Information on Result #1746302
Digital (48, 72, 83153)-net over F81, using net defined by OOA based on linear OOA(8172, 83153, F81, 28, 24) (dual of [(83153, 28), 2328212, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8172, 249460, F81, 4, 24) (dual of [(249460, 4), 997768, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8172, 249461, F81, 4, 24) (dual of [(249461, 4), 997772, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8172, 249461, F81, 2, 24) (dual of [(249461, 2), 498850, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8172, 265726, F81, 2, 24) (dual of [(265726, 2), 531380, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8172, 531452, F81, 24) (dual of [531452, 531380, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(20) [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(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(812, 11, F81, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] based on
- OOA 2-folding [i] based on linear OA(8172, 531452, F81, 24) (dual of [531452, 531380, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(8172, 265726, F81, 2, 24) (dual of [(265726, 2), 531380, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8172, 249461, F81, 2, 24) (dual of [(249461, 2), 498850, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8172, 249461, F81, 4, 24) (dual of [(249461, 4), 997772, 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.