MinT - Information on Result #965162

Information on Result #965162

Linear OOA(4¹³⁴, 78, F₄, 3, 51) (dual of [(78, 3), 100, 52]-NRT-code), using OOA 3-folding based on linear OA(4¹³⁴, 234, F₄, 51) (dual of [234, 100, 52]-code), using

discarding factors / shortening the dual code based on linear OA(4¹³⁴, 236, F₄, 51) (dual of [236, 102, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁵, 59, F₆₄, 25) (dual of [59, 34, 26]-code or 59-arc in PG(24,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²⁵, 64, F₆₄, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
      - Reedâ€“Solomon code RS(39,64) [i]
  2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.