Hw3 - CSCI 415 Computer Networks Homework 3 Due Saad Mneimneh Computer Science Hunter College of CUNY Problem 1 Error correcting codes Suppose that

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Unformatted text preview: CSCI 415 Computer Networks Homework 3 Due 02/27/08 Saad Mneimneh Computer Science Hunter College of CUNY Problem 1: Error correcting codes Suppose that a parity check code has a minimum distance d . Define the distance of a code word and a received string (of the same length) as the number of bit positions in which the two are different (that’s the Hamming distance). (a) Show that if the distance between a code word and a given string is less than d/ 2, the distance between any other code word and the given string must exceed d/ 2. (b) Show that if a decoder maps a given string into a code word at smallest distance from the string, all combinations of fewer than d/ 2 erros will be cor- rected. Problem 2: CRC (a) For the generator polynomial g = 110011 and the data bits (message) m = 11100011 find the CRC and the transmitted string T (since g is 6 bits, i.e. a polynomial of degree 5, L = 5 and the CRC should be 5 bits)....
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This note was uploaded on 03/27/2010 for the course CSCI 415 taught by Professor Saadmneimneh during the Spring '08 term at CUNY Hunter.

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Hw3 - CSCI 415 Computer Networks Homework 3 Due Saad Mneimneh Computer Science Hunter College of CUNY Problem 1 Error correcting codes Suppose that

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