MinT - Information on Result #1070128

Information on Result #1070128

Linear OOA(128⁴⁴, 2101214, F₁₂₈, 4, 10) (dual of [(2101214, 4), 8404812, 11]-NRT-code), using OOA 2-folding based on linear OOA(128⁴⁴, 4202428, F₁₂₈, 2, 10) (dual of [(4202428, 2), 8404812, 11]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(128⁴⁴, 4202429, F₁₂₈, 2, 10) (dual of [(4202429, 2), 8404814, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128⁷, 8128, F₁₂₈, 2, 5) (dual of [(8128, 2), 16249, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(128⁷, 16256, F₁₂₈, 5) (dual of [16256, 16249, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(128⁷, 16257, F₁₂₈, 5) (dual of [16257, 16250, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(128³⁷, 4194301, F₁₂₈, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(128³⁷, 8388602, F₁₂₈, 10) (dual of [8388602, 8388565, 11]-code), using
      - discarding factors / shortening the dual code based on linear OA(128³⁷, large, F₁₂₈, 10) (dual of [large, large−37, 11]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 9256395Â | 128⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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.