Information on Result #1189522
Digital (119, 144, 6512)-net over F5, using net defined by OOA based on linear OOA(5144, 6512, F5, 25, 25) (dual of [(6512, 25), 162656, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(5144, 78145, F5, 25) (dual of [78145, 78001, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5144, 78149, F5, 25) (dual of [78149, 78005, 26]-code), using
- 1 times truncation [i] based on linear OA(5145, 78150, F5, 26) (dual of [78150, 78005, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5120, 78125, F5, 22) (dual of [78125, 78005, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- 1 times truncation [i] based on linear OA(5145, 78150, F5, 26) (dual of [78150, 78005, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5144, 78149, F5, 25) (dual of [78149, 78005, 26]-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 (120, 145, 6512)-net over F5 | [i] | Net Duplication | |