MinT - Information on Result #2709028

Information on Result #2709028

OOA(8⁷⁵, 5657682, S₈, 3, 8), using 8¹ times duplication based on OOA(8⁷⁴, 5657682, S₈, 3, 8), using

(u,Â u+v)-construction [i] based on
1. OOA(8¹⁶, 65280, S₈, 3, 4), using
  - OA 2-folding and stacking [i] based on OA(8¹⁶, 130560, S₈, 4), using
    - discarding parts of the base [i] based on linear OA(16¹², 130560, F₁₆, 4) (dual of [130560, 130548, 5]-code), using
      - trace code [i] based on linear OA(256⁶, 65280, F₂₅₆, 4) (dual of [65280, 65274, 5]-code), using
        1 times truncation [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
2. linear OOA(8⁵⁸, 5592402, F₈, 3, 8) (dual of [(5592402, 3), 16777148, 9]-NRT-code), using
  - trace code [i] based on linear OOA(64²⁹, 2796201, F₆₄, 3, 8) (dual of [(2796201, 3), 8388574, 9]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(64²⁹, large, F₆₄, 8) (dual of [large, large−29, 9]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.