MinT - Information on Result #1130773

Information on Result #1130773

Linear OOA(2¹⁵², 1398113, F₂, 6, 12) (dual of [(1398113, 6), 8388526, 13]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁵², 2796226, F₂, 3, 12) (dual of [(2796226, 3), 8388526, 13]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁵², 2796227, F₂, 3, 12) (dual of [(2796227, 3), 8388529, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 26, F₂, 3, 6) (dual of [(26, 3), 64, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 14, 26)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2¹³⁸, 2796201, F₂, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(2¹³⁸, large, F₂, 12) (dual of [large, large−138, 13]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,12], 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.