MinT - Information on Result #2456792

Information on Result #2456792

Linear OOA(2⁹⁵, 55, F₂, 2, 46) (dual of [(55, 2), 15, 47]-NRT-code), using 4 step truncation based on linear OOA(2⁹⁹, 57, F₂, 2, 50) (dual of [(57, 2), 15, 51]-NRT-code), using

strength reduction [i] based on linear OOA(2⁹⁹, 57, F₂, 2, 51) (dual of [(57, 2), 15, 52]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(8¹⁴, 19, F₈, 12) (dual of [19, 5, 13]-code), using
    - 1 times truncation [i] based on linear OA(8¹⁵, 20, F₈, 13) (dual of [20, 5, 14]-code), using
      - generator matrices provided on Edelâ€™s homepage [i]
  2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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.