MinT - Information on Result #2635625

Information on Result #2635625

Linear OOA(4²¹⁸, 75, F₄, 3, 175) (dual of [(75, 3), 7, 176]-NRT-code), using strength reduction based on linear OOA(4²¹⁸, 75, F₄, 3, 176) (dual of [(75, 3), 7, 177]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(4⁶⁸, 25, F₄, 3, 58) (dual of [(25, 3), 7, 59]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁶⁸, 26, F₄, 3, 58) (dual of [(26, 3), 10, 59]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,19P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.