MinT - Information on Result #1130369

Information on Result #1130369

Linear OOA(2¹²⁹, 1677788, F₂, 6, 10) (dual of [(1677788, 6), 10066599, 11]-NRT-code), using OOA stacking with additional row based on linear OOA(2¹²⁹, 1677789, F₂, 5, 10) (dual of [(1677789, 5), 8388816, 11]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁴, 69, F₂, 5, 5) (dual of [(69, 5), 331, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁴, 69, F₂, 4, 5) (dual of [(69, 4), 262, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 14, 69)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2¹¹⁵, 1677720, F₂, 5, 10) (dual of [(1677720, 5), 8388485, 11]-NRT-code), using
  - OOA 5-folding [i] based on linear OA(2¹¹⁵, 8388600, F₂, 10) (dual of [8388600, 8388485, 11]-code), using
    - discarding factors / shortening the dual code based on linear OA(2¹¹⁵, large, F₂, 10) (dual of [large, large−115, 11]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,10], 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.