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                    Mathematica-Compatible Notebook

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Cell[CellGroupData[{
Cell["Generating a binary code and computing its minimal distance", "Title",
  TextAlignment->Center,
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  FontColor->RGBColor[1, 1, 0],
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Cell[TextData[{
  "The function ",
  StyleBox["points[k_Integer]",
    FontWeight->"Bold"],
  " generates the ",
  Cell[BoxData[
      \(TraditionalForm\`2\^k\)]],
  " co-ordinates of the points in a ",
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    FontSlant->"Italic"],
  "-dimensional vector space over ",
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  " matrix of all possible ",
  Cell[BoxData[
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  " dimensional binary vectors."
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          tn = Transpose[\ Join[{Table[0, {2^\((k - 1)\)}]}, tn]]; \n
          \t\t\t\t\ \ \ \ \ \ \ \ Join[tn, Mod[1 + \ \ tn, 2]]\n\t\t\t\t]
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  "If ",
  StyleBox["GMat",
    FontWeight->"Bold"],
  " is the ",
  Cell[BoxData[
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  " generator matrix of a binary code ",
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  " of dimension ",
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  " and block length ",
  StyleBox["n",
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  " is a matrix whose rows consist of all the code words in ",
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  ". Here is an example."
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Cell[TextData[{
  "The function ",
  StyleBox["distances[GMat_List]",
    FontWeight->"Bold"],
  " produces a vector of all the non-zero distances of the code words \
generated by ",
  StyleBox["GMat",
    FontWeight->"Bold"],
  ". One may then compute the minimal distance of the code via the ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  " ",
  StyleBox["Min",
    FontWeight->"Bold"],
  " function."
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Cell[BoxData[
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Cell[BoxData[{
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}, Open  ]]
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Cached data follows.  If you edit this Notebook file directly, not using
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Cell[3074, 94, 604, 25, 93, "Text"],
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