MinT - Information on Result #957178

Information on Result #957178

Linear OOA(3¹⁷⁰, 87, F₃, 3, 60) (dual of [(87, 3), 91, 61]-NRT-code), using OOA 3-folding based on linear OA(3¹⁷⁰, 261, F₃, 60) (dual of [261, 91, 61]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁷⁰, 263, F₃, 60) (dual of [263, 93, 61]-code), using
- 1 times truncation [i] based on linear OA(3¹⁷¹, 264, F₃, 61) (dual of [264, 93, 62]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(27³⁵, 66, F₂₇, 30) (dual of [66, 31, 31]-code), using
      - discarding factors / shortening the dual code based on linear OA(27³⁵, 68, F₂₇, 30) (dual of [68, 33, 31]-code), using
        extended algebraic-geometric code AG_e(F,37P) [i] based on function field F/F₂₇ with g(F) = 5 and N(F) ≥ 68, 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.