MinT - Information on Result #1100766

Information on Result #1100766

Linear OOA(3¹⁵², 2796204, F₃, 5, 11) (dual of [(2796204, 5), 13980868, 12]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁵², 5592408, F₃, 3, 11) (dual of [(5592408, 3), 16777072, 12]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁵², 5592409, F₃, 3, 11) (dual of [(5592409, 3), 16777075, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁶, 7, F₃, 3, 5) (dual of [(7, 3), 15, 6]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [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(3¹⁴⁶, 5592402, F₃, 3, 11) (dual of [(5592402, 3), 16777060, 12]-NRT-code), using
    - trace code [i] based on linear OOA(9⁷³, 2796201, F₉, 3, 11) (dual of [(2796201, 3), 8388530, 12]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(9⁷³, large, F₉, 11) (dual of [large, large−73, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [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.

Other Results with Identical Parameters

None.

Depending Results

None.