Information on Result #1745492
Digital (14, 26, 1669)-net over F81, using net defined by OOA based on linear OOA(8126, 1669, F81, 15, 12) (dual of [(1669, 15), 25009, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8126, 3339, F81, 3, 12) (dual of [(3339, 3), 9991, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8126, 3339, F81, 12) (dual of [3339, 3313, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8126, 6572, F81, 12) (dual of [6572, 6546, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- linear OA(8123, 6561, F81, 12) (dual of [6561, 6538, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(813, 11, F81, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,81) or 11-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(11) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(8126, 6572, F81, 12) (dual of [6572, 6546, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8126, 3339, F81, 12) (dual of [3339, 3313, 13]-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.