Information on Result #989033
Linear OOA(4955, 801, F49, 3, 28) (dual of [(801, 3), 2348, 29]-NRT-code), using OOA 3-folding based on linear OA(4955, 2403, F49, 28) (dual of [2403, 2348, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(4955, 2401, F49, 28) (dual of [2401, 2346, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(4953, 2401, F49, 27) (dual of [2401, 2348, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-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 | Digital (27, 55, 801)-net over F49 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |