MinT - Information on Result #1058718

Information on Result #1058718

Linear OOA(2²⁵⁷, 74, F₂, 4, 111) (dual of [(74, 4), 39, 112]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵⁷, 148, F₂, 2, 111) (dual of [(148, 2), 39, 112]-NRT-code), using

3 step truncation [i] based on linear OOA(2²⁶⁰, 150, F₂, 2, 114) (dual of [(150, 2), 40, 115]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(32²², 30, F₃₂, 22) (dual of [30, 8, 23]-code or 30-arc in PG(21,32)), using
    - discarding factors / shortening the dual code based on linear OA(32²², 32, F₃₂, 22) (dual of [32, 10, 23]-code or 32-arc in PG(21,32)), using
      - Reedâ€“Solomon code RS(10,32) [i]
  2. linear OOA(2⁵, 5, F₂, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,5P) [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.