Information on Result #687220
Linear OA(8115, 4105, F8, 33) (dual of [4105, 3990, 34]-code), using construction X applied to Ce(32) ⊂ Ce(29) 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]
Mode: Constructive and 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, 3697, F8, 2, 33) (dual of [(3697, 2), 7279, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8115, 3697, F8, 3, 33) (dual of [(3697, 3), 10976, 34]-NRT-code) | [i] | ||
| 3 | Digital (82, 115, 3697)-net over F8 | [i] | ||
| 4 | Linear OOA(8115, 2052, F8, 2, 33) (dual of [(2052, 2), 3989, 34]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8115, 1368, F8, 3, 33) (dual of [(1368, 3), 3989, 34]-NRT-code) | [i] | ||