Information on Result #1187048
Digital (109, 130, 6557)-net over F4, using net defined by OOA based on linear OOA(4130, 6557, F4, 21, 21) (dual of [(6557, 21), 137567, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4130, 65571, F4, 21) (dual of [65571, 65441, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4130, 65572, F4, 21) (dual of [65572, 65442, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(489, 65536, F4, 15) (dual of [65536, 65447, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(4130, 65572, F4, 21) (dual of [65572, 65442, 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 (109, 129, 6557)-net over F4 | [i] | m-Reduction | |