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Merge pull request #4 from virtual-labs/dev
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Update pretest.json
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mbhat2025 authored Sep 24, 2023
2 parents aaf98bb + ee7f38b commit c3ab3d4
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2 changes: 1 addition & 1 deletion experiment/pretest.json
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"version": 2.0,
"questions": [
{
"question": "In the following questions, wherever required, use the Galois fields $$\\mathbb{F}_{2^{3}} = \\{ 0, 1, \\alpha, \\alpha^{2}, \\alpha^{3} = 1+\\alpha, \\alpha^{4} = \\alpha+\\alpha^{2}, \\alpha^{5}=1+\\alpha+\\alpha^{2}, \\alpha^{6}= 1+\\alpha^{2} \\} \\, \\text{and} $$ $$ \\mathbb{F}_{2^{4}} = \\{ & 0, 1, \\alpha, \\alpha^{2}, \\alpha^{3}, \\alpha^{4} = 1+\\alpha, \\alpha^{5} = \\alpha+\\alpha^{2}, \\alpha^{6}=\\alpha^{2}+\\alpha^{3}, \\alpha^{7}= 1+\\alpha+\\alpha^{3}, \\\\ & \\alpha^{8} = 1+\\alpha^{2}, \\alpha^{9} =\\alpha+\\alpha^{3}, \\alpha^{10}=1+\\alpha+\\alpha^{2}, \\alpha^{11}=\\alpha+\\alpha^{2}+\\alpha^{3},\\\\ & \\alpha^{12}=1+\\alpha+\\alpha^{2}+\\alpha^{3}, \\alpha^{13}=1+\\alpha^{2}+\\alpha^{3}, \\alpha^{14} = 1+\\alpha^{3} \\}. \\\\ \\\\ 1. Which one of the following cannot be a binary primitive BCH code of the length?$$",
"question": "In the following questions, wherever required, use the Galois fields $$\\mathbb{F}_{2^{3}} = \\{ 0, 1, \\alpha, \\alpha^{2}, \\alpha^{3} = 1+\\alpha, \\alpha^{4} = \\alpha+\\alpha^{2}, \\alpha^{5}=1+\\alpha+\\alpha^{2}, \\alpha^{6}= 1+\\alpha^{2} \\} \\, \\text{and}$$ $$ \\begin{align*} \\mathbb{F}_{2^{4}} = \\{ & 0, 1, \\alpha, \\alpha^{2}, \\alpha^{3}, \\alpha^{4} = 1+\\alpha, \\alpha^{5} = \\alpha+\\alpha^{2}, \\alpha^{6}=\\alpha^{2}+\\alpha^{3}, \\alpha^{7}= 1+\\alpha+\\alpha^{3}, \\\\ & \\alpha^{8} = 1+\\alpha^{2}, \\alpha^{9} =\\alpha+\\alpha^{3}, \\alpha^{10}=1+\\alpha+\\alpha^{2}, \\alpha^{11}=\\alpha+\\alpha^{2}+\\alpha^{3},\\\\ & \\alpha^{12}=1+\\alpha+\\alpha^{2}+\\alpha^{3}, \\alpha^{13}=1+\\alpha^{2}+\\alpha^{3}, \\alpha^{14} = 1+\\alpha^{3} \\}. \\end{align*} $$ 1. Which one of the following cannot be a binary primitive BCH code of the length?$$",
"answers": {
"a": "$n=127$",
"b": "$n=63$",
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