Breaking RSA with a Quantum Computer

A group of Chinese researchers have just published a paper claiming that they can—although they have not yet done so—break 2048-bit RSA. This is something to take seriously. It might not be correct, but it’s not obviously wrong.

We have long known from Shor’s algorithm that factoring with a quantum computer is easy. But it takes a big quantum computer, on the orders of millions of qbits, to factor anything resembling the key sizes we use today. What the researchers have done is combine classical lattice reduction factoring techniques with a quantum approximate optimization algorithm. This means that they only need a quantum computer with 372 qbits, which is well within what’s possible today. (The IBM Osprey is a 433-qbit quantum computer, for example. Others are on their way as well.)

The Chinese group didn’t have that large a quantum computer to work with. They were able to factor 48-bit numbers using a 10-qbit quantum computer. And while there are always potential problems when scaling something like this up by a factor of 50, there are no obvious barriers.

Honestly, most of the paper is over my head—both the lattice-reduction math and the quantum physics. And there’s the nagging question of why the Chinese government didn’t classify this research. But…wow…maybe…and yikes! Or not.

Factoring integers with sublinear resources on a superconducting quantum processor

Abstract: Shor’s algorithm has seriously challenged information security based on public key cryptosystems. However, to break the widely used RSA-2048 scheme, one needs millions of physical qubits, which is far beyond current technical capabilities. Here, we report a universal quantum algorithm for integer factorization by combining the classical lattice reduction with a quantum approximate optimization algorithm (QAOA). The number of qubits required is O(logN/loglogN ), which is sublinear in the bit length of the integer N , making it the most qubit-saving factorization algorithm to date. We demonstrate the algorithm experimentally by factoring integers up to 48 bits with 10 superconducting qubits, the largest integer factored on a quantum device. We estimate that a quantum circuit with 372 physical qubits and a depth of thousands is necessary to challenge RSA-2048 using our algorithm. Our study shows great promise in expediting the application of current noisy quantum computers, and paves the way to factor large integers of realistic cryptographic significance.

In email, Roger Grimes told me: “Apparently what happened is another guy who had previously announced he was able to break traditional asymmetric encryption using classical computers…but reviewers found a flaw in his algorithm and that guy had to retract his paper. But this Chinese team realized that the step that killed the whole thing could be solved by small quantum computers. So they tested and it worked.”

EDITED TO ADD: One of the issues with the algorithm is that it relies on a recent factoring paper by Peter Schnorr. It’s a controversial paper; and despite the “this destroys the RSA cryptosystem” claim in the abstract, it does nothing of the sort. Schnorr’s algorithm works well with smaller moduli—around the same order as ones the Chinese group has tested—but falls apart at larger sizes. At this point, nobody understands why. The Chinese paper claims that their quantum techniques get around this limitation (I think that’s the details behind the Grimes comment) but don’t give any details—and they haven’t tested it with larger moduli. So if it’s true that the Chinese paper depends on this Schnorr technique that doesn’t scale, the techniques in this Chinese paper won’t scale, either. (On the other hand, if it does scale then I think it also breaks a bunch of lattice-based public-key cryptosystems.)

I am much less worried that this technique will work now. But this is something the IBM quantum computing people can test right now.

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Start the New Year Right With This 3-Step Digital Detox

Pledging to follow healthier habits is consistently the most popular new year’s resolution. That January 1st promise looks different to everyone: snacking less often, going to the gym more often, drinking more water, drinking less soda, etc. This year, instead of a juice cleanse subscription, opt for a healthier habit that’s not an unappetizing shade of green: follow this digital detox, instead! In three easy steps, you can make great strides in improving your digital wellness. 

1. Update

There are various aspects of your digital habits that you should consider updating for a more private and safer online life. For starters, update your passwords. Do you reuse the same password for multiple online accounts? Doing so puts your personally identifiable information (PII) at great risk. For example, if a business with which you have an online shopping account is breached by a cybercriminal, your login and password combination could make it on the dark web, through no fault of your own. Then, through a brute force attack, a criminal could use that same password and username combo to walk into your banking or tax filing accounts.   

Remembering unique, complicated passwords and passphrases for your dozens of online accounts would be impossible. Luckily, there’s software that remembers them for you! It’s called a password manager, which acts as a vault for all your login information. Just remember one master password, and you can be confident in the security of your accounts and never have to deal with the hassle of forgetting passwords. 

Another aspect of updating you should adopt in 2023 is making an effort to always upgrade to the latest software updates on all your devices. The easiest way to do this is to turn on automatic updates. From there, you don’t need to take any further action! Apps and operating systems (like Apple, Android, and Windows) often release updates to patch security vulnerabilities. When you run outdated software, there’s a chance a cybercriminal could take advantage of that security gap. 

Finally, make sure that you keep updated on the latest security headlines. Consider setting up news alerts to notify you when a breach occurs at a company that you frequent or have an account with. Speed is often key in making sure that your information remains safe, so it’s best practice to have your finger on the pulse on the security news of the day. 

