MinT - Information on Result #1191818

Information on Result #1191818

Digital (141, 155, 2796200)-net over F₈, using net defined by OOA based on linear OOA(8¹⁵⁵, 2796200, F₈, 21, 14) (dual of [(2796200, 21), 58720045, 15]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(8¹⁵⁵, 8388601, F₈, 3, 14) (dual of [(8388601, 3), 25165648, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁵⁵, large, F₈, 3, 14), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(8⁴⁹, 2796201, F₈, 3, 7) (dual of [(2796201, 3), 8388554, 8]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(8⁴⁹, large, F₈, 7) (dual of [large, large−49, 8]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 8¹⁶âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [i]
    2. linear OOA(8¹⁰⁶, 5592402, F₈, 3, 14) (dual of [(5592402, 3), 16777100, 15]-NRT-code), using
      - trace code [i] based on linear OOA(64⁵³, 2796201, F₆₄, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), using
        OOA 3-folding [i] based on linear OA(64⁵³, large, F₆₄, 14) (dual of [large, large−53, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.