MinT - Information on Result #908582

Information on Result #908582

Linear OOA(2²⁵⁸, 133, F₂, 2, 132) (dual of [(133, 2), 8, 133]-NRT-code), using juxtaposition based on

linear OOA(2⁹⁶, 52, F₂, 2, 51) (dual of [(52, 2), 8, 52]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁵, 26, F₂, 2, 25) (dual of [(26, 2), 7, 26]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2²⁰, 13, F₂, 2, 12) (dual of [(13, 2), 6, 13]-NRT-code), using
        extracting embedded OOA [i] based on digital (8, 20, 13)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²⁵, 13, F₂, 2, 25) (dual of [(13, 2), 1, 26]-NRT-code), using
        dual of repetition NRT-code with length 13 [i]
  2. linear OOA(2⁵¹, 26, F₂, 2, 51) (dual of [(26, 2), 1, 52]-NRT-code), using
    - dual of repetition NRT-code with length 26 [i]
linear OOA(2¹⁵⁴, 81, F₂, 2, 80) (dual of [(81, 2), 8, 81]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹², 10, F₂, 2, 8) (dual of [(10, 2), 8, 9]-NRT-code), using
    - an explicit generator matrix by Edel [i]
  2. linear OOA(2¹³⁴, 71, F₂, 2, 71) (dual of [(71, 2), 8, 72]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁶³, 35, F₂, 2, 35) (dual of [(35, 2), 7, 36]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
        an explicit generator matrix by Edel [i]
        linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
        dual of repetition NRT-code with length 9 [i]
        linear OOA(2³⁵, 18, F₂, 2, 35) (dual of [(18, 2), 1, 36]-NRT-code), using
        dual of repetition NRT-code with length 18 [i]
      2. linear OOA(2⁷¹, 36, F₂, 2, 71) (dual of [(36, 2), 1, 72]-NRT-code), using
        dual of repetition NRT-code with length 36 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.