Information on Result #1203378
Digital (23, 35, 349526)-net over F128, using net defined by OOA based on linear OOA(12835, 349526, F128, 12, 12) (dual of [(349526, 12), 4194277, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(12835, 2097156, F128, 12) (dual of [2097156, 2097121, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12835, 2097159, F128, 12) (dual of [2097159, 2097124, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1281, 7, F128, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(12835, 2097159, F128, 12) (dual of [2097159, 2097124, 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 (30, 42, 349676)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (37, 49, 349526)-net in base 32 | [i] | Base Change | |