MinT - Information on Result #829444

Information on Result #829444

Linear OOA(4¹⁹⁸, 187, F₄, 2, 64) (dual of [(187, 2), 176, 65]-NRT-code), using OOA 2-folding based on linear OA(4¹⁹⁸, 374, F₄, 64) (dual of [374, 176, 65]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁹⁸, 375, F₄, 64) (dual of [375, 177, 65]-code), using
- 1 times truncation [i] based on linear OA(4¹⁹⁹, 376, F₄, 65) (dual of [376, 177, 66]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(64³⁵, 94, F₆₄, 32) (dual of [94, 59, 33]-code), using
      - discarding factors / shortening the dual code based on linear OA(64³⁵, 103, F₆₄, 32) (dual of [103, 68, 33]-code), using
        algebraic-geometric code AG(F,70P) [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
        a function field by SÃ©mirat [i]
    2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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.