"offer greater security" is correct and can be used in written English.
You can use this phrase in sentences such as "The new security protocol offers greater security than the previous version."
"Set up a facility for payment by credit card – credit card payments offer greater security – and think about offering discounts, for example, 1% for early payments, while always balancing the extent of the price cut with the benefits of an improved cash flow".
Q. Do United Parcel Service and Federal Express offer greater security?
The aim was to offer greater security to what would otherwise have been high-risk ventures for private firms.
And it turns out that a relatively short list of passwords provides access to 1% of accounts on many sites and systems.Fingerprint scanners and devices that generate time-specific codes offer greater security, but they require hardware.
Decentralized electricity generation by renewable energy sources offer greater security of supply for consumers while respecting the environment.
Nor would they offer greater security for the millions of Americans who live in fear of the future and wonder how they'll make it through today.
For one thing, it offers greater security of supply than oil and gas.
(U3 argues that this hardware-software solution offers greater security than Ceedo's — for example, you can protect your flash drive with a password).
Baines offers a greater attacking threat with his brilliance at set-pieces and with his marauding left-flank runs but Cole offers greater security in defence.
Albeit, he says they're both doing tokenization of data, whereas NuCypher reckons proxy re-encryption technology offers greater security for certain types of data.
He also felt reassured that "if things had not worked out with the business, I still had the option of going back to academia, so it offered greater security".
