MinT - Information on Result #1191552

Information on Result #1191552

Digital (88, 100, 2796213)-net over F₈, using net defined by OOA based on linear OOA(8¹⁰⁰, 2796213, F₈, 15, 12) (dual of [(2796213, 15), 41943095, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(8¹⁰⁰, 5592427, F₈, 3, 12) (dual of [(5592427, 3), 16777181, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8¹⁰, 25, F₈, 3, 6) (dual of [(25, 3), 65, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,68P) [i] based on function field F/F₈ with g(F) = 4 and N(F) ≥ 25, using
      - a function field by SÃ©mirat [i]
  2. linear OOA(8⁹⁰, 5592402, F₈, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
    - trace code [i] based on linear OOA(64⁴⁵, 2796201, F₆₄, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(64⁴⁵, large, F₆₄, 12) (dual of [large, large−45, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.