Information on Result #642961
Linear OA(4916, 58, F49, 12) (dual of [58, 42, 13]-code), using construction X applied to RS(37,49) ⊂ RS(42,49) based on
- linear OA(4912, 49, F49, 12) (dual of [49, 37, 13]-code or 49-arc in PG(11,49)), using Reed–Solomon code RS(37,49) [i]
- linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), using Reed–Solomon code RS(42,49) [i]
- linear OA(494, 9, F49, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,49)), using
- discarding factors / shortening the dual code based on linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), using
- Reed–Solomon code RS(45,49) [i]
- discarding factors / shortening the dual code based on linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), using
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.