Information on Result #1189364
Digital (61, 82, 313)-net over F5, using net defined by OOA based on linear OOA(582, 313, F5, 21, 21) (dual of [(313, 21), 6491, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(582, 3131, F5, 21) (dual of [3131, 3049, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(51, 6, F5, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
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 (62, 82, 313)-net over F5 | [i] | t-Expansion | |
| 2 | Digital (62, 83, 313)-net over F5 | [i] | Net Duplication | |
| 3 | Digital (63, 84, 313)-net over F5 | [i] | ||