MinT - Information on Result #2471109

Information on Result #2471109

Linear OOA(4¹⁵¹, 87, F₄, 2, 93) (dual of [(87, 2), 23, 94]-NRT-code), using 1 step truncation based on linear OOA(4¹⁵², 88, F₄, 2, 94) (dual of [(88, 2), 24, 95]-NRT-code), using

strength reduction [i] based on linear OOA(4¹⁵², 88, F₄, 2, 95) (dual of [(88, 2), 24, 96]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16³², 22, F₁₆, 2, 31) (dual of [(22, 2), 12, 32]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16³², 24, F₁₆, 2, 31) (dual of [(24, 2), 16, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
        a function field by SÃ©mirat [i]
  2. linear OA(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
    - Reedâ€“Solomon code RS(2,4) [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.