MinT - Information on Result #1058048

Information on Result #1058048

Linear OOA(2²¹⁵, 63, F₂, 4, 90) (dual of [(63, 4), 37, 91]-NRT-code), using OOA 2-folding based on linear OOA(2²¹⁵, 126, F₂, 2, 90) (dual of [(126, 2), 37, 91]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²¹⁵, 127, F₂, 2, 90) (dual of [(127, 2), 39, 91]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2²¹⁶, 128, F₂, 2, 91) (dual of [(128, 2), 40, 92]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(16²², 16, F₁₆, 2, 22) (dual of [(16, 2), 10, 23]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;10,16) [i]
    2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
      - Reedâ€“Muller code RM(1,3) [i]
      - caps in base bÂ =Â 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.