MinT - Information on Result #1100847

Information on Result #1100847

Linear OOA(3¹⁷¹, 2796207, F₃, 5, 12) (dual of [(2796207, 5), 13980864, 13]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁷¹, 5592414, F₃, 3, 12) (dual of [(5592414, 3), 16777071, 13]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁷¹, 5592415, F₃, 3, 12) (dual of [(5592415, 3), 16777074, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁹, 13, F₃, 3, 6) (dual of [(13, 3), 30, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 9, 13)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3¹⁶², 5592402, F₃, 3, 12) (dual of [(5592402, 3), 16777044, 13]-NRT-code), using
    - trace code [i] based on linear OOA(9⁸¹, 2796201, F₉, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(9⁸¹, large, F₉, 12) (dual of [large, large−81, 13]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.