Information on Result #1727325
Linear OOA(861, 16396, F8, 15, 13) (dual of [(16396, 15), 245879, 14]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(861, 32793, F8, 3, 13) (dual of [(32793, 3), 98318, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(861, 32794, F8, 3, 13) (dual of [(32794, 3), 98321, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(861, 32794, F8, 13) (dual of [32794, 32733, 14]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(860, 32792, F8, 13) (dual of [32792, 32732, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(860, 32793, F8, 12) (dual of [32793, 32733, 13]-code), using Gilbert–Varšamov bound and bm = 860 > Vbs−1(k−1) = 2331 642731 932600 130325 166091 423441 526316 248204 768498 [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(860, 32792, F8, 13) (dual of [32792, 32732, 14]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(861, 32794, F8, 13) (dual of [32794, 32733, 14]-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 (48, 61, 16396)-net over F8 | [i] | Net Defined by OOA | |