MinT - Information on Result #1165209

Information on Result #1165209

Linear OOA(2²⁰⁰, 1048584, F₂, 8, 16) (dual of [(1048584, 8), 8388472, 17]-NRT-code), using OOA 2-folding based on linear OOA(2²⁰⁰, 2097168, F₂, 4, 16) (dual of [(2097168, 4), 8388472, 17]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²⁰⁰, 2097169, F₂, 4, 16) (dual of [(2097169, 4), 8388476, 17]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁶, 19, F₂, 4, 8) (dual of [(19, 4), 60, 9]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 16, 19)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2¹⁸⁴, 2097150, F₂, 4, 16) (dual of [(2097150, 4), 8388416, 17]-NRT-code), using
    - OOA 4-folding [i] based on linear OA(2¹⁸⁴, 8388600, F₂, 16) (dual of [8388600, 8388416, 17]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹⁸⁴, large, F₂, 16) (dual of [large, large−184, 17]-code), using
        the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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.