Information on Result #687222
Linear OA(8106, 4105, F8, 30) (dual of [4105, 3999, 31]-code), using construction X applied to Ce(29) ⊂ Ce(27) based on
- 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(897, 4096, F8, 28) (dual of [4096, 3999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(8106, 3914, F8, 2, 30) (dual of [(3914, 2), 7722, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8106, 3914, F8, 3, 30) (dual of [(3914, 3), 11636, 31]-NRT-code) | [i] | ||
| 3 | Digital (76, 106, 3914)-net over F8 | [i] | ||
| 4 | Linear OOA(8106, 2052, F8, 2, 30) (dual of [(2052, 2), 3998, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8106, 1368, F8, 3, 30) (dual of [(1368, 3), 3998, 31]-NRT-code) | [i] | ||