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FOOL SCHOOL
Well, the latter point is easily dealt with. It's extremely rare that this happens and it's the bank's fault -- and that makes them liable if any of your money is stolen. Which means they're going to make damn sure their software doesn't go wrong again! Your only task is to take some sensible precautions such as making sure no-one knows your password. More on this later but let's deal with the technical stuff first by having a look at what happens in a "Secure Session" with your bank.
A Typical Secure Session
There are various ways of setting up a secure connection between you and your bank, but they are different ways of achieving the same thing. One of them is SSL, or "Secure Sockets Layer". Here is roughly what actually happens under SSL.
So What?
This process is ridiculously secure. The part with public and private keys works because certain mathematical operations are easy to do one way, but practically impossible to do in reverse. The public key is created from the private key, but you can't go back the other way. Even if you overhear everything that's transmitted, it's useless without the private key, which is never transmitted at all. The part where both sides are using the same key depends for its security on the length of the key (say, "128 bits"), the system used (such as Triple DES), and the fact that the key is secret and is only used once. Again, to a listener, nothing makes sense.
These systems are not infinitely secure. Research mathematicians keep looking for ways to crack them, and by doing so they find out exactly how secure they are. But, when mathematicians say a thing is "very difficult", or "practically impossible", they really, really mean it.
Enough of Your Computer -- Now You
Encryption does nothing except prevent eavesdropping. It builds a virtually indestructible steel pipe between two computers. None of it proves that the person clicking your mouse is you.
When you open an online account, the bank asks you for various bits of information, things that you can be expected to know, but which can't easily be guessed. Typically, they include place of birth, mother's maiden name, and so forth. So, after setting up your secure connection, the bank's computer asks you a few questions from its list. It checks that the answers are the same as you gave before, and if they are, it assumes that you're you.
You are expected to remember all the answers and keep them to yourself. You can make the system more secure by making up funny answers to all the factual questions rather than using the real ones, and you can also make it totally useless by writing all the answers down in your diary on a page marked "Banking." So, at the end of the day, your security is basically under your control.
If you take the trouble to read the agreement when you open an account, you may see that, if the codes are cracked, the bank pays. If you write down your passwords in a letter to your lover and he steals your money, that's your fault, and you pay. The reason they write the contract that way is that the cracking almost certainly won't happen, but the telling very often does.
The most important thing to look for when you are accessing your account is the little padlock in the bottom right-hand corner of your screen. This tells you that the encryption mechanism is in operation. The second most important thing is to log out of your account when you have finished. And never, ever walk away from your computer whilst your account is 'open'.
Recently, we've seen a rash of e-mail scams as well. How to avoid these are discussed in this article.
A Cautionary Tale
A man has an argument with his wife. On a cold, sad, winter's night, she decides to take revenge. She sits down at his computer and summons up his savings account. She enters his account number and sort code, which are in his desk diary. She knows where he was born (at the hospital up the road). She guesses that his "memorable date" is the date of their marriage, and that the four-digit PIN is the one he's told her, and which he uses for everything else as well. She knows what his first school and his last school were (both the same as hers). She knows his mother's maiden name perfectly well. She knows him well enough to guess that his password is "DamonHill." She transfers all his savings into her own account with the same bank. She leaves a sticky note on the screen, saying 'Ha, ha, ha". Five minutes later she departs for Bali.
Forging a signature would have been easier to detect, would probably have taken longer, and almost certainly would have required more luck, planning, and nerve.
Conclusions
You should probably make sure that your browser is up-to date and supports 128-bit encryption, and you should probably download anything the bank suggests you should. But the conclusion is that encryption is not something to worry about in online banking. What you should worry about is this: banking security systems are there to protect the bank. The major difference between ordinary banking and internet banking is that the Internet puts responsibility, as well as power, squarely with you.
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