Information on Result #1746304
Digital (49, 73, 88575)-net over F81, using net defined by OOA based on linear OOA(8173, 88575, F81, 28, 24) (dual of [(88575, 28), 2480027, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8173, 265726, F81, 4, 24) (dual of [(265726, 4), 1062831, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8173, 265728, F81, 4, 24) (dual of [(265728, 4), 1062839, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8173, 265728, F81, 2, 24) (dual of [(265728, 2), 531383, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8173, 531456, F81, 24) (dual of [531456, 531383, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(19) [i] based on
- linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8158, 531441, F81, 20) (dual of [531441, 531383, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(813, 15, F81, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,81) or 15-cap in PG(2,81)), using
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using
- Reed–Solomon code RS(78,81) [i]
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using
- construction X applied to Ce(23) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(8173, 531456, F81, 24) (dual of [531456, 531383, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8173, 265728, F81, 2, 24) (dual of [(265728, 2), 531383, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8173, 265728, F81, 4, 24) (dual of [(265728, 4), 1062839, 25]-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.