MinT - Information on Result #2482240

Information on Result #2482240

Linear OOA(2²²⁸, 192, F₂, 2, 68) (dual of [(192, 2), 156, 69]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2²²⁴, 190, F₂, 2, 68) (dual of [(190, 2), 156, 69]-NRT-code), using

strength reduction [i] based on linear OOA(2²²⁴, 190, F₂, 2, 69) (dual of [(190, 2), 156, 70]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16³⁷, 38, F₁₆, 2, 34) (dual of [(38, 2), 39, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,41P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [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.