MinT - Information on Result #1836526

Information on Result #1836526

OOA(8⁹⁷, 5658267, S₈, 3, 10), using (u,Â u+v)-construction based on

OOA(8²³, 65865, S₈, 3, 5), using
- OOA stacking with additional row [i] based on OOA(8²³, 65866, S₈, 2, 5), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(8⁴, 585, F₈, 2, 2) (dual of [(585, 2), 1166, 3]-NRT-code), using
      - appending kth column [i] based on linear OA(8⁴, 585, F₈, 2) (dual of [585, 581, 3]-code), using
        Hamming code H(4,8) [i]
    2. OOA(8¹⁹, 65281, S₈, 2, 5), using
      - OOA 2-folding [i] based on OA(8¹⁹, 130562, S₈, 5), using
        discarding parts of the base [i] based on linear OA(16¹⁴, 130562, F₁₆, 5) (dual of [130562, 130548, 6]-code), using
        trace code [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
linear OOA(8⁷⁴, 5592402, F₈, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(64³⁷, 2796201, F₆₄, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(64³⁷, large, F₆₄, 10) (dual of [large, large−37, 11]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

None.

None.