Information on Result #1191794
Digital (72, 86, 299595)-net over F8, using net defined by OOA based on linear OOA(886, 299595, F8, 14, 14) (dual of [(299595, 14), 4194244, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(886, 2097165, F8, 14) (dual of [2097165, 2097079, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(886, 2097167, F8, 14) (dual of [2097167, 2097081, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(886, 2097167, F8, 14) (dual of [2097167, 2097081, 15]-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 (73, 87, 299595)-net over F8 | [i] | Net Duplication | |