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Q#1
Information Theory and Error Control coding
GATE EC 2025
NAT
+1 mark
-0 marks
The generator matrix of a 
binary linear block code is given by
The minimum Hamming distance 
between codewords equals _________ (answer in integer).
Explanation:
Given code (n,k) = (6,3),
Where n total bits, k message bits
Corresponding codeword 
d ranges from 000 to 111
C values by matrix multiplication
smallest homing weight (no. of non-zero bits) of non-zero codeword
=minimum Hamming Distance 
see column 
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