Information on Result #1849449
OOA(6413, 8192, S64, 9, 6), using OOA stacking with additional row based on OOA(6413, 8193, S64, 3, 6), using
- discarding parts of the base [i] based on linear OOA(12811, 8193, F128, 3, 6) (dual of [(8193, 3), 24568, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12811, 8193, F128, 2, 6) (dual of [(8193, 2), 16375, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12811, 16386, F128, 6) (dual of [16386, 16375, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1289, 16384, F128, 5) (dual of [16384, 16375, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(12811, 16386, F128, 6) (dual of [16386, 16375, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12811, 8193, F128, 2, 6) (dual of [(8193, 2), 16375, 7]-NRT-code), using
Mode: Arbitrary.
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 | (7, 13, 8192)-net in base 64 | [i] | Net Defined by OOA | |