MinT - Information on Result #2613547

Information on Result #2613547

Linear OOA(2¹⁵⁶, 57, F₂, 3, 89) (dual of [(57, 3), 15, 90]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁶, 57, F₂, 3, 90) (dual of [(57, 3), 15, 91]-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(2⁶, 3, F₂, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;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.