Information on Result #3224711
Digital (116, 136, 39066)-net over F5, using t-expansion based on digital (115, 136, 39066)-net over F5, using
- net defined by OOA [i] based on linear OOA(5136, 39066, F5, 21, 21) (dual of [(39066, 21), 820250, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5136, 390661, F5, 21) (dual of [390661, 390525, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5136, 390664, F5, 21) (dual of [390664, 390528, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(57, 39, F5, 4) (dual of [39, 32, 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(20) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(5136, 390664, F5, 21) (dual of [390664, 390528, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5136, 390661, F5, 21) (dual of [390661, 390525, 22]-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 (117, 137, 39066)-net over F5 | [i] | Net Duplication | |