MinT - Information on Result #2473653

Information on Result #2473653

Linear OOA(4²⁴¹, 147, F₄, 2, 132) (dual of [(147, 2), 53, 133]-NRT-code), using 1 step truncation based on linear OOA(4²⁴², 148, F₄, 2, 133) (dual of [(148, 2), 54, 134]-NRT-code), using

strength reduction [i] based on linear OOA(4²⁴², 148, F₄, 2, 134) (dual of [(148, 2), 54, 135]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16⁴⁷, 37, F₁₆, 2, 44) (dual of [(37, 2), 27, 45]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16⁴⁷, 38, F₁₆, 2, 44) (dual of [(38, 2), 29, 45]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,31P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, 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.