MinT - Information on Result #908577

Information on Result #908577

Linear OOA(2²⁵⁴, 131, F₂, 2, 131) (dual of [(131, 2), 8, 132]-NRT-code), using juxtaposition based on

linear OOA(2⁶⁴, 36, F₂, 2, 35) (dual of [(36, 2), 8, 36]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁹, 18, F₂, 2, 17) (dual of [(18, 2), 7, 18]-NRT-code), using
    - (u,Â u+v)-construction [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(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]
linear OOA(2¹⁸², 95, F₂, 2, 95) (dual of [(95, 2), 8, 96]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁸⁷, 47, F₂, 2, 47) (dual of [(47, 2), 7, 48]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2⁴⁰, 23, F₂, 2, 23) (dual of [(23, 2), 6, 24]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹⁷, 11, F₂, 2, 11) (dual of [(11, 2), 5, 12]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]
        linear OOA(2¹¹, 6, F₂, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
        dual of repetition NRT-code with length 6 [i]
        linear OOA(2²³, 12, F₂, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
        dual of repetition NRT-code with length 12 [i]
      2. linear OOA(2⁴⁷, 24, F₂, 2, 47) (dual of [(24, 2), 1, 48]-NRT-code), using
        dual of repetition NRT-code with length 24 [i]
  2. linear OOA(2⁹⁵, 48, F₂, 2, 95) (dual of [(48, 2), 1, 96]-NRT-code), using
    - dual of repetition NRT-code with length 48 [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.