Information on Result #642895
Linear OA(4940, 56, F49, 37) (dual of [56, 16, 38]-code), using construction X applied to RS(12,49) ⊂ RS(16,49) based on
- linear OA(4937, 49, F49, 37) (dual of [49, 12, 38]-code or 49-arc in PG(36,49)), using Reed–Solomon code RS(12,49) [i]
- linear OA(4933, 49, F49, 33) (dual of [49, 16, 34]-code or 49-arc in PG(32,49)), using Reed–Solomon code RS(16,49) [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.