MinT - Information on Result #2909058

Information on Result #2909058

Linear OOA(2¹⁵³, 26, F₂, 6, 132) (dual of [(26, 6), 3, 133]-NRT-code), using strength reduction based on linear OOA(2¹⁵³, 26, F₂, 6, 139) (dual of [(26, 6), 3, 140]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(6;3,2) [i]
2. linear OOA(2¹³⁵, 23, F₂, 6, 123) (dual of [(23, 6), 3, 124]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code) (see above)
    2. linear OOA(2¹¹⁷, 20, F₂, 6, 107) (dual of [(20, 6), 3, 108]-NRT-code), using
      - repeating each code word 4 times [i] based on linear OOA(2²⁷, 5, F₂, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(6;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [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.