Information on Result #625157

Linear OA(329, large, F32, 3) (dual of [large, large−9, 4]-code), using product of projective cap with (hyper)oval based on linear OA(327, 1050624, F32, 3) (dual of [1050624, 1050617, 4]-code or 1050624-cap in PG(6,32)), using

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(3210, large, F32, 3) (dual of [large, large−10, 4]-code) [i]Code Embedding in Larger Space
2Linear OA(3212, large, F32, 3) (dual of [large, large−12, 4]-code) [i]
3Linear OA(3213, large, F32, 3) (dual of [large, large−13, 4]-code) [i]
4Linear OA(3214, large, F32, 3) (dual of [large, large−14, 4]-code) [i]
5Linear OA(3215, large, F32, 3) (dual of [large, large−15, 4]-code) [i]
6Linear OA(3217, large, F32, 3) (dual of [large, large−17, 4]-code) [i]
7Linear OA(3218, large, F32, 3) (dual of [large, large−18, 4]-code) [i]
8Linear OA(3219, large, F32, 3) (dual of [large, large−19, 4]-code) [i]
9Linear OA(3220, large, F32, 3) (dual of [large, large−20, 4]-code) [i]
10Linear OA(3222, large, F32, 3) (dual of [large, large−22, 4]-code) [i]
11Linear OA(3223, large, F32, 3) (dual of [large, large−23, 4]-code) [i]
12Linear OA(3224, large, F32, 3) (dual of [large, large−24, 4]-code) [i]
13Linear OA(3225, large, F32, 3) (dual of [large, large−25, 4]-code) [i]
14Linear OA(3227, large, F32, 3) (dual of [large, large−27, 4]-code) [i]
15Linear OA(3228, large, F32, 3) (dual of [large, large−28, 4]-code) [i]
16Linear OA(3229, large, F32, 3) (dual of [large, large−29, 4]-code) [i]
17Linear OA(3230, large, F32, 3) (dual of [large, large−30, 4]-code) [i]
18Linear OA(3232, large, F32, 3) (dual of [large, large−32, 4]-code) [i]
19Linear OA(3233, large, F32, 3) (dual of [large, large−33, 4]-code) [i]
20Linear OA(3234, large, F32, 3) (dual of [large, large−34, 4]-code) [i]
21Linear OA(3235, large, F32, 3) (dual of [large, large−35, 4]-code) [i]
22Linear OA(3237, large, F32, 3) (dual of [large, large−37, 4]-code) [i]
23Linear OA(3238, large, F32, 3) (dual of [large, large−38, 4]-code) [i]
24Linear OA(3239, large, F32, 3) (dual of [large, large−39, 4]-code) [i]
25Linear OA(3240, large, F32, 3) (dual of [large, large−40, 4]-code) [i]
26Linear OA(3242, large, F32, 3) (dual of [large, large−42, 4]-code) [i]
27Linear OA(3243, large, F32, 3) (dual of [large, large−43, 4]-code) [i]
28Linear OA(3244, large, F32, 3) (dual of [large, large−44, 4]-code) [i]
29Linear OA(3245, large, F32, 3) (dual of [large, large−45, 4]-code) [i]
30Linear OA(3247, large, F32, 3) (dual of [large, large−47, 4]-code) [i]
31Linear OA(3248, large, F32, 3) (dual of [large, large−48, 4]-code) [i]
32Linear OA(3249, large, F32, 3) (dual of [large, large−49, 4]-code) [i]
33Linear OA(3250, large, F32, 3) (dual of [large, large−50, 4]-code) [i]
34Linear OA(3252, large, F32, 3) (dual of [large, large−52, 4]-code) [i]
35Linear OA(3253, large, F32, 3) (dual of [large, large−53, 4]-code) [i]
36Linear OA(3254, large, F32, 3) (dual of [large, large−54, 4]-code) [i]
37Linear OA(3255, large, F32, 3) (dual of [large, large−55, 4]-code) [i]
38Linear OA(3257, large, F32, 3) (dual of [large, large−57, 4]-code) [i]
39Linear OA(3258, large, F32, 3) (dual of [large, large−58, 4]-code) [i]
