MinT - Information on Result #1192584

Information on Result #1192584

Digital (96, 120, 2736)-net over F₈, using net defined by OOA based on linear OOA(8¹²⁰, 2736, F₈, 27, 24) (dual of [(2736, 27), 73752, 25]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(8¹²⁰, 10945, F₈, 3, 24) (dual of [(10945, 3), 32715, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹²⁰, 10946, F₈, 3, 24) (dual of [(10946, 3), 32718, 25]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(8¹⁵, 24, F₈, 3, 12) (dual of [(24, 3), 57, 13]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,59P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
        the Klein quartic over F₈ [i]
    2. linear OOA(8¹⁰⁵, 10922, F₈, 3, 24) (dual of [(10922, 3), 32661, 25]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(8¹⁰⁵, 32766, F₈, 24) (dual of [32766, 32661, 25]-code), using
        discarding factors / shortening the dual code based on linear OA(8¹⁰⁵, 32767, F₈, 24) (dual of [32767, 32662, 25]-code), using
        1 times truncation [i] based on linear OA(8¹⁰⁶, 32768, F₈, 25) (dual of [32768, 32662, 26]-code), using
        an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [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.