Gijswijt's sequence

Gijswijt's sequence is a type of code that can be used to check if there are any errors when data is being transmitted between devices, like when you send a text message or an email.

Imagine you have a secret code that you want to send to your friend. You write the code down and send it to your friend, but you're worried that some of the letters might get mixed up as they travel through the phone lines or internet. To make sure that the code arrives intact, you can use Gijswijt's sequence.

Gijswijt's sequence is a set of numbers that are based on some math rules. These numbers are used to check that the code you sent is the same as the code your friend received. The math rules are kind of like a puzzle that your phone or computer can solve to make sure the code matches.

To use Gijswijt's sequence, you add up all the numbers in the code you want to send. Then, you add up all the numbers in the sequence. Finally, you take the two sums and add them together. If the result is an even number, your code is good and you can send it without worries. If the result is an odd number, there's a mistake in the code and you need to try again.

So, Gijswijt's sequence helps to check that your code is sent and received correctly by making sure that the math puzzle adds up to an even number. It's like a secret handshake between your devices to confirm that the message arrived as intended.