Information on Result #2283331
Linear OA(955, 4783002, F9, 8) (dual of [4783002, 4782947, 9]-code), using 1 times code embedding in larger space based on linear OA(954, 4783001, F9, 8) (dual of [4783001, 4782947, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(922, 4782969, F9, 4) (dual of [4782969, 4782947, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-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(955, 2391501, F9, 2, 8) (dual of [(2391501, 2), 4782947, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(955, 1594334, F9, 3, 8) (dual of [(1594334, 3), 4782947, 9]-NRT-code) | [i] | ||