Information on Result #873292
Linear OOA(4941, 2882402, F49, 2, 11) (dual of [(2882402, 2), 5764763, 12]-NRT-code), using OOA 2-folding based on linear OA(4941, 5764804, F49, 11) (dual of [5764804, 5764763, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4941, 5764805, F49, 11) (dual of [5764805, 5764764, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(4941, 5764801, F49, 11) (dual of [5764801, 5764760, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(4937, 5764801, F49, 10) (dual of [5764801, 5764764, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
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(782, 5764804, F7, 2, 11) (dual of [(5764804, 2), 11529526, 12]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4946, 2882452, F49, 2, 11) (dual of [(2882452, 2), 5764858, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4947, 2882453, F49, 2, 11) (dual of [(2882453, 2), 5764859, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(4950, 2883628, F49, 2, 11) (dual of [(2883628, 2), 5767206, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(4941, 2882402, F49, 3, 11) (dual of [(2882402, 3), 8647165, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (30, 41, 2882402)-net over F49 | [i] | ||