MinT - Information on Result #1056634

Information on Result #1056634

Linear OOA(2²²⁴, 100, F₂, 4, 64) (dual of [(100, 4), 176, 65]-NRT-code), using OOA 2-folding based on linear OOA(2²²⁴, 200, F₂, 2, 64) (dual of [(200, 2), 176, 65]-NRT-code), using

strength reduction [i] based on linear OOA(2²²⁴, 200, F₂, 2, 65) (dual of [(200, 2), 176, 66]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16³⁶, 40, F₁₆, 2, 32) (dual of [(40, 2), 44, 33]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16³⁶, 45, F₁₆, 2, 32) (dual of [(45, 2), 54, 33]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,57P) [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.