MinT - Information on Result #1058890

Information on Result #1058890

Linear OOA(2²⁴³, 65, F₂, 4, 120) (dual of [(65, 4), 17, 121]-NRT-code), using OOA 2-folding based on linear OOA(2²⁴³, 130, F₂, 2, 120) (dual of [(130, 2), 17, 121]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²⁴³, 131, F₂, 2, 120) (dual of [(131, 2), 19, 121]-NRT-code), using
- 9 step truncation [i] based on linear OOA(2²⁵², 136, F₂, 2, 129) (dual of [(136, 2), 20, 130]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
      - extended Reedâ€“Solomon code RS_e(5,16) [i]
    2. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
      - an explicit generator matrix by Edel [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.