MinT - Information on Result #1064653

Information on Result #1064653

Linear OOA(3¹⁹³, 88, F₃, 4, 66) (dual of [(88, 4), 159, 67]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁹³, 176, F₃, 2, 66) (dual of [(176, 2), 159, 67]-NRT-code), using

strength reduction [i] based on linear OOA(3¹⁹³, 176, F₃, 2, 67) (dual of [(176, 2), 159, 68]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(27³⁵, 44, F₂₇, 2, 33) (dual of [(44, 2), 53, 34]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(27³⁵, 48, F₂₇, 2, 33) (dual of [(48, 2), 61, 34]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,62P) [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, using
        a function field by GarcÃa and Quoos [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.