MinT - Information on Result #1198892

Information on Result #1198892

Digital (33, 41, 2097172)-net over F₃₂, using net defined by OOA based on linear OOA(32⁴¹, 2097172, F₃₂, 10, 8) (dual of [(2097172, 10), 20971679, 9]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(32⁴¹, 4194345, F₃₂, 2, 8) (dual of [(4194345, 2), 8388649, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(32⁵, 44, F₃₂, 2, 4) (dual of [(44, 2), 83, 5]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,83P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
      - a function field by SÃ©mirat [i]
  2. linear OOA(32³⁶, 4194301, F₃₂, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(32³⁶, 8388602, F₃₂, 8) (dual of [8388602, 8388566, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(32³⁶, large, F₃₂, 8) (dual of [large, large−36, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 33554431Â = 32⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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.