Information on Result #698308
Linear OA(4941, 2421, F49, 18) (dual of [2421, 2380, 19]-code), using construction X applied to Ce(17) ⊂ Ce(10) based on
- linear OA(4935, 2401, F49, 18) (dual of [2401, 2366, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(496, 20, F49, 6) (dual of [20, 14, 7]-code or 20-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(4941, 2374, F49, 2, 18) (dual of [(2374, 2), 4707, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4941, 2374, F49, 3, 18) (dual of [(2374, 3), 7081, 19]-NRT-code) | [i] | ||
| 3 | Digital (23, 41, 2374)-net over F49 | [i] | ||
| 4 | Linear OOA(4941, 1210, F49, 2, 18) (dual of [(1210, 2), 2379, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4941, 807, F49, 3, 18) (dual of [(807, 3), 2380, 19]-NRT-code) | [i] | ||