Information on Result #1188682
Digital (70, 82, 325522)-net over F5, using net defined by OOA based on linear OOA(582, 325522, F5, 12, 12) (dual of [(325522, 12), 3906182, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(582, 1953132, F5, 12) (dual of [1953132, 1953050, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(582, 1953134, F5, 12) (dual of [1953134, 1953052, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(573, 1953125, F5, 11) (dual of [1953125, 1953052, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(582, 1953134, F5, 12) (dual of [1953134, 1953052, 13]-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 (71, 83, 325522)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (72, 84, 325522)-net over F5 | [i] | ||
| 3 | Digital (76, 88, 325528)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (77, 89, 325532)-net over F5 | [i] | ||
| 5 | Digital (78, 90, 325536)-net over F5 | [i] | ||