MinT - Information on Result #1131195

Information on Result #1131195

Linear OOA(2¹⁷⁶, 1398110, F₂, 6, 15) (dual of [(1398110, 6), 8388484, 16]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁷⁶, 2796220, F₂, 3, 15) (dual of [(2796220, 3), 8388484, 16]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁷⁶, 2796221, F₂, 3, 15) (dual of [(2796221, 3), 8388487, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 20, F₂, 3, 7) (dual of [(20, 3), 46, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 14, 20)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2¹⁶², 2796201, F₂, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(2¹⁶², large, F₂, 15) (dual of [large, large−162, 16]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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.