Information on Result #689808
Linear OA(9141, 6601, F9, 37) (dual of [6601, 6460, 38]-code), using construction X applied to Ce(36) ⊂ Ce(28) based on
- linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9101, 6561, F9, 29) (dual of [6561, 6460, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
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(9142, 6602, F9, 37) (dual of [6602, 6460, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9140, 6600, F9, 36) (dual of [6600, 6460, 37]-code) | [i] | Truncation | |
| 3 | Linear OOA(9141, 3300, F9, 2, 37) (dual of [(3300, 2), 6459, 38]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(9141, 2200, F9, 3, 37) (dual of [(2200, 3), 6459, 38]-NRT-code) | [i] | ||