Information on Result #737857
Linear OA(8167, 4130, F8, 45) (dual of [4130, 3963, 46]-code), using construction X applied to Ce(44) ⊂ Ce(37) based on
- linear OA(8157, 4096, F8, 45) (dual of [4096, 3939, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(8133, 4096, F8, 38) (dual of [4096, 3963, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(8169, 4132, F8, 45) (dual of [4132, 3963, 46]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8167, 2065, F8, 2, 45) (dual of [(2065, 2), 3963, 46]-NRT-code) | [i] | OOA Folding | |