MinT - Information on Result #1199919

Information on Result #1199919

Linear OOA(32¹⁰⁹, 95335, F₃₂, 23, 23) (dual of [(95335, 23), 2192596, 24]-NRT-code), using OOA 11-folding and stacking with additional row based on linear OA(32¹⁰⁹, 1048686, F₃₂, 23) (dual of [1048686, 1048577, 24]-code), using

discarding factors / shortening the dual code based on linear OA(32¹⁰⁹, 1048687, F₃₂, 23) (dual of [1048687, 1048578, 24]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(32²⁰, 110, F₃₂, 11) (dual of [110, 90, 12]-code), using
    - (u,Â uâˆ’v,Â u+v+w)-construction [i] based on
      1. linear OA(32³, 33, F₃₂, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
        extended Reedâ€“Solomon code RS_e(30,32) [i]
      2. linear OA(32⁵, 33, F₃₂, 5) (dual of [33, 28, 6]-code or 33-arc in PG(4,32)), using
        extended Reedâ€“Solomon code RS_e(28,32) [i]
      3. linear OA(32¹², 44, F₃₂, 11) (dual of [44, 32, 12]-code), using
        extended algebraic-geometric code AG_e(F,32P) [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 OA(32⁸⁹, 1048577, F₃₂, 23) (dual of [1048577, 1048488, 24]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 1048577Â | 32⁸âˆ’1, defining interval IÂ =Â [0,11], and minimum distance dÂ â‰¥ |{−11,−10,…,11}|+1Â =Â 24 (BCH-bound) [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (86, 109, 95335)-net over F₃₂	[i]		Net Defined by OOA