MinT - Information on Result #1070130

Information on Result #1070130

Linear OOA(128⁴⁶, 2101279, F₁₂₈, 4, 10) (dual of [(2101279, 4), 8405070, 11]-NRT-code), using OOA 2-folding based on linear OOA(128⁴⁶, 4202558, F₁₂₈, 2, 10) (dual of [(4202558, 2), 8405070, 11]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(128⁹, 8257, F₁₂₈, 2, 5) (dual of [(8257, 2), 16505, 6]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(128², 129, F₁₂₈, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;256,128) [i]
    2. 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.