Information on Result #618493

Linear OA(4936, large, F49, 8) (dual of [large, large−36, 9]-code), using the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9

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(4936, large, F49, 7) (dual of [large, large−36, 8]-code) [i]Strength Reduction
2Linear OA(4936, large, F49, 6) (dual of [large, large−36, 7]-code) [i]
3Linear OA(4936, large, F49, 5) (dual of [large, large−36, 6]-code) [i]
4Linear OA(4936, large, F49, 4) (dual of [large, large−36, 5]-code) [i]
5Linear OA(4936, large, F49, 3) (dual of [large, large−36, 4]-code) [i]
6Linear OA(4937, large, F49, 8) (dual of [large, large−37, 9]-code) [i]Code Embedding in Larger Space
7Linear OA(4938, large, F49, 8) (dual of [large, large−38, 9]-code) [i]
8Linear OA(4939, large, F49, 8) (dual of [large, large−39, 9]-code) [i]
9Linear OA(4940, large, F49, 8) (dual of [large, large−40, 9]-code) [i]
10Linear OA(4942, large, F49, 8) (dual of [large, large−42, 9]-code) [i]
11Linear OA(4943, large, F49, 8) (dual of [large, large−43, 9]-code) [i]
12Linear OA(4944, large, F49, 8) (dual of [large, large−44, 9]-code) [i]
13Linear OA(4945, large, F49, 8) (dual of [large, large−45, 9]-code) [i]
14Linear OA(4947, large, F49, 8) (dual of [large, large−47, 9]-code) [i]
15Linear OA(4948, large, F49, 8) (dual of [large, large−48, 9]-code) [i]
16Linear OA(4949, large, F49, 8) (dual of [large, large−49, 9]-code) [i]
17Linear OA(4950, large, F49, 8) (dual of [large, large−50, 9]-code) [i]
18Linear OA(4952, large, F49, 8) (dual of [large, large−52, 9]-code) [i]
19Linear OA(4953, large, F49, 8) (dual of [large, large−53, 9]-code) [i]
20Linear OA(4954, large, F49, 8) (dual of [large, large−54, 9]-code) [i]
21Linear OA(4955, large, F49, 8) (dual of [large, large−55, 9]-code) [i]
22Linear OOA(4936, 4194301, F49, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code) [i]OOA Folding
23Linear OOA(4936, 2796201, F49, 3, 8) (dual of [(2796201, 3), 8388567, 9]-NRT-code) [i]
24Linear OOA(4936, 2097150, F49, 8, 8) (dual of [(2097150, 8), 16777164, 9]-NRT-code) [i]OA Folding and Stacking