MinT - Information on Result #1057401

Information on Result #1057401

Linear OOA(2²⁵³, 107, F₂, 4, 76) (dual of [(107, 4), 175, 77]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵³, 214, F₂, 2, 76) (dual of [(214, 2), 175, 77]-NRT-code), using

1 step truncation [i] based on linear OOA(2²⁵⁴, 215, F₂, 2, 77) (dual of [(215, 2), 176, 78]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16⁴², 43, F₁₆, 2, 38) (dual of [(43, 2), 44, 39]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16⁴², 45, F₁₆, 2, 38) (dual of [(45, 2), 48, 39]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,51P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 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.