Information on Result #1716650
Digital (175, 209, 2374)-net over F3, using net defined by OOA based on linear OOA(3209, 2374, F3, 45, 34) (dual of [(2374, 45), 106621, 35]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3209, 9497, F3, 5, 34) (dual of [(9497, 5), 47276, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3209, 9497, F3, 2, 34) (dual of [(9497, 2), 18785, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3209, 9861, F3, 2, 34) (dual of [(9861, 2), 19513, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3209, 19722, F3, 34) (dual of [19722, 19513, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(27) [i] based on
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to Ce(33) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(3209, 19722, F3, 34) (dual of [19722, 19513, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(3209, 9861, F3, 2, 34) (dual of [(9861, 2), 19513, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3209, 9497, F3, 2, 34) (dual of [(9497, 2), 18785, 35]-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.