Information on Result #687217
Linear OA(8119, 4105, F8, 34) (dual of [4105, 3986, 35]-code), using construction X applied to Ce(33) ⊂ Ce(30) based on
- linear OA(8117, 4096, F8, 34) (dual of [4096, 3979, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8109, 4096, F8, 31) (dual of [4096, 3987, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(8119, 3889, F8, 2, 34) (dual of [(3889, 2), 7659, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8119, 3889, F8, 3, 34) (dual of [(3889, 3), 11548, 35]-NRT-code) | [i] | ||
| 3 | Digital (85, 119, 3889)-net over F8 | [i] | ||
| 4 | Linear OOA(8119, 2052, F8, 2, 34) (dual of [(2052, 2), 3985, 35]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8119, 1368, F8, 3, 34) (dual of [(1368, 3), 3985, 35]-NRT-code) | [i] | ||