MinT - Information on Result #950003

Information on Result #950003

Linear OOA(2¹⁸⁴, 77, F₂, 3, 63) (dual of [(77, 3), 47, 64]-NRT-code), using OOA 3-folding based on linear OA(2¹⁸⁴, 231, F₂, 63) (dual of [231, 47, 64]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁸⁴, 232, F₂, 63) (dual of [232, 48, 64]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹⁷, 29, F₁₆, 15) (dual of [29, 12, 16]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁷, 33, F₁₆, 15) (dual of [33, 16, 16]-code), using
      - extended algebraic-geometric code AG_e(F,17P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, 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.