Information on Result #1061607
Linear OOA(3246, 398596, F3, 4, 28) (dual of [(398596, 4), 1594138, 29]-NRT-code), using OOA 4-folding based on linear OA(3246, 1594384, F3, 28) (dual of [1594384, 1594138, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3246, 1594386, F3, 28) (dual of [1594386, 1594140, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(27) ⊂ 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, 398596, F3, 4, 27) (dual of [(398596, 4), 1594138, 28]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3247, 398596, F3, 4, 28) (dual of [(398596, 4), 1594137, 29]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3246, 398596, F3, 5, 28) (dual of [(398596, 5), 1992734, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (218, 246, 398596)-net over F3 | [i] | ||