2. Connect

A new year digital detox can be a whole family affair. Connect with your family, anyone connected to your home network, and your elderly relatives to get everyone on the same page with security best practices. Here are some common online security snags people of all ages encounter: 

Social media oversharing.

Everyone has an oversharer on their newsfeed. Alert your family members of the dangers of posting too much about their personal life. When someone takes those “get to know you” quizzes and posts their answers, cybercriminals can use that post to take educated guesses at your passwords. Additionally, social engineers can tailor social media scams to specific people in order to increase the chances of tricking someone into sending money or sharing valuable personal or banking details. 

Falling for phishing.

While spam filters catch a lot of phishing emails, phishers are getting smarter by the day and are making their attempts more and more believable. Connect with your loved ones and make sure they know how to recognize phishing emails, texts, and social media direct messages. Telltale signs of a phishing message include:  

  • Typos and grammar mistakes 
  • Over-the-top language that makes you feel very angry, sad, or excited 
  • Harsh consequences for not replying within a short timeframe 
  • Requests for passwords or Social Security Numbers 
  • Blurry logos 

If you’re ever unsure if a message is a phishing attempt, the best course of action is to just delete it. If the “sender” is a well-known institution, follow up with a phone call using the official customer service number listed on their website. The phisher may also claim to be someone you know personally. In that case, give the loved one in question a phone call. It’s a good excuse to reconnect and have a nice conversation! 

Visiting unsafe sites.

In the quest for free streams of the latest new show or movie, people often encounter unsafe sites that hide malware, spyware or other types malicious links and programs. Some types of malware can jump from one device to others connected to the same home Wi-Fi network. That’s why it’s important to make sure everyone under your roof practices excellent digital security habits. One wrong click could sink an entire household. Consider signing up your family for a safe browsing extension that can notify you when you stray onto a risky site. So, instead of putting your device at risk during movie night, connect with your friends or loved ones over one copy of a safely and officially purchased version. 

3. Balance

As with any new health regimen, immediately zooming from zero to a hundred will likely be overwhelming and result in failure. The same goes for adopting new digital safety habits. If you try to do too much at once, all the security measures you put in place will likely get in the way of your daily online activities. The more inconvenient it is, the more likely you may be to cut corners; thus, negating all the progress you’ve made. 

Being cybersafe doesn’t mean you can’t still enjoy your connected devices to the fullest. It just means that you may need to act with more intention and slow down before volunteering personal details online or clicking on links.  

Supplement Your Digital Detox With McAfee+ 

To supplement your digital detox, consider signing up for McAfee+ Ultimate to make 2023 the year for a safer online you. McAfee+ Ultimate includes all the tools you need to live your best online life safely and privately, including a password manager, web protection, unlimited VPN and antivirus, and $1 million in identity theft coverage and restoration for peace of mind. 

Cheers to a digitally smart 2023! 

The post Start the New Year Right With This 3-Step Digital Detox appeared first on McAfee Blog.

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Friday Squid Blogging: Grounded Fishing Boat Carrying 16,000 Pounds of Squid

Rough seas are hampering efforts to salvage the boat:

The Speranza Marie, carrying 16,000 pounds of squid and some 1,000 gallons of diesel fuel, hit the shoreline near Chinese Harbor at about 2 a.m. on Dec. 15.

Six crew members were on board, and all were rescued without injury by another fishing boat.

[…]

However, large swells caused by the recent storm caused the Speranza Marie to pull loose from it anchored position and drift about 100 yards from from its original grounded location in Chinese Harbor, according to the Coast Guard.

As usual, you can also use this squid post to talk about the security stories in the news that I haven’t covered.

Read my blog posting guidelines here.

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Recovering Smartphone Voice from the Accelerometer

Yet another smartphone side-channel attack: “EarSpy: Spying Caller Speech and Identity through Tiny Vibrations of Smartphone Ear Speakers“:

Abstract: Eavesdropping from the user’s smartphone is a well-known threat to the user’s safety and privacy. Existing studies show that loudspeaker reverberation can inject speech into motion sensor readings, leading to speech eavesdropping. While more devastating attacks on ear speakers, which produce much smaller scale vibrations, were believed impossible to eavesdrop with zero-permission motion sensors. In this work, we revisit this important line of reach. We explore recent trends in smartphone manufacturers that include extra/powerful speakers in place of small ear speakers, and demonstrate the feasibility of using motion sensors to capture such tiny speech vibrations. We investigate the impacts of these new ear speakers on built-in motion sensors and examine the potential to elicit private speech information from the minute vibrations. Our designed system EarSpy can successfully detect word regions, time, and frequency domain features and generate a spectrogram for each word region. We train and test the extracted data using classical machine learning algorithms and convolutional neural networks. We found up to 98.66% accuracy in gender detection, 92.6% detection in speaker detection, and 56.42% detection in digit detection (which is 5X more significant than the random selection (10%)). Our result unveils the potential threat of eavesdropping on phone conversations from ear speakers using motion sensors.

It’s not great, but it’s an impressive start.

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