Information on Result #1315555
Linear OA(4927, 3554, F49, 11) (dual of [3554, 3527, 12]-code), using 1145 step Varšamov–Edel lengthening with (ri) = (3, 7 times 0, 1, 53 times 0, 1, 268 times 0, 1, 813 times 0) based on linear OA(4921, 2403, F49, 11) (dual of [2403, 2382, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(4921, 2401, F49, 11) (dual of [2401, 2380, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 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(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(4927, 3554, F49, 2, 11) (dual of [(3554, 2), 7081, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4927, 3554, F49, 3, 11) (dual of [(3554, 3), 10635, 12]-NRT-code) | [i] | ||
| 3 | Digital (16, 27, 3554)-net over F49 | [i] | ||
| 4 | Linear OOA(4927, 1777, F49, 2, 11) (dual of [(1777, 2), 3527, 12]-NRT-code) | [i] | OOA Folding | |