40Linear OA(3259, large, F32, 3) (dual of [large, large−59, 4]-code) [i]
41Linear OA(3260, large, F32, 3) (dual of [large, large−60, 4]-code) [i]
42Linear OA(3262, large, F32, 3) (dual of [large, large−62, 4]-code) [i]
43Linear OA(3263, large, F32, 3) (dual of [large, large−63, 4]-code) [i]
44Linear OA(3264, large, F32, 3) (dual of [large, large−64, 4]-code) [i]
45Linear OA(3265, large, F32, 3) (dual of [large, large−65, 4]-code) [i]
46Linear OA(3267, large, F32, 3) (dual of [large, large−67, 4]-code) [i]
47Linear OA(3268, large, F32, 3) (dual of [large, large−68, 4]-code) [i]
48Linear OA(3269, large, F32, 3) (dual of [large, large−69, 4]-code) [i]
49Linear OA(3270, large, F32, 3) (dual of [large, large−70, 4]-code) [i]
50Linear OA(3272, large, F32, 3) (dual of [large, large−72, 4]-code) [i]
51Linear OA(3273, large, F32, 3) (dual of [large, large−73, 4]-code) [i]
52Linear OA(3274, large, F32, 3) (dual of [large, large−74, 4]-code) [i]
53Linear OA(3275, large, F32, 3) (dual of [large, large−75, 4]-code) [i]
54Linear OA(3277, large, F32, 3) (dual of [large, large−77, 4]-code) [i]
55Linear OA(3278, large, F32, 3) (dual of [large, large−78, 4]-code) [i]
56Linear OA(3279, large, F32, 3) (dual of [large, large−79, 4]-code) [i]
57Linear OA(3280, large, F32, 3) (dual of [large, large−80, 4]-code) [i]
58Linear OA(3282, large, F32, 3) (dual of [large, large−82, 4]-code) [i]
59Linear OA(3283, large, F32, 3) (dual of [large, large−83, 4]-code) [i]
60Linear OA(3284, large, F32, 3) (dual of [large, large−84, 4]-code) [i]
61Linear OA(3285, large, F32, 3) (dual of [large, large−85, 4]-code) [i]
62Linear OA(3287, large, F32, 3) (dual of [large, large−87, 4]-code) [i]
63Linear OA(3288, large, F32, 3) (dual of [large, large−88, 4]-code) [i]
64Linear OA(3289, large, F32, 3) (dual of [large, large−89, 4]-code) [i]
65Linear OA(3290, large, F32, 3) (dual of [large, large−90, 4]-code) [i]
66Linear OA(3292, large, F32, 3) (dual of [large, large−92, 4]-code) [i]
67Linear OA(3293, large, F32, 3) (dual of [large, large−93, 4]-code) [i]
68Linear OA(3294, large, F32, 3) (dual of [large, large−94, 4]-code) [i]
69Linear OA(3295, large, F32, 3) (dual of [large, large−95, 4]-code) [i]
70Linear OA(3297, large, F32, 3) (dual of [large, large−97, 4]-code) [i]
71Linear OA(3298, large, F32, 3) (dual of [large, large−98, 4]-code) [i]
72Linear OA(3299, large, F32, 3) (dual of [large, large−99, 4]-code) [i]
73Linear OA(32100, large, F32, 3) (dual of [large, large−100, 4]-code) [i]
74Linear OA(32102, large, F32, 3) (dual of [large, large−102, 4]-code) [i]
75Linear OA(32103, large, F32, 3) (dual of [large, large−103, 4]-code) [i]
76Linear OA(32104, large, F32, 3) (dual of [large, large−104, 4]-code) [i]
77Linear OA(32105, large, F32, 3) (dual of [large, large−105, 4]-code) [i]
78Linear OA(32107, large, F32, 3) (dual of [large, large−107, 4]-code) [i]
79Linear OA(32108, large, F32, 3) (dual of [large, large−108, 4]-code) [i]
80Linear OA(32109, large, F32, 3) (dual of [large, large−109, 4]-code) [i]
81Linear OA(32110, large, F32, 3) (dual of [large, large−110, 4]-code) [i]
82Linear OOA(329, large, F32, 2, 3) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable