MinT - Information on Result #1184568

Information on Result #1184568

Digital (172, 190, 932069)-net over F₃, using net defined by OOA based on linear OOA(3¹⁹⁰, 932069, F₃, 21, 18) (dual of [(932069, 21), 19573259, 19]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3¹⁹⁰, 2796208, F₃, 3, 18) (dual of [(2796208, 3), 8388434, 19]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁰, 7, F₃, 3, 9) (dual of [(7, 3), 11, 10]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁸⁰, 2796201, F₃, 3, 18) (dual of [(2796201, 3), 8388423, 19]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(3¹⁸⁰, large, F₃, 18) (dual of [large, large−180, 19]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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.