Information on Result #1813248
Digital (54, 81, 234611)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8181, 234611, F81, 2, 27) (dual of [(234611, 2), 469141, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8181, 265726, F81, 2, 27) (dual of [(265726, 2), 531371, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8181, 531452, F81, 27) (dual of [531452, 531371, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- linear OA(8179, 531441, F81, 27) (dual of [531441, 531362, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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(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(26) ⊂ Ce(23) [i] based on
- OOA 2-folding [i] based on linear OA(8181, 531452, F81, 27) (dual of [531452, 531371, 28]-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.