MinT - Information on Result #941967

Information on Result #941967

Linear OOA(4¹⁹², 98, F₄, 2, 160) (dual of [(98, 2), 4, 161]-NRT-code), using juxtaposition based on

linear OOA(4⁶, 5, F₄, 2, 6) (dual of [(5, 2), 4, 7]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;4,4) [i]
linear OOA(4¹⁸², 93, F₄, 2, 153) (dual of [(93, 2), 4, 154]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁴, 4, F₄, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;4,4) [i]
  2. linear OOA(4¹⁷⁴, 89, F₄, 2, 148) (dual of [(89, 2), 4, 149]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(4⁴, 4, F₄, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code) (see above)
      2. linear OOA(4¹⁶⁶, 85, F₄, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
        concatenation of two NRT-codes [i] based on
        linear OA(16¹⁵, 17, F₁₆, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
        extended Reedâ€“Solomon code RS_e(2,16) [i]
        Simplex code S(2,16) [i]
        linear OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,4) [i]

Mode: Constructive and linear.

None.

The following results depend on this result: