Information on Result #737868
Linear OA(8115, 4130, F8, 30) (dual of [4130, 4015, 31]-code), using construction X applied to Ce(29) ⊂ Ce(22) 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(881, 4096, F8, 23) (dual of [4096, 4015, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(810, 34, F8, 6) (dual of [34, 24, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 39, F8, 6) (dual of [39, 29, 7]-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 OA(8117, 4132, F8, 30) (dual of [4132, 4015, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8115, 2065, F8, 2, 30) (dual of [(2065, 2), 4015, 31]-NRT-code) | [i] | OOA Folding | |