MinT - Information on Result #908578

Information on Result #908578

Linear OOA(2²²², 115, F₂, 2, 115) (dual of [(115, 2), 8, 116]-NRT-code), using juxtaposition based on

linear OOA(2⁸⁰, 44, F₂, 2, 43) (dual of [(44, 2), 8, 44]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁷, 22, F₂, 2, 21) (dual of [(22, 2), 7, 22]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁶, 11, F₂, 2, 10) (dual of [(11, 2), 6, 11]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 16, 11)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²¹, 11, F₂, 2, 21) (dual of [(11, 2), 1, 22]-NRT-code), using
        dual of repetition NRT-code with length 11 [i]
  2. linear OOA(2⁴³, 22, F₂, 2, 43) (dual of [(22, 2), 1, 44]-NRT-code), using
    - dual of repetition NRT-code with length 22 [i]
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
      1. 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]
      2. 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.