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\title{Error-Correcting Codes}
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\title{Error-Correcting Codes}
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\subtitle{Prepared by Mark on \today}
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\subtitle{Prepared by Mark on \today}
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% TODO:
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% ISBN section is tedious, could use some work.
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% Check problem 5
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\begin{document}
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\begin{document}
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\maketitle
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\maketitle
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@ -131,7 +131,7 @@ Take a valid ISBN-13 and swap two adjacent digits. When will the result be a val
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\vfill
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\vfill
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\problem{}<isbn-nocorrect>
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\problem{}<isbnnocorrect>
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\texttt{978-008-2066-466} was a valid ISBN until I changed a single digit. \par
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\texttt{978-008-2066-466} was a valid ISBN until I changed a single digit. \par
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Can you find the digit I changed? Can you recover the original ISBN?
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Can you find the digit I changed? Can you recover the original ISBN?
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\section{Error Correction}
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\section{Error Correction}
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As we saw in \ref{isbn-nocorrect}, the ISBN check-digit scheme does not allow us to correct errors. \par
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As we saw in \ref{isbnnocorrect}, the ISBN check-digit scheme does not allow us to correct errors. \par
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QR codes feature a system that does. \par
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QR codes feature a system that does. \par
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\vspace{1mm}
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\vspace{1mm}
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