Information on Result #1743170
Digital (36, 48, 2882409)-net over F49, using net defined by OOA based on linear OOA(4948, 2882409, F49, 15, 12) (dual of [(2882409, 15), 43236087, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4948, 5764819, F49, 3, 12) (dual of [(5764819, 3), 17294409, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4948, 5764820, F49, 3, 12) (dual of [(5764820, 3), 17294412, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4948, 5764820, F49, 12) (dual of [5764820, 5764772, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(493, 19, F49, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,49) or 19-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
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4948, 5764820, F49, 12) (dual of [5764820, 5764772, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(4948, 5764820, F49, 3, 12) (dual of [(5764820, 3), 17294412, 13]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.