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Category: My Notes

Parity Check Matrix and Dual Codes

July 6th, 2009, No Comments

In the first post, the reason why we introduce the encoding process is so that the receiver realize if she get an altered message. Now in the other  post, we introduce encoding process by using an encoding matrix . How does the receiver recognize if an error has taken place? Note that we can consider [...]

Encoding Matrices and Linear Codes

July 4th, 2009, No Comments

In the previous post here,  the message 1101 is encoded into 11011101. By writing 1101 as the row vector , we can write the encoded message as So the idea here is that we can use a matrix to encode messages efficiently. From now on we will refer the messages as words and the encoded [...]

Introduction To Coding Theory

June 29th, 2009, 2 Comments

Suppose a sender wants to send a message across a channel. To fix the idea, the message is a sequence of 0 and 1. Suppose the sender send the message 1101. Because there is a noise in the channel an error might happen. The digit 1 can turns into 0 and vice versa. Let say [...]

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