Information on Result #729361
Linear OA(4928, 109, F49, 17) (dual of [109, 81, 18]-code), using construction X applied to C([17,33]) ⊂ C([19,31]) based on
- linear OA(4925, 100, F49, 17) (dual of [100, 75, 18]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {17,18,…,33}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4919, 100, F49, 13) (dual of [100, 81, 14]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {19,20,…,31}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(493, 9, F49, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,49) or 9-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.