Information on Result #642920
Linear OA(4915, 56, F49, 12) (dual of [56, 41, 13]-code), using construction X applied to RS(37,49) ⊂ RS(41,49) 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(498, 49, F49, 8) (dual of [49, 41, 9]-code or 49-arc in PG(7,49)), using Reed–Solomon code RS(41,49) [i]
- linear OA(493, 7, F49, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,49) or 7-cap in PG(2,49)), using
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- Reed–Solomon code RS(46,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), 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.