Information on Result #1315548
Linear OA(4923, 2509, F49, 10) (dual of [2509, 2486, 11]-code), using 102 step Varšamov–Edel lengthening with (ri) = (2, 1, 12 times 0, 1, 87 times 0) based on linear OA(4919, 2403, F49, 10) (dual of [2403, 2384, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4917, 2401, F49, 9) (dual of [2401, 2384, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(4923, 2509, F49, 2, 10) (dual of [(2509, 2), 4995, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4923, 2509, F49, 3, 10) (dual of [(2509, 3), 7504, 11]-NRT-code) | [i] | ||
| 3 | Digital (13, 23, 2509)-net over F49 | [i] | ||
| 4 | Linear OOA(4923, 1254, F49, 2, 10) (dual of [(1254, 2), 2485, 11]-NRT-code) | [i] | OOA Folding | |