Information on Result #1745450
Digital (12, 23, 1641)-net over F81, using net defined by OOA based on linear OOA(8123, 1641, F81, 15, 11) (dual of [(1641, 15), 24592, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8123, 3283, F81, 3, 11) (dual of [(3283, 3), 9826, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8123, 3284, F81, 3, 11) (dual of [(3284, 3), 9829, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8123, 3284, F81, 2, 11) (dual of [(3284, 2), 6545, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8123, 6568, F81, 11) (dual of [6568, 6545, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(8123, 6569, F81, 11) (dual of [6569, 6546, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(8121, 6561, F81, 11) (dual of [6561, 6540, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(812, 8, F81, 2) (dual of [8, 6, 3]-code or 8-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(10) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(8123, 6569, F81, 11) (dual of [6569, 6546, 12]-code), using
- OOA 2-folding [i] based on linear OA(8123, 6568, F81, 11) (dual of [6568, 6545, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8123, 3284, F81, 2, 11) (dual of [(3284, 2), 6545, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8123, 3284, F81, 3, 11) (dual of [(3284, 3), 9829, 12]-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.