Information on Result #1189366
Digital (64, 85, 314)-net over F5, using net defined by OOA based on linear OOA(585, 314, F5, 21, 21) (dual of [(314, 21), 6509, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(585, 3141, F5, 21) (dual of [3141, 3056, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(585, 3144, F5, 21) (dual of [3144, 3059, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(16) [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(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(20) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(585, 3144, F5, 21) (dual of [3144, 3059, 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 (65, 85, 314)-net over F5 | [i] | t-Expansion | |
| 2 | Digital (65, 86, 314)-net over F5 | [i] | Net Duplication | |