MinT - Information on Result #2955871

Information on Result #2955871

Linear OOA(2²⁵⁸, 38, F₂, 7, 209) (dual of [(38, 7), 8, 210]-NRT-code), using strength reduction based on linear OOA(2²⁵⁸, 38, F₂, 7, 213) (dual of [(38, 7), 8, 214]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(2¹²⁵, 19, F₂, 7, 106) (dual of [(19, 7), 8, 107]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹²⁵, 20, F₂, 7, 106) (dual of [(20, 7), 15, 107]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,33P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.