Information on Result #618076

Linear OA(3246, large, F32, 10) (dual of [large, large−46, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, 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(3246, large, F32, 9) (dual of [large, large−46, 10]-code) [i]Strength Reduction
2Linear OA(3246, large, F32, 8) (dual of [large, large−46, 9]-code) [i]
3Linear OA(3246, large, F32, 7) (dual of [large, large−46, 8]-code) [i]
4Linear OA(3246, large, F32, 6) (dual of [large, large−46, 7]-code) [i]
5Linear OA(3246, large, F32, 5) (dual of [large, large−46, 6]-code) [i]
6Linear OA(3246, large, F32, 4) (dual of [large, large−46, 5]-code) [i]
7Linear OA(3246, large, F32, 3) (dual of [large, large−46, 4]-code) [i]
8Linear OA(3247, large, F32, 10) (dual of [large, large−47, 11]-code) [i]Code Embedding in Larger Space
9Linear OA(3248, large, F32, 10) (dual of [large, large−48, 11]-code) [i]
10Linear OA(3249, large, F32, 10) (dual of [large, large−49, 11]-code) [i]
11Linear OA(3250, large, F32, 10) (dual of [large, large−50, 11]-code) [i]
12Linear OA(3252, large, F32, 10) (dual of [large, large−52, 11]-code) [i]
13Linear OA(3253, large, F32, 10) (dual of [large, large−53, 11]-code) [i]
14Linear OA(3254, large, F32, 10) (dual of [large, large−54, 11]-code) [i]
15Linear OA(3255, large, F32, 10) (dual of [large, large−55, 11]-code) [i]
16Linear OA(3257, large, F32, 10) (dual of [large, large−57, 11]-code) [i]
17Linear OA(3258, large, F32, 10) (dual of [large, large−58, 11]-code) [i]
18Linear OA(3259, large, F32, 10) (dual of [large, large−59, 11]-code) [i]
19Linear OA(3260, large, F32, 10) (dual of [large, large−60, 11]-code) [i]
20Linear OA(3262, large, F32, 10) (dual of [large, large−62, 11]-code) [i]
21Linear OA(3263, large, F32, 10) (dual of [large, large−63, 11]-code) [i]
22Linear OA(3264, large, F32, 10) (dual of [large, large−64, 11]-code) [i]
23Linear OA(3265, large, F32, 10) (dual of [large, large−65, 11]-code) [i]
24Linear OA(3267, large, F32, 10) (dual of [large, large−67, 11]-code) [i]
25Linear OA(3268, large, F32, 10) (dual of [large, large−68, 11]-code) [i]
26Linear OA(3269, large, F32, 10) (dual of [large, large−69, 11]-code) [i]
27Linear OA(3270, large, F32, 10) (dual of [large, large−70, 11]-code) [i]
28Linear OA(3272, large, F32, 10) (dual of [large, large−72, 11]-code) [i]
29Linear OA(3273, large, F32, 10) (dual of [large, large−73, 11]-code) [i]
30Linear OA(3274, large, F32, 10) (dual of [large, large−74, 11]-code) [i]
31Linear OA(3275, large, F32, 10) (dual of [large, large−75, 11]-code) [i]
32Linear OA(3277, large, F32, 10) (dual of [large, large−77, 11]-code) [i]
33Linear OA(3278, large, F32, 10) (dual of [large, large−78, 11]-code) [i]
34Linear OA(3279, large, F32, 10) (dual of [large, large−79, 11]-code) [i]
35Linear OA(3280, large, F32, 10) (dual of [large, large−80, 11]-code) [i]
36Linear OA(3282, large, F32, 10) (dual of [large, large−82, 11]-code) [i]
37Linear OA(3283, large, F32, 10) (dual of [large, large−83, 11]-code) [i]
38Linear OA(3284, large, F32, 10) (dual of [large, large−84, 11]-code) [i]
39Linear OA(3285, large, F32, 10) (dual of [large, large−85, 11]-code) [i]
40Linear OA(3287, large, F32, 10) (dual of [large, large−87, 11]-code) [i]
41Linear OA(3288, large, F32, 10) (dual of [large, large−88, 11]-code) [i]
42Linear OA(3289, large, F32, 10) (dual of [large, large−89, 11]-code) [i]
43Linear OA(3290, large, F32, 10) (dual of [large, large−90, 11]-code) [i]
44Linear OA(3292, large, F32, 10) (dual of [large, large−92, 11]-code) [i]
45Linear OA(3293, large, F32, 10) (dual of [large, large−93, 11]-code) [i]
46Linear OA(3294, large, F32, 10) (dual of [large, large−94, 11]-code) [i]
47Linear OA(3295, large, F32, 10) (dual of [large, large−95, 11]-code) [i]
48Linear OA(3297, large, F32, 10) (dual of [large, large−97, 11]-code) [i]
49Linear OA(3298, large, F32, 10) (dual of [large, large−98, 11]-code) [i]
50Linear OA(3299, large, F32, 10) (dual of [large, large−99, 11]-code) [i]
51Linear OA(32100, large, F32, 10) (dual of [large, large−100, 11]-code) [i]
52Linear OA(32102, large, F32, 10) (dual of [large, large−102, 11]-code) [i]
53Linear OA(32103, large, F32, 10) (dual of [large, large−103, 11]-code) [i]
54Linear OA(32104, large, F32, 10) (dual of [large, large−104, 11]-code) [i]
55Linear OA(32105, large, F32, 10) (dual of [large, large−105, 11]-code) [i]
56Linear OA(32107, large, F32, 10) (dual of [large, large−107, 11]-code) [i]
57Linear OA(32108, large, F32, 10) (dual of [large, large−108, 11]-code) [i]
58Linear OA(32109, large, F32, 10) (dual of [large, large−109, 11]-code) [i]
59Linear OA(32110, large, F32, 10) (dual of [large, large−110, 11]-code) [i]
60Linear OOA(3246, large, F32, 2, 10) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
61Digital (36, 46, large)-net over F32 [i]
62Linear OOA(3246, 4194301, F32, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code) [i]OOA Folding
63Linear OOA(3246, 1677720, F32, 10, 10) (dual of [(1677720, 10), 16777154, 11]-NRT-code) [i]OA Folding and Stacking