Information on Result #1315642
Linear OA(4951, 2609, F49, 22) (dual of [2609, 2558, 23]-code), using 198 step Varšamov–Edel lengthening with (ri) = (4, 0, 1, 6 times 0, 1, 17 times 0, 1, 48 times 0, 1, 121 times 0) based on linear OA(4943, 2403, F49, 22) (dual of [2403, 2360, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4941, 2401, F49, 21) (dual of [2401, 2360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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: 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(4951, 2609, F49, 2, 22) (dual of [(2609, 2), 5167, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4951, 2609, F49, 3, 22) (dual of [(2609, 3), 7776, 23]-NRT-code) | [i] | ||
| 3 | Digital (29, 51, 2609)-net over F49 | [i] | ||
| 4 | Linear OOA(4951, 1304, F49, 2, 22) (dual of [(1304, 2), 2557, 23]-NRT-code) | [i] | OOA Folding | |