A beginner’s guide to Fully Homomorphic Encryption (FHE)

For decades, businesses across the globe have been faced with a fundamental dilemma: how can they extract valuable insights from data while upholding the strictest standards of privacy and security?

From training artificial intelligence models to conducting financial analysis and collaborating on life-saving research, the value found in processing vast amounts of information is greater than ever.

How can you gain insights from your most sensitive data, while guaranteeing its privacy and security?

The answer lies in a revolutionary cryptographic technology known as Fully Homomorphic Encryption (FHE).

What is FHE? 

Fully Homomorphic Encryption is a cryptosystem that enables computations to be performed directly on encrypted data without ever needing to decrypt it. This ensures end-to-end data privacy and security throughout the entire data lifecycle: at rest, in transit and during processing

The simplest way to understand this is with the analogy of a few secure, locked boxes. Inside the boxes are numbers (your data), and you know exactly what they are — because you locked the boxes yourself. With FHE, you can send these locked boxes to a third-party service, ask it to add up all the numbers inside, and receive the correct total back.

The service performs the computation without ever unlocking the boxes or seeing your data. The service sends the result back to you in another locked box that only you can open.. At no point were the contents of your boxes or the result exposed to anyone but you.

 How does FHE work? 

The power of FHE relies on advanced mathematics. In practice, most constructions are based on the hardness problems of Learning with Errors (LWE) and Ring Learning with Errors (RLWE), which are part of a broader field of cryptography known as lattice-based cryptography.

FHE is an extension of Somewhat Homomorphic Encryption (SHE) which allows addition and multiplication operations to be performed on encrypted data. However, only up to a limited number of times, since each homomorphic operation adds ‘noise’ into the ciphertext.

At a certain point, further operations cannot be performed on the encrypted data due to the risk of noise overflowing into the message thereby corrupting it and causing decryption to produce the wrong value.

To overcome this limitation, Gentry introduced a technique called bootstrapping which is a method to refresh the noise level by homomorphically evaluating its own decryption circuit. Once refreshed, the ciphertext can safely undergo further computations. This breakthrough transformed SHE into FHE, enabling an arbritary number of operations to be performed on encrypted data while still preserving correctness.

The benefits of FHE across sectors

FHE removes the need to choose between data utility and privacy, unlocking significant commercial benefits and a host of new applications across various sectors.

Security and compliance

Traditional encryption schemes protect data when it is stored (at rest) such as AES, or being transmitted (in transit) such as TLS.

However, data is most vulnerable when it is being processed (“in use”), as it typically must be decrypted. FHE closes this critical security gap by ensuring data remains encrypted throughout its entire lifecycle. This helps businesses meet the stringent requirements of data privacy regulations like GDPR, HIPAA, or COPPA which mandate privacy by design.

Because the data never needs to be decrypted during processing, it remains secure from unauthorised access, even if the computing environment has been compromised.

Secure collaboration

FHE enables multiple parties to collaborate on pooled datasets without revealing their data to each other. For example:

Innovate with confidence

FHE allows businesses to leverage powerful technologies such as cloud services  and AI with greater confidence. For instance:

From potential to practicality – FHE acceleration hardware

For a long time, the widespread application of FHE has been limited by its immense computational demands. Performing computations on encrypted data is inherently slower and more resource-intensive than on unencrypted data, which made it impractical for many real-world, time-sensitive use cases.

However, this is no longer the case. New technologies, like the specialised hardware developed by us at Optalysys, are designed to accelerate FHE computations by orders of magnitude.

This breakthrough in performance is what is finally making FHE a practical, scalable, and commercially viable tool, ready to be utilised by businesses to build a more secure, private, and innovative digital future.


At Optalysys we’re developing the future of encrypted blockchain through pioneering the use of optical computing to accelerate Fully Homomorphic Encryption. Find out more about LightLocker Node and how we can accelerate your confidential blockchain use case → 


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Webinar Replay
Building a better web on encrypted blockchain
Below are pictures and names/titles of the speakers:
Nick New - CEO, Optalysys
Dimitar Jetchev,Principal Software Engineer, Microsoft
Joseph Wilson,
Head of Strategic Innovation, Optalysys

Building a Better Web on Confidential Blockchain

Catch up on our session with Dimitar Jetchev (Microsoft), Nick New and Joe Wilson (Optalysys) all about confidentiality on blockchain and how FHE stacks up against, or can be used with, ZKPs.