Information on Result #698119
Linear OA(4929, 117656, F49, 10) (dual of [117656, 117627, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4922, 117649, F49, 8) (dual of [117649, 117627, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-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 | Linear OA(4934, 117706, F49, 10) (dual of [117706, 117672, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4936, 120009, F49, 10) (dual of [120009, 119973, 11]-code) | [i] | ||
| 3 | Linear OOA(4929, 64582, F49, 2, 10) (dual of [(64582, 2), 129135, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(4929, 64582, F49, 3, 10) (dual of [(64582, 3), 193717, 11]-NRT-code) | [i] | ||
| 5 | Digital (19, 29, 64582)-net over F49 | [i] | ||
| 6 | Linear OOA(4929, 58828, F49, 2, 10) (dual of [(58828, 2), 117627, 11]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4929, 39218, F49, 3, 10) (dual of [(39218, 3), 117625, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(4929, 23531, F49, 10, 10) (dual of [(23531, 10), 235281, 11]-NRT-code) | [i] | OA Folding and Stacking | |