Information on Result #689107
Linear OA(9118, 4782996, F9, 19) (dual of [4782996, 4782878, 20]-code), using construction XX applied to Ce(18) ⊂ Ce(14) ⊂ Ce(13) based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(94, 26, F9, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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, 3313506, F9, 2, 19) (dual of [(3313506, 2), 6626894, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9118, 3313506, F9, 3, 19) (dual of [(3313506, 3), 9940400, 20]-NRT-code) | [i] | ||
| 3 | Digital (99, 118, 3313506)-net over F9 | [i] | ||
| 4 | Linear OOA(9118, 2391498, F9, 2, 19) (dual of [(2391498, 2), 4782878, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9118, 1594332, F9, 3, 19) (dual of [(1594332, 3), 4782878, 20]-NRT-code) | [i] | ||