears below:

Title
VPatch
Seal

“Chapter 1: Genesis.”
ffa_ch1_genesis.kv.vpatch
ffa_ch1_genesis.kv.vpatch.asciilifeform.sig

“Chapter 2: Logical and Bitwise Operations.”
ffa_ch2_logicals.kv.vpatch
ffa_ch2_logicals.kv.vpatch.asciilifeform.sig

“Chapter 3: Shifts.”
ffa_ch3_shifts.kv.vpatch
ffa_ch3_shifts.kv.vpatch.asciilifeform.sig

“Chapter 4: Interlude: FFACalc.”
ffa_ch4_ffacalc.kv.vpatch
ffa_ch4_ffacalc.kv.vpatch.asciilifeform.sig

“Chapter 5: “Egyptological” Multiplication and Division.”
ffa_ch5_egypt.kv.vpatch
ffa_ch5_egypt.kv.vpatch.asciilifeform.sig

Chapter 6: “Geological” RSA.
ffa_ch6_simplest_rsa.kv.vpatch
ffa_ch6_simplest_rsa.kv.vpatch.asciilifeform.sig

Chapter 7: “Turbo Egyptians.”
ffa_ch7_turbo_egyptians.kv.vpatch
ffa_ch7_turbo_egyptians.kv.vpatch.asciilifeform.sig

Chapter 8: Interlude: Randomism.
ffa_ch8_randomism.kv.vpatch
ffa_ch8_randomism.kv.vpatch.asciilifeform.sig

Chapter 9: “Exodus from Egypt” with Comba’s Algorithm.
ffa_ch9_exodus.kv.vpatch
ffa_ch9_exodus.kv.vpatch.asciilifeform.sig

Chapter 10: Introducing Karatsuba’s Multiplication.
ffa_ch10_karatsuba.kv.vpatch
ffa_ch10_karatsuba.kv.vpatch.asciilifeform.sig

Chapter 11: Tuning and Unified API.
ffa_ch11_tuning_and_api.kv.vpatch
ffa_ch11_tuning_and_api.kv.vpatch.asciilifeform.sig

These, and all [...]

Hypertext Concordance for “Finite Field Arithmetic.”

In addition to phf’s excellent vpatch viewer, there will now be a page, generated via gnathtml, to help the interested reader to explore the moving parts of FFA.

Click here to view Ch.11, with ffa_calc.adb as the root node.

All subsequent chapters will also be offered in this reader-friendly format, in addition to the usual raw vpatch [...]

Linux. (1991 – 2018)

Linux. ( 1991 — 2018. )

No disrespect is intended for Stepan Mitrofanovich Gudimov (1913 – 1941), died heroically in aerial ramming maneuver… whose beautiful tomb I stole here. But IMHO a dead project of Linux’s stature deserves a tomb, even if only an imaginary and stolen one. Especially a stolen project…

“Finite Field Arithmetic.” Chapter 11: Tuning and Unified API.

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 10: Introducing Karatsuba’s Multiplication.

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 9: “Exodus from Egypt” with Comba’s Algorithm.

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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