Information on Result #1447292
Linear OOA(8150, 29276, F8, 2, 34) (dual of [(29276, 2), 58402, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8150, 29276, F8, 34) (dual of [29276, 29126, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(8150, 32787, F8, 34) (dual of [32787, 32637, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(29) [i] based on
- linear OA(8146, 32768, F8, 34) (dual of [32768, 32622, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(33) ⊂ Ce(29) [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(8150, 14638, F8, 3, 34) (dual of [(14638, 3), 43764, 35]-NRT-code) | [i] | OOA Folding | |