Information on Result #687349
Linear OA(8148, 4127, F8, 40) (dual of [4127, 3979, 41]-code), using construction X applied to Ce(40) ⊂ Ce(33) based on
- linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- 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(87, 31, F8, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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(8149, 4128, F8, 40) (dual of [4128, 3979, 41]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8148, 2063, F8, 2, 40) (dual of [(2063, 2), 3978, 41]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8148, 1375, F8, 3, 40) (dual of [(1375, 3), 3977, 41]-NRT-code) | [i] | ||