Information on Result #1728889
Linear OOA(8114, 8200, F8, 27, 25) (dual of [(8200, 27), 221286, 26]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(8114, 32801, F8, 3, 25) (dual of [(32801, 3), 98289, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8114, 32802, F8, 3, 25) (dual of [(32802, 3), 98292, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 32802, F8, 25) (dual of [32802, 32688, 26]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8113, 32800, F8, 25) (dual of [32800, 32687, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(18) [i] based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(24) ⊂ Ce(18) [i] based on
- linear OA(8113, 32801, F8, 24) (dual of [32801, 32688, 25]-code), using Gilbert–Varšamov bound and bm = 8113 > Vbs−1(k−1) = 77010 824640 495607 895302 842591 674104 238548 485955 522040 762847 240242 416176 920367 164619 338920 386835 360171 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(8113, 32800, F8, 25) (dual of [32800, 32687, 26]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8114, 32802, F8, 25) (dual of [32802, 32688, 26]-code), using
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 (89, 114, 8200)-net over F8 | [i] | Net Defined by OOA | |