Information on Result #698160
Linear OA(4946, 117676, F49, 14) (dual of [117676, 117630, 15]-code), using construction X applied to Ce(13) ⊂ Ce(6) based on
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(4919, 117649, F49, 7) (dual of [117649, 117630, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(496, 27, F49, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,49)), using
- discarding factors / shortening the dual code based on linear OA(496, 49, F49, 6) (dual of [49, 43, 7]-code or 49-arc in PG(5,49)), using
- Reed–Solomon code RS(43,49) [i]
- discarding factors / shortening the dual code based on linear OA(496, 49, F49, 6) (dual of [49, 43, 7]-code or 49-arc in PG(5,49)), 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 OOA(4946, 117676, F49, 2, 14) (dual of [(117676, 2), 235306, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4946, 117676, F49, 3, 14) (dual of [(117676, 3), 352982, 15]-NRT-code) | [i] | ||
| 3 | Digital (32, 46, 117676)-net over F49 | [i] | ||
| 4 | Linear OOA(4946, 58838, F49, 2, 14) (dual of [(58838, 2), 117630, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4946, 39225, F49, 3, 14) (dual of [(39225, 3), 117629, 15]-NRT-code) | [i] | ||