MinT - Information on Result #641170

Information on Result #641170

Linear OA(4¹⁵¹, 156, F₄, 110) (dual of [156, 5, 111]-code), using juxtaposition based on

linear OA(4⁶², 67, F₄, 46) (dual of [67, 5, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁶², 68, F₄, 46) (dual of [68, 6, 47]-code), using
  - residual code [i] based on linear OA(4²⁴⁹, 256, F₄, 187) (dual of [256, 7, 188]-code), using
    - an extension C_e(186) of the primitive narrow-sense BCH-code C(I) with length 255Â = 4⁴âˆ’1, defining interval IÂ =Â [1,186], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 187 [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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