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Department of Electrical and Computer Engineering The Johns Hopkins University 520.137 Introduction to Electrical and Computer Engineering – Fall 2009 Homework Assignment IX Reading Assignment: Kuc Chapter 7 1. Consider the following (5 , 2) ECC code which contains a mixture of parity and repetitive bits: M 1 M 2 P 1 P 2 P 3 where the two repetitive bits are P 1 = M 1 and P 2 = M 2 whereas the parity bit is P 3 = M 1 M 2 . (a) Construct a table of all valid code-words. (b) What is the minimum Hamming distance between the valid code-words? What is the maximum Hamming distance between the valid code-words? How many bit-error(s) can we detect? How many bit-error(s) can we correct? (c) Another (5 , 2) ECC code is constructed as follows: M 1 M 2 P 1 P 2 P 3 where P 1 = M 1 M 2 , P 2 = M 1 M 2 , and P 3 = M 1 + M 2 . Again, construct a table of all valid code-words. (d) What is the minimum Hamming distance for this ECC code? What is the maximum Hamming distance between the valid code-words? How many bit-error(s) can we detect?
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  • Winter '06
  • tracdtran
  • Hamming Code, Error detection and correction, Parity bit, Department of Electrical and Computer Engineering The Johns Hopkins University, valid code-words

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