MinT - Information on Result #1063490

Information on Result #1063490

Linear OOA(3¹²³, 48, F₃, 4, 50) (dual of [(48, 4), 69, 51]-NRT-code), using OOA 2-folding based on linear OOA(3¹²³, 96, F₃, 2, 50) (dual of [(96, 2), 69, 51]-NRT-code), using

strength reduction [i] based on linear OOA(3¹²³, 96, F₃, 2, 51) (dual of [(96, 2), 69, 52]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(27²⁵, 24, F₂₇, 2, 25) (dual of [(24, 2), 23, 26]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(27²⁵, 27, F₂₇, 2, 25) (dual of [(27, 2), 29, 26]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;29,27) [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.