Information on Result #737874
Linear OA(8151, 4134, F8, 40) (dual of [4134, 3983, 41]-code), using construction X applied to Ce(40) ⊂ Ce(32) 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(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(810, 38, F8, 6) (dual of [38, 28, 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 OOA(8151, 2067, F8, 2, 40) (dual of [(2067, 2), 3983, 41]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8151, 1378, F8, 3, 40) (dual of [(1378, 3), 3983, 41]-NRT-code) | [i] | ||