Information on Result #697943
Linear OA(3246, 346, F32, 24) (dual of [346, 300, 25]-code), using construction X applied to Ce(23) ⊂ Ce(21) based on
- linear OA(3245, 342, F32, 24) (dual of [342, 297, 25]-code), using an extension Ce(23) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3242, 342, F32, 22) (dual of [342, 300, 23]-code), using an extension Ce(21) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(321, 4, F32, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3246, 341, F32, 2, 24) (dual of [(341, 2), 636, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (22, 46, 341)-net over F32 | [i] | ||
| 3 | Linear OOA(3246, 173, F32, 2, 24) (dual of [(173, 2), 300, 25]-NRT-code) | [i] | OOA Folding | |