Information on Result #1447627
Linear OOA(8155, 30789, F8, 2, 35) (dual of [(30789, 2), 61423, 36]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8155, 30789, F8, 35) (dual of [30789, 30634, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(8155, 32787, F8, 35) (dual of [32787, 32632, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(8151, 32768, F8, 35) (dual of [32768, 32617, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(84, 19, F8, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,8)), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8155, 15394, F8, 3, 35) (dual of [(15394, 3), 46027, 36]-NRT-code) | [i] | OOA Folding | |