MinT - Information on Result #848952

Information on Result #848952

Linear OOA(8¹³⁹, 91, F₈, 2, 79) (dual of [(91, 2), 43, 80]-NRT-code), using OOA 2-folding based on linear OA(8¹³⁹, 182, F₈, 79) (dual of [182, 43, 80]-code), using

discarding factors / shortening the dual code based on linear OA(8¹³⁹, 183, F₈, 79) (dual of [183, 44, 80]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³⁹, 61, F₆₄, 39) (dual of [61, 22, 40]-code or 61-arc in PG(38,64)), using
    - discarding factors / shortening the dual code based on linear OA(64³⁹, 64, F₆₄, 39) (dual of [64, 25, 40]-code or 64-arc in PG(38,64)), using
      - Reedâ€“Solomon code RS(25,64) [i]
  2. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 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.