Information on Result #1189296
Digital (124, 143, 217018)-net over F5, using net defined by OOA based on linear OOA(5143, 217018, F5, 19, 19) (dual of [(217018, 19), 4123199, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(5143, 1953163, F5, 19) (dual of [1953163, 1953020, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(5143, 1953168, F5, 19) (dual of [1953168, 1953025, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(5100, 1953125, F5, 14) (dual of [1953125, 1953025, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(57, 43, F5, 4) (dual of [43, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(5143, 1953168, F5, 19) (dual of [1953168, 1953025, 20]-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 (125, 144, 217018)-net over F5 | [i] | Net Duplication | |