Information on Result #1745792
Digital (34, 51, 132862)-net over F81, using net defined by OOA based on linear OOA(8151, 132862, F81, 20, 17) (dual of [(132862, 20), 2657189, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8151, 265725, F81, 4, 17) (dual of [(265725, 4), 1062849, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8151, 265726, F81, 4, 17) (dual of [(265726, 4), 1062853, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8151, 265726, F81, 2, 17) (dual of [(265726, 2), 531401, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8151, 531452, F81, 17) (dual of [531452, 531401, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(16) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(8151, 531452, F81, 17) (dual of [531452, 531401, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8151, 265726, F81, 2, 17) (dual of [(265726, 2), 531401, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8151, 265726, F81, 4, 17) (dual of [(265726, 4), 1062853, 18]-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.