MinT - Information on Result #1098744

Information on Result #1098744

Linear OOA(2¹⁴⁸, 35, F₂, 5, 59) (dual of [(35, 5), 27, 60]-NRT-code), using OOA 5-folding based on linear OA(2¹⁴⁸, 175, F₂, 59) (dual of [175, 27, 60]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁴⁸, 176, F₂, 59) (dual of [176, 28, 60]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹⁵, 22, F₁₆, 14) (dual of [22, 7, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁵, 24, F₁₆, 14) (dual of [24, 9, 15]-code), using
      - extended algebraic-geometric code AG_e(F,9P) [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(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
    - Reedâ€“Muller code RM(1,3) [i]
    - caps in base bÂ =Â 2 [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.