Information on Result #618514

Linear OA(4946, large, F49, 10) (dual of [large, large−46, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(4946, large, F49, 9) (dual of [large, large−46, 10]-code) [i]Strength Reduction
2Linear OA(4946, large, F49, 8) (dual of [large, large−46, 9]-code) [i]
3Linear OA(4946, large, F49, 7) (dual of [large, large−46, 8]-code) [i]
4Linear OA(4946, large, F49, 6) (dual of [large, large−46, 7]-code) [i]
5Linear OA(4946, large, F49, 5) (dual of [large, large−46, 6]-code) [i]
6Linear OA(4946, large, F49, 4) (dual of [large, large−46, 5]-code) [i]
7Linear OA(4946, large, F49, 3) (dual of [large, large−46, 4]-code) [i]
8Linear OA(4947, large, F49, 10) (dual of [large, large−47, 11]-code) [i]Code Embedding in Larger Space
9Linear OA(4948, large, F49, 10) (dual of [large, large−48, 11]-code) [i]
10Linear OA(4949, large, F49, 10) (dual of [large, large−49, 11]-code) [i]
11Linear OA(4950, large, F49, 10) (dual of [large, large−50, 11]-code) [i]
12Linear OA(4952, large, F49, 10) (dual of [large, large−52, 11]-code) [i]
13Linear OA(4953, large, F49, 10) (dual of [large, large−53, 11]-code) [i]
14Linear OA(4954, large, F49, 10) (dual of [large, large−54, 11]-code) [i]
15Linear OA(4955, large, F49, 10) (dual of [large, large−55, 11]-code) [i]
16Linear OOA(4946, 4194301, F49, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code) [i]OOA Folding
17Linear OOA(4946, 2796201, F49, 3, 10) (dual of [(2796201, 3), 8388557, 11]-NRT-code) [i]
18Linear OOA(4946, 1677720, F49, 10, 10) (dual of [(1677720, 10), 16777154, 11]-NRT-code) [i]OA Folding and Stacking