---
title: "Linear Feedback Shift Registers for the Uninitiated, Part III: Multiplicative Inverse, and Blankinship's Algorithm"
url: https://daily.dev/posts/linear-feedback-shift-registers-for-the-uninitiated-part-iii-multiplicative-inverse-and-blankinsh-hjgk11gyo
source_url: https://www.embeddedrelated.com/showarticle/1086.php
type: article
source: "EmbeddedRelated"
published: 2026-05-31T07:48:24.555Z
updated: 2026-05-31T09:28:12.961Z
tags: ["python", "cryptography"]
reading_time: 11
upvotes: 0
comments: 0
language: en
---

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# Linear Feedback Shift Registers for the Uninitiated, Part III: Multiplicative Inverse, and Blankinship's Algorithm

**[EmbeddedRelated](https://daily.dev/sources/embeddedrelated)** · 11 min read · 0 upvotes · 0 comments

## Summary

A deep dive into computing multiplicative inverses in both modular integer arithmetic and finite fields GF(2)[x], using Blankinship's constant-space variant of the Extended Euclidean Algorithm. The post walks through the algorithm step by step with numeric tables, polynomial long division examples, and Python code snippets. It also explains the practical relevance: multiplicative inverses underpin RSA encryption and discrete logarithm tricks used in cryptographic systems and LFSR-based applications.

## Full article

daily.dev links to this article rather than hosting it. Read it at the original source: <https://www.embeddedrelated.com/showarticle/1086.php>

---

Tags: [#python](https://daily.dev/tags/python), [#cryptography](https://daily.dev/tags/cryptography)

[View this post on daily.dev](https://daily.dev/posts/linear-feedback-shift-registers-for-the-uninitiated-part-iii-multiplicative-inverse-and-blankinsh-hjgk11gyo)
