Information on Result #1812956
Digital (36, 69, 2740)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8169, 2740, F81, 2, 33) (dual of [(2740, 2), 5411, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8169, 3287, F81, 2, 33) (dual of [(3287, 2), 6505, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8169, 6574, F81, 33) (dual of [6574, 6505, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, 6575, F81, 33) (dual of [6575, 6506, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(27) [i] based on
- linear OA(8165, 6561, F81, 33) (dual of [6561, 6496, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(814, 14, F81, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- construction X applied to Ce(32) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(8169, 6575, F81, 33) (dual of [6575, 6506, 34]-code), using
- OOA 2-folding [i] based on linear OA(8169, 6574, F81, 33) (dual of [6574, 6505, 34]-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.