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Whenever data is transmitted across a channel, errors are likely to occur and the received message may not be identical to the original message. An error-correcting code is an algorithm for expressing a sequence of elements so that any errors formed during data transmission can be detected and possibly corrected. These codes have many real-world applications, such as in cell phones, credit cards, CDs, high-speed modems, and ISBN numbers. In this talk, I will discuss the basic construction of different types of error-correcting codes.