Information on Result #1445364
Linear OOA(8115, 27272, F8, 2, 26) (dual of [(27272, 2), 54429, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8115, 27272, F8, 26) (dual of [27272, 27157, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8115, 32787, F8, 26) (dual of [32787, 32672, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(25) ⊂ Ce(21) [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(8115, 13636, F8, 3, 26) (dual of [(13636, 3), 40793, 27]-NRT-code) | [i] | OOA Folding | |