Information on Result #1061386
Linear OOA(3245, 1195754, F3, 4, 26) (dual of [(1195754, 4), 4782771, 27]-NRT-code), using OOA 4-folding based on linear OA(3245, 4783016, F3, 26) (dual of [4783016, 4782771, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3245, 4783017, F3, 26) (dual of [4783017, 4782772, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(3239, 4782969, F3, 26) (dual of [4782969, 4782730, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3197, 4782969, F3, 22) (dual of [4782969, 4782772, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(25) ⊂ Ce(21) [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(3246, 1195754, F3, 4, 26) (dual of [(1195754, 4), 4782770, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3247, 1195754, F3, 4, 26) (dual of [(1195754, 4), 4782769, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3245, 1195754, F3, 5, 26) (dual of [(1195754, 5), 5978525, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (219, 245, 1195754)-net over F3 | [i] | ||