Information on Result #1189164
Digital (59, 77, 350)-net over F5, using net defined by OOA based on linear OOA(577, 350, F5, 18, 18) (dual of [(350, 18), 6223, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(577, 3150, F5, 18) (dual of [3150, 3073, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(577, 3151, F5, 18) (dual of [3151, 3074, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(551, 3125, F5, 13) (dual of [3125, 3074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(56, 26, F5, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(577, 3151, F5, 18) (dual of [3151, 3074, 19]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (60, 78, 350)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (61, 79, 350)-net over F5 | [i] | ||