Information on Result #1203297
Linear OOA(12858, 2804393, F128, 15, 10) (dual of [(2804393, 15), 42065837, 11]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(12858, 5608787, F128, 3, 10) (dual of [(5608787, 3), 16826303, 11]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using
- linear OOA(12817, 2796201, F128, 3, 5) (dual of [(2796201, 3), 8388586, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12817, 4194301, F128, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- discarding factors / shortening the dual code based on linear OOA(12817, 4194301, F128, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
- linear OOA(12837, 2796201, F128, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 4]-NRT-code), using
Mode: Constructive and 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 (48, 58, 2804393)-net over F128 | [i] | Net Defined by OOA | |