Information on Result #1315621
Linear OA(4946, 2539, F49, 20) (dual of [2539, 2493, 21]-code), using 129 step Varšamov–Edel lengthening with (ri) = (4, 0, 0, 0, 1, 10 times 0, 1, 30 times 0, 1, 82 times 0) based on linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(4937, 2401, F49, 19) (dual of [2401, 2364, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(4946, 2539, F49, 2, 20) (dual of [(2539, 2), 5032, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4946, 2539, F49, 3, 20) (dual of [(2539, 3), 7571, 21]-NRT-code) | [i] | ||
| 3 | Digital (26, 46, 2539)-net over F49 | [i] | ||
| 4 | Linear OOA(4946, 1269, F49, 2, 20) (dual of [(1269, 2), 2492, 21]-NRT-code) | [i] | OOA Folding | |