MinT - Information on Result #2491200

Information on Result #2491200

Linear OOA(3²⁵⁰, 240, F₃, 2, 78) (dual of [(240, 2), 230, 79]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁴⁹, 240, F₃, 2, 78) (dual of [(240, 2), 231, 79]-NRT-code), using

strength reduction [i] based on linear OOA(3²⁴⁹, 240, F₃, 2, 79) (dual of [(240, 2), 231, 80]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(27⁴³, 60, F₂₇, 2, 39) (dual of [(60, 2), 77, 40]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(27⁴³, 64, F₂₇, 2, 39) (dual of [(64, 2), 85, 40]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,88P) [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, using
        a function field by SÃ©mirat [i]
  2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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.