MinT - Information on Result #810590

Information on Result #810590

Linear OOA(2²⁵⁹, 234, F₂, 2, 63) (dual of [(234, 2), 209, 64]-NRT-code), using OOA 2-folding based on linear OA(2²⁵⁹, 468, F₂, 63) (dual of [468, 209, 64]-code), using

discarding factors / shortening the dual code based on linear OA(2²⁵⁹, 469, F₂, 63) (dual of [469, 210, 64]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³², 67, F₆₄, 31) (dual of [67, 35, 32]-code), using
    - discarding factors / shortening the dual code based on linear OA(64³², 79, F₆₄, 31) (dual of [79, 47, 32]-code), using
      - algebraic-geometric code AG(F,47P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
        a function field by SÃ©mirat [i]
  2. linear OA(2¹, 7, F₂, 1) (dual of [7, 6, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 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.