Information on Result #698159
Linear OA(4949, 117676, F49, 15) (dual of [117676, 117627, 16]-code), using construction X applied to Ce(14) ⊂ Ce(7) based on
- linear OA(4943, 117649, F49, 15) (dual of [117649, 117606, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(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(4949, 117676, F49, 2, 15) (dual of [(117676, 2), 235303, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4949, 117676, F49, 3, 15) (dual of [(117676, 3), 352979, 16]-NRT-code) | [i] | ||
| 3 | Digital (34, 49, 117676)-net over F49 | [i] | ||
| 4 | Linear OOA(4949, 58838, F49, 2, 15) (dual of [(58838, 2), 117627, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4949, 39225, F49, 3, 15) (dual of [(39225, 3), 117626, 16]-NRT-code) | [i] | ||