Information on Result #737950
Linear OA(9134, 6581, F9, 37) (dual of [6581, 6447, 38]-code), using construction X applied to Ce(36) ⊂ Ce(31) 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(9113, 6561, F9, 32) (dual of [6561, 6448, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(95, 20, F9, 4) (dual of [20, 15, 5]-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(9134, 6581, F9, 2, 37) (dual of [(6581, 2), 13028, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9134, 6581, F9, 3, 37) (dual of [(6581, 3), 19609, 38]-NRT-code) | [i] | ||
| 3 | Digital (97, 134, 6581)-net over F9 | [i] | ||
| 4 | Linear OOA(9134, 3290, F9, 2, 37) (dual of [(3290, 2), 6446, 38]-NRT-code) | [i] | OOA Folding | |