Information on Result #1061064
Linear OOA(3217, 1195754, F3, 4, 23) (dual of [(1195754, 4), 4782799, 24]-NRT-code), using OOA 4-folding based on linear OA(3217, 4783016, F3, 23) (dual of [4783016, 4782799, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3217, 4783017, F3, 23) (dual of [4783017, 4782800, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(3211, 4782969, F3, 23) (dual of [4782969, 4782758, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
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(3218, 1195754, F3, 4, 23) (dual of [(1195754, 4), 4782798, 24]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3219, 1195754, F3, 4, 23) (dual of [(1195754, 4), 4782797, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3217, 1195754, F3, 5, 23) (dual of [(1195754, 5), 5978553, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (194, 217, 1195754)-net over F3 | [i] | ||