¶ … Coding Theory for Discrete Mathematics
In the contemporary IT (information technology) environment, increasing number of organizations are using large computer to transmit data over a long distance and some of these data are transmitted across billions of kilometers. During data transmission, some data can be degraded; the coding theory is an effective strategy to recover degraded data in order to guarantee reliable data transmission. Coding theory also assists in recovering and detecting errors, which assists in enhancing efficient data storage and data communications.
Objective of this paper is to discuss the coding theory and its real world application. The paper discusses the errors detecting codes and its application in the next section.
Error Detecting Codes
A simple strategy to detect errors is to add parity in order to check bit. To detect errors, a bit strong will be transmitted in order to add a parity bit. Typically, when a bit string has an even number of 1s, then we put 0 when reaching the end of the string. However, when a bit string has an odd number of 1s, then we put 1 when reaching the end of the string. When the parity check bit has been summed up with bit string and errors are detected with odd number, however errors are also detected with even numbers. For example, when receiving the following strings 1110011 and 10111101 as messages, the strings...
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