Information on Result #873499
Linear OOA(4936, 1203, F49, 2, 18) (dual of [(1203, 2), 2370, 19]-NRT-code), using OOA 2-folding based on linear OA(4936, 2406, F49, 18) (dual of [2406, 2370, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] 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(4931, 2401, F49, 16) (dual of [2401, 2370, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(491, 5, F49, 1) (dual of [5, 4, 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 OOA(4945, 1253, F49, 2, 18) (dual of [(1253, 2), 2461, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4946, 1254, F49, 2, 18) (dual of [(1254, 2), 2462, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(4947, 1255, F49, 2, 18) (dual of [(1255, 2), 2463, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(4949, 1303, F49, 2, 18) (dual of [(1303, 2), 2557, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(4950, 1304, F49, 2, 18) (dual of [(1304, 2), 2558, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(4936, 900, F49, 3, 18) (dual of [(900, 3), 2664, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (18, 36, 900)-net over F49 | [i] | ||