Information on Result #689757
Linear OA(9117, 6581, F9, 32) (dual of [6581, 6464, 33]-code), using construction X applied to Ce(31) ⊂ Ce(27) based on
- 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(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-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 OA(9118, 6582, F9, 32) (dual of [6582, 6464, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9117, 6581, F9, 2, 32) (dual of [(6581, 2), 13045, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9117, 6581, F9, 3, 32) (dual of [(6581, 3), 19626, 33]-NRT-code) | [i] | ||
| 4 | Digital (85, 117, 6581)-net over F9 | [i] | ||
| 5 | Linear OOA(9117, 3290, F9, 2, 32) (dual of [(3290, 2), 6463, 33]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9117, 2193, F9, 3, 32) (dual of [(2193, 3), 6462, 33]-NRT-code) | [i] | ||