Information on Result #1746230
Digital (48, 71, 88576)-net over F81, using net defined by OOA based on linear OOA(8171, 88576, F81, 28, 23) (dual of [(88576, 28), 2480057, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8171, 265729, F81, 4, 23) (dual of [(265729, 4), 1062845, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8171, 265730, F81, 4, 23) (dual of [(265730, 4), 1062849, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8171, 265730, F81, 2, 23) (dual of [(265730, 2), 531389, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8171, 531460, F81, 23) (dual of [531460, 531389, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(8167, 531441, F81, 23) (dual of [531441, 531374, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(814, 19, F81, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(8171, 531460, F81, 23) (dual of [531460, 531389, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8171, 265730, F81, 2, 23) (dual of [(265730, 2), 531389, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8171, 265730, F81, 4, 23) (dual of [(265730, 4), 1062849, 24]-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.