Information on Result #2284480
Linear OA(9118, 6582, F9, 32) (dual of [6582, 6464, 33]-code), using 1 times code embedding in larger space based on linear OA(9117, 6581, F9, 32) (dual of [6581, 6464, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(27) [i] 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 OOA(9118, 3291, F9, 2, 32) (dual of [(3291, 2), 6464, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9118, 2194, F9, 3, 32) (dual of [(2194, 3), 6464, 33]-NRT-code) | [i] | ||