a) How many errors can C correct? How many codewords does C have? Give one reason why C is not a perfect code. (b) Determine A4; A5; A6; .....; A9. (Hint: think about what A10 = 1 means)

C++ Programming: From Problem Analysis to Program Design
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Chapter8: Arrays And Strings
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(a) How many errors can C correct? How many codewords does C have? Give one reason why C is not a perfect code.

(b) Determine A4; A5; A6; .....; A9. (Hint: think about what A10 = 1 means)

Let C be a binary linear code of length 10 and dimension 6 whose weight enumerator
is given by
Wc(X) = 1 +31X³ + A₁X¹ + A5X5 + A6X6 + A7X² + A8X³ + A9X⁹ + X¹0
for some integers A4, A5, A6, ..., Ag.
Transcribed Image Text:Let C be a binary linear code of length 10 and dimension 6 whose weight enumerator is given by Wc(X) = 1 +31X³ + A₁X¹ + A5X5 + A6X6 + A7X² + A8X³ + A9X⁹ + X¹0 for some integers A4, A5, A6, ..., Ag.
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