MinT - Information on Result #1100920

Information on Result #1100920

Linear OOA(3¹⁸⁵, 2796204, F₃, 5, 13) (dual of [(2796204, 5), 13980835, 14]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁸⁵, 5592408, F₃, 3, 13) (dual of [(5592408, 3), 16777039, 14]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁸⁵, 5592409, F₃, 3, 13) (dual of [(5592409, 3), 16777042, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁷, 7, F₃, 3, 6) (dual of [(7, 3), 14, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(3¹⁷⁸, 5592402, F₃, 3, 13) (dual of [(5592402, 3), 16777028, 14]-NRT-code), using
    - trace code [i] based on linear OOA(9⁸⁹, 2796201, F₉, 3, 13) (dual of [(2796201, 3), 8388514, 14]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(9⁸⁹, large, F₉, 13) (dual of [large, large−89, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [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.