MinT - Information on Result #641178

Information on Result #641178

Linear OA(4¹⁶⁸, 173, F₄, 123) (dual of [173, 5, 124]-code), using juxtaposition based on

linear OA(4⁷⁹, 84, F₄, 59) (dual of [84, 5, 60]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁷⁹, 85, F₄, 59) (dual of [85, 6, 60]-code), using
  - the BCH-code C(I) with length 85Â | 4⁴âˆ’1, defining interval IÂ =Â {−4,2,8,…,4}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 60 [i]
linear OA(4⁸⁴, 89, F₄, 63) (dual of [89, 5, 64]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁸⁴, 90, F₄, 63) (dual of [90, 6, 64]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
      - Denniston code D(1,16) [i]
    2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
      - extended Reedâ€“Solomon code RS_e(2,4) [i]
      - Simplex code S(2,4) [i]

Mode: Constructive and linear.

None.

None.