Information on Result #1733376
Digital (85, 117, 1096)-net over F9, using net defined by OOA based on linear OOA(9117, 1096, F9, 39, 32) (dual of [(1096, 39), 42627, 33]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(9117, 6577, F9, 3, 32) (dual of [(6577, 3), 19614, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9117, 6581, F9, 3, 32) (dual of [(6581, 3), 19626, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9117, 6581, F9, 32) (dual of [6581, 6464, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- linear OA(9113, 6561, F9, 32) (dual of [6561, 6448, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,9)), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9117, 6581, F9, 32) (dual of [6581, 6464, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(9117, 6581, F9, 3, 32) (dual of [(6581, 3), 19626, 33]-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.