Information on Result #618472

Linear OA(4926, large, F49, 6) (dual of [large, large−26, 7]-code), using the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7

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(4926, large, F49, 5) (dual of [large, large−26, 6]-code) [i]Strength Reduction
2Linear OA(4926, large, F49, 4) (dual of [large, large−26, 5]-code) [i]
3Linear OA(4926, large, F49, 3) (dual of [large, large−26, 4]-code) [i]
4Linear OA(4927, large, F49, 6) (dual of [large, large−27, 7]-code) [i]Code Embedding in Larger Space
5Linear OA(4928, large, F49, 6) (dual of [large, large−28, 7]-code) [i]
6Linear OA(4929, large, F49, 6) (dual of [large, large−29, 7]-code) [i]
7Linear OA(4930, large, F49, 6) (dual of [large, large−30, 7]-code) [i]
8Linear OA(4932, large, F49, 6) (dual of [large, large−32, 7]-code) [i]
9Linear OA(4933, large, F49, 6) (dual of [large, large−33, 7]-code) [i]
10Linear OA(4934, large, F49, 6) (dual of [large, large−34, 7]-code) [i]
11Linear OA(4935, large, F49, 6) (dual of [large, large−35, 7]-code) [i]
12Linear OA(4937, large, F49, 6) (dual of [large, large−37, 7]-code) [i]
13Linear OA(4938, large, F49, 6) (dual of [large, large−38, 7]-code) [i]
14Linear OA(4939, large, F49, 6) (dual of [large, large−39, 7]-code) [i]
15Linear OA(4940, large, F49, 6) (dual of [large, large−40, 7]-code) [i]
16Linear OA(4942, large, F49, 6) (dual of [large, large−42, 7]-code) [i]
17Linear OA(4943, large, F49, 6) (dual of [large, large−43, 7]-code) [i]
18Linear OA(4944, large, F49, 6) (dual of [large, large−44, 7]-code) [i]
19Linear OA(4945, large, F49, 6) (dual of [large, large−45, 7]-code) [i]
20Linear OA(4947, large, F49, 6) (dual of [large, large−47, 7]-code) [i]
21Linear OA(4948, large, F49, 6) (dual of [large, large−48, 7]-code) [i]
22Linear OA(4949, large, F49, 6) (dual of [large, large−49, 7]-code) [i]
23Linear OA(4950, large, F49, 6) (dual of [large, large−50, 7]-code) [i]
24Linear OA(4952, large, F49, 6) (dual of [large, large−52, 7]-code) [i]
25Linear OA(4953, large, F49, 6) (dual of [large, large−53, 7]-code) [i]
26Linear OA(4954, large, F49, 6) (dual of [large, large−54, 7]-code) [i]
27Linear OA(4955, large, F49, 6) (dual of [large, large−55, 7]-code) [i]
28Linear OOA(4926, 4194301, F49, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code) [i]OOA Folding
29Linear OOA(4926, 2796201, F49, 3, 6) (dual of [(2796201, 3), 8388577, 7]-NRT-code) [i]
30Linear OOA(4926, 2796201, F49, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code) [i]OA Folding and Stacking