MinT - Information on Result #641161

Information on Result #641161

Linear OA(4¹⁴⁴, 149, F₄, 105) (dual of [149, 5, 106]-code), using juxtaposition based on

linear OA(4⁵⁵, 60, F₄, 41) (dual of [60, 5, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁵⁵, 63, F₄, 41) (dual of [63, 8, 42]-code), using
  - 2 times truncation [i] based on linear OA(4⁵⁷, 65, F₄, 43) (dual of [65, 8, 44]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 65Â | 4⁶âˆ’1, defining interval IÂ =Â [0,21], and minimum distance dÂ â‰¥ |{−21,−20,…,21}|+1Â =Â 44 (BCH-bound) [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.

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