Information on Result #1730629
Linear OOA(923, 116657, F9, 6, 5) (dual of [(116657, 6), 699919, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(923, 116658, F9, 2, 5) (dual of [(116658, 2), 233293, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(923, 116658, F9, 5) (dual of [116658, 116635, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(90, 12962, F9, 0) (dual of [12962, 12962, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 12962, F9, 0) (dual of [12962, 12962, 1]-code) (see above)
- linear OA(90, 12962, F9, 0) (dual of [12962, 12962, 1]-code) (see above)
- linear OA(90, 12962, F9, 0) (dual of [12962, 12962, 1]-code) (see above)
- linear OA(91, 12962, F9, 1) (dual of [12962, 12961, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(91, 12962, F9, 1) (dual of [12962, 12961, 2]-code) (see above)
- linear OA(91, 12962, F9, 1) (dual of [12962, 12961, 2]-code) (see above)
- linear OA(96, 12962, F9, 2) (dual of [12962, 12956, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 59049, F9, 2) (dual of [59049, 59043, 3]-code), using
- an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(96, 59049, F9, 2) (dual of [59049, 59043, 3]-code), using
- linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- linear OA(90, 12962, F9, 0) (dual of [12962, 12962, 1]-code), using
- generalized (u, u+v)-construction [i] based on
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (18, 23, 116657)-net over F9 | [i] | Net Defined by OOA | |