It's been over a month since I've lost my HTC Sensation smartphone. I wasn't too overwhelmed with grief, however, because it was actually just a piece of high-tech plastic. Still, I had to spend some time changing my passwords for all the applications such as e-bank, data storage facilities etc. etc. And yes, I also miss my Ibiza bikini pics that I have not backed-up and that somebody else can see now. That's the most annoying part.
All of these could not have happened if I were cautious and had used a security key to protect my phone's content. I have never ever done this, because I am too lazy to memorize the key, and the need to enter it every time I want to access your phone really irritates me.
However, it is better than changing passwords and sharing the photos of my not-that-killer abs with some random dudes.
When I got my new ringing gadget, that is iPhone 4S (no link needed :-)), the first thing I did was to introduce that security key. The iPhone device has the only option, that is the 4-digits key, while other modern smartphones, such as Samsung Galaxy Note, offer the possibility to choose between the key and a geometric pattern.
I've noticed that the majority of my friends choses patterns, and I wondered, why? Are the geometric keys visually more appealing than numbers? When it comes to safety, pin-codes are definitely safer. The number of combinations one can compose of 4 digits is equal to:
A pattern can be composed of up to nine positions, but each point must be adjacent to the previous one and non-repeating. I've asked some of my friends, at random, how many digits do they employ in the security pattern. The result is: from 2 to 4. People do not seem to tend to bother to invent 9-positions keys.
These pattern keys turn out to not only be a measure of safety of one's information but also to breed a nice combinatorics problem. To my mind, the latter is of more value :-).
Recently, as spending a day at a beautiful Costa Brava's beach and having that kind of view in front of myself:
I had nothing to think of. So, this problem came to my mind, and I decided to estimate the odds of breaking a pattern-key. For a precise comparison, as a pin-code has 4 digits in it, I have calculated the number of all possible combinations of 4 adjacent points that could form a sequrity pattern. For 4 points, it was pretty complicated to do this analytically, so I've opted for a straightforward calculation. Which led me to this kind of tree:
(image from my Moleskine, perdon my handwriting).
From here, the number of combinations can be deduced for 2,3 and 4 adjacent points.
The result is: 488 combinations for adjacent only points with no repetitions. For comparison, if not only adjacent points could be used, there would be 9*8*7*6 = 3024 combinations.
Resume: 4-digits number keys are safer than 4-points sequrity patterns.
To compare the complete safety of the number key VS the pattern key, all the combinations of 2,3,...,9 points must be sumed up and the resulting number should be opposed to 10000. To do so, I'd probably straightforwardly compute the number of combinations from 5 to 9 by simulations. A program is needed for that, of course. The sum of all the combinations might be close to 10000 or even superior.
However, common sense tells me that people won't probably bother as inventing keys of more than five positions. All in all, I don't regret that iPhone does not provide the opportunity to use pattern keys.
All of these could not have happened if I were cautious and had used a security key to protect my phone's content. I have never ever done this, because I am too lazy to memorize the key, and the need to enter it every time I want to access your phone really irritates me.
However, it is better than changing passwords and sharing the photos of my not-that-killer abs with some random dudes.
When I got my new ringing gadget, that is iPhone 4S (no link needed :-)), the first thing I did was to introduce that security key. The iPhone device has the only option, that is the 4-digits key, while other modern smartphones, such as Samsung Galaxy Note, offer the possibility to choose between the key and a geometric pattern.
I've noticed that the majority of my friends choses patterns, and I wondered, why? Are the geometric keys visually more appealing than numbers? When it comes to safety, pin-codes are definitely safer. The number of combinations one can compose of 4 digits is equal to:
A pattern can be composed of up to nine positions, but each point must be adjacent to the previous one and non-repeating. I've asked some of my friends, at random, how many digits do they employ in the security pattern. The result is: from 2 to 4. People do not seem to tend to bother to invent 9-positions keys.
These pattern keys turn out to not only be a measure of safety of one's information but also to breed a nice combinatorics problem. To my mind, the latter is of more value :-).
Recently, as spending a day at a beautiful Costa Brava's beach and having that kind of view in front of myself:
I had nothing to think of. So, this problem came to my mind, and I decided to estimate the odds of breaking a pattern-key. For a precise comparison, as a pin-code has 4 digits in it, I have calculated the number of all possible combinations of 4 adjacent points that could form a sequrity pattern. For 4 points, it was pretty complicated to do this analytically, so I've opted for a straightforward calculation. Which led me to this kind of tree:
(image from my Moleskine, perdon my handwriting).
From here, the number of combinations can be deduced for 2,3 and 4 adjacent points.
The result is: 488 combinations for adjacent only points with no repetitions. For comparison, if not only adjacent points could be used, there would be 9*8*7*6 = 3024 combinations.
Resume: 4-digits number keys are safer than 4-points sequrity patterns.
To compare the complete safety of the number key VS the pattern key, all the combinations of 2,3,...,9 points must be sumed up and the resulting number should be opposed to 10000. To do so, I'd probably straightforwardly compute the number of combinations from 5 to 9 by simulations. A program is needed for that, of course. The sum of all the combinations might be close to 10000 or even superior.
However, common sense tells me that people won't probably bother as inventing keys of more than five positions. All in all, I don't regret that iPhone does not provide the opportunity to use pattern keys.

