Information on Result #1767965
Digital (167, 201, 7145)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3201, 7145, F3, 2, 34) (dual of [(7145, 2), 14089, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3201, 9847, F3, 2, 34) (dual of [(9847, 2), 19493, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3201, 19694, F3, 34) (dual of [19694, 19493, 35]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3200, 19693, F3, 34) (dual of [19693, 19493, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(31) [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(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(31) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3200, 19693, F3, 34) (dual of [19693, 19493, 35]-code), using
- OOA 2-folding [i] based on linear OA(3201, 19694, F3, 34) (dual of [19694, 19493, 35]-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.