Information on Result #548230

There is no linear OA(388, 93, F3, 60) (dual of [93, 5, 61]-code), because “HH” bound on codes from Brouwer’s database

Mode: Bound (linear).

Optimality

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

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OA(389, 94, F3, 61) (dual of [94, 5, 62]-code) [i]Truncation
2No linear OA(390, 95, F3, 62) (dual of [95, 5, 63]-code) [i]
3No linear OOA(389, 93, F3, 2, 61) (dual of [(93, 2), 97, 62]-NRT-code) [i]m-Reduction for OOAs
4No linear OOA(390, 93, F3, 2, 62) (dual of [(93, 2), 96, 63]-NRT-code) [i]
5No linear OOA(391, 93, F3, 2, 63) (dual of [(93, 2), 95, 64]-NRT-code) [i]
6No linear OOA(392, 93, F3, 2, 64) (dual of [(93, 2), 94, 65]-NRT-code) [i]
7No linear OOA(393, 93, F3, 2, 65) (dual of [(93, 2), 93, 66]-NRT-code) [i]
8No linear OOA(394, 93, F3, 2, 66) (dual of [(93, 2), 92, 67]-NRT-code) [i]
9No linear OOA(395, 93, F3, 2, 67) (dual of [(93, 2), 91, 68]-NRT-code) [i]
10No linear OOA(396, 93, F3, 2, 68) (dual of [(93, 2), 90, 69]-NRT-code) [i]
11No linear OOA(397, 93, F3, 2, 69) (dual of [(93, 2), 89, 70]-NRT-code) [i]
12No linear OOA(398, 93, F3, 2