Information on Result #698155
Linear OA(4945, 117672, F49, 14) (dual of [117672, 117627, 15]-code), using construction X applied to Ce(13) ⊂ Ce(7) 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(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(495, 23, F49, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,49)), using
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), using
- Reed–Solomon code RS(44,49) [i]
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), 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(4945, 117672, F49, 2, 14) (dual of [(117672, 2), 235299, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4945, 117672, F49, 3, 14) (dual of [(117672, 3), 352971, 15]-NRT-code) | [i] | ||
| 3 | Digital (31, 45, 117672)-net over F49 | [i] | ||
| 4 | Linear OOA(4945, 58836, F49, 2, 14) (dual of [(58836, 2), 117627, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4945, 39224, F49, 3, 14) (dual of [(39224, 3), 117627, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(4945, 16810, F49, 14, 14) (dual of [(16810, 14), 235295, 15]-NRT-code) | [i] | OA Folding and Stacking | |