Information on Result #1728165
Linear OOA(8112, 65546, F8, 27, 20) (dual of [(65546, 27), 1769630, 21]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(8112, 262185, F8, 3, 20) (dual of [(262185, 3), 786443, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8112, 262185, F8, 20) (dual of [262185, 262073, 21]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8110, 262181, F8, 20) (dual of [262181, 262071, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 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(19) ⊂ Ce(13) [i] based on
- linear OA(8110, 262183, F8, 19) (dual of [262183, 262073, 20]-code), using Gilbert–Varšamov bound and bm = 8110 > Vbs−1(k−1) = 8 710161 600991 020368 688753 382132 765152 720519 279504 588499 234014 466053 973854 027834 089049 412081 126492 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 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(8110, 262181, F8, 20) (dual of [262181, 262071, 21]-code), using
- construction X with Varšamov bound [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 (92, 112, 65546)-net over F8 | [i] | Net Defined by OOA | |