Berlekamp–van Lint–Seidel graph
The Berlekamp-Van Lint-Seidel (BVS) graph is like a special kind of drawing that helps people solve really complicated math problems. Imagine you're trying to figure out a super hard puzzle with lots of numbers and symbols. The BVS graph helps you see patterns in those numbers and symbols that you might not have noticed before.
Here's how it works: you start by taking a big group of numbers and writing them down in a certain order. Then you draw a bunch of circles for each of those numbers. Inside each circle, you put lines to show how that number is related to all the other numbers. If two numbers are the same, you draw a line between their circles. If they're not the same, you might draw a different kind of line.
The BVS graph is really useful because it helps you find something called a "minimum distance code." That means finding the shortest possible way to write down a bunch of numbers so that there aren't any mistakes. It's like writing a secret code where every letter has to be exactly right in order to read the message correctly.
So if you ever have to solve a big math problem with lots of numbers, remember to use the BVS graph to help you out!
Here's how it works: you start by taking a big group of numbers and writing them down in a certain order. Then you draw a bunch of circles for each of those numbers. Inside each circle, you put lines to show how that number is related to all the other numbers. If two numbers are the same, you draw a line between their circles. If they're not the same, you might draw a different kind of line.
The BVS graph is really useful because it helps you find something called a "minimum distance code." That means finding the shortest possible way to write down a bunch of numbers so that there aren't any mistakes. It's like writing a secret code where every letter has to be exactly right in order to read the message correctly.
So if you ever have to solve a big math problem with lots of numbers, remember to use the BVS graph to help you out!