Information on Result #1187466
Digital (132, 158, 5043)-net over F4, using net defined by OOA based on linear OOA(4158, 5043, F4, 26, 26) (dual of [(5043, 26), 130960, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(4158, 65559, F4, 26) (dual of [65559, 65401, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4158, 65565, F4, 26) (dual of [65565, 65407, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(45, 29, F4, 3) (dual of [29, 24, 4]-code or 29-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4158, 65565, F4, 26) (dual of [65565, 65407, 27]-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 (133, 159, 5043)-net over F4 | [i] | Net Duplication | |