Information on Result #689723
Linear OA(9137, 6577, F9, 38) (dual of [6577, 6440, 39]-code), using construction X applied to Ce(37) ⊂ Ce(33) based on
- linear OA(9133, 6561, F9, 38) (dual of [6561, 6428, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(9121, 6561, F9, 34) (dual of [6561, 6440, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(9137, 6577, F9, 2, 38) (dual of [(6577, 2), 13017, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9137, 6577, F9, 3, 38) (dual of [(6577, 3), 19594, 39]-NRT-code) | [i] | ||
| 3 | Digital (99, 137, 6577)-net over F9 | [i] | ||
| 4 | Linear OOA(9137, 3288, F9, 2, 38) (dual of [(3288, 2), 6439, 39]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9137, 2192, F9, 3, 38) (dual of [(2192, 3), 6439, 39]-NRT-code) | [i] | ||