Coding Theory
8/12/15

Coding theory is a study of codes it is generally used in error correcting codes ad error detecting codes. It is way to have a secured application or network in today’s generation where the technology and information is growing rapidly. How coding theory works is for example we have lots of information and we want to decode it. Error detecting will detect all the errors in the information and error correcting will fix al the errors but most of the time it can we difficult to correct the errors when they are detected. Coding theory has many techniques different like hamming codes, perfect codes and generator matrices these are few techniques that work with coding theory. Error detecting codes helps look for errors in information or codes and it lists all the errors in the codes. Since most of the technology we use are binary numbers of 0’s and 1’s error detecting codes uses these binary numbers to look for the errors in codes. Some of the things like digital messages and zip code use error detecting to find any error like if there is a wrong zip code entered. Error correcting codes include error detecting codes so it can detect errors and also fix the errors. What exactly error correcting does is for example if we send some data to someone. Error correcting will fix all the errors it has detected while it is getting all the information.
Hamming distance measures the length of the character from one to another mostly two binary strings or numbers. The way hamming distance works is that it can only calculate the distance of binary strings that are of equal length. You write down a zero if the first number is same or 1 if it is different and you will do this until have all the numbers in the string. Then you will add the 0’s and 1’s to get the hamming distance. Hamming code is similar to error correcting codes where it detects errors and fixes them. Most of the errors that the hamming code fix occur when we move our data or store it to a different device.
Perfect codes are codes that are made up of binary numbers of 0’s and 1’s are considered perfect. Most of the time it is very difficult to find the perfect codes in the coding theory. Generator matrices are parity check where we encode the data. There are different ways we represent encoding for example we can use the triple repetition code or by parity check.
Coding theory is used in almost most of the application today for example we use coding theory in a satellite that is trying to pick up signals. The satellite must separate noises that picks up along with it and coding theory helps in achieving this. Electronics like T.V, mobiles and internet are all subject to pick up extra noises and they all use coding theory to separate all these information.