diff --git a/experiment/simulation/identify_codewords.html b/experiment/simulation/identify_codewords.html index aeb775d..dba89ac 100644 --- a/experiment/simulation/identify_codewords.html +++ b/experiment/simulation/identify_codewords.html @@ -3,89 +3,95 @@ - - Parity Check Matrix - + + Parity Check Matrix + - - - - - - - + + + + + + + - + -
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    Instructions
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      + Quick theory overview: +
    • + An \( [n,k] \) linear block code \( \mathcal{C} \) with parity-check matrix \( H \). An + arbitrary codeword \( \textbf{c} \in \mathcal{C} \) inner product with any row of \( H + \) always results in \(0\), \[ H\textbf{c}^T = 0 .\] +
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      + + Procedure: + +
    • + Select all possible codewords corresponding to the given parity-check matrix \(H\) and + click the Submit button. +
    • - An \( [n,k] \) linear block code \( \mathcal{C} \) with parity-check matrix \( H \). An arbitrary codeword \( \textbf{c} \in \mathcal{C} \) inner product with any row of \( H \) always results in \(0\), \[ H\textbf{c}^T = 0 .\] -
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      - - Procedure: - -
    • - Select all possible codewords corresponding to the given parity-check matrix \(H\) and click the Submit button. -
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    • - Click Reset button to reset all your selected choices and restart. -
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    • - Click the Next button to get an exercise for selecting all the codeword of the parity-check matrix of dimension \(4 \times 7\) and click the Previous to do the same with the parity-check matrix of dimension \(3 \times 5\). -
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    - + Click Reset button to reset all your selected choices and restart. + +
  • + Click the Next button to get an exercise for selecting all the codeword of the + parity-check matrix of dimension \(4 \times 7\) and click the Previous to do the + same with the parity-check matrix of dimension \(3 \times 5\). +
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Please select all possible codewords corresponding to code \( \mathcal{C} \) whose parity-check matrix is +

Please select all possible codewords corresponding to code \( \mathcal{C} \) whose parity-check + matrix is \(H \)= \(\begin{bmatrix} 0 & 0 & 1 & 0 & 1\\ @@ -99,75 +105,94 @@

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Please select all possible codewords corresponding to code \( \mathcal{C} \) whose parity-check matrix is +

Please select all possible codewords corresponding to code \( \mathcal{C} \) whose parity-check + matrix is \(H \)= \(\begin{bmatrix} 1 & 1 & 0 & 1 & 0 & 0 & 0\\ @@ -208,137 +234,168 @@

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