Information on Result #1445357
Linear OOA(8115, 3697, F8, 2, 33) (dual of [(3697, 2), 7279, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8115, 3697, F8, 33) (dual of [3697, 3582, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8115, 4105, F8, 33) (dual of [4105, 3990, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8105, 4096, F8, 30) (dual of [4096, 3991, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- construction X applied to Ce(32) ⊂ 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(8115, 1848, F8, 3, 33) (dual of [(1848, 3), 5429, 34]-NRT-code) | [i] | OOA Folding | |