Information on Result #687384
Linear OA(8151, 4142, F8, 39) (dual of [4142, 3991, 40]-code), using construction X applied to Ce(38) ⊂ Ce(29) based on
- linear OA(8137, 4096, F8, 39) (dual of [4096, 3959, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(814, 46, F8, 8) (dual of [46, 32, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-code), 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(8151, 2071, F8, 2, 39) (dual of [(2071, 2), 3991, 40]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8151, 1380, F8, 3, 39) (dual of [(1380, 3), 3989, 40]-NRT-code) | [i] | ||