Information on Result #689748
Linear OA(937, 6577, F9, 10) (dual of [6577, 6540, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
- linear OA(933, 6561, F9, 10) (dual of [6561, 6528, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(921, 6561, F9, 6) (dual of [6561, 6540, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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(937, 6577, F9, 2, 10) (dual of [(6577, 2), 13117, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(937, 6577, F9, 3, 10) (dual of [(6577, 3), 19694, 11]-NRT-code) | [i] | ||
| 3 | Digital (27, 37, 6577)-net over F9 | [i] | ||
| 4 | Linear OOA(937, 3288, F9, 2, 10) (dual of [(3288, 2), 6539, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(937, 2192, F9, 3, 10) (dual of [(2192, 3), 6539, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(937, 1315, F9, 10, 10) (dual of [(1315, 10), 13113, 11]-NRT-code) | [i] | OA Folding and Stacking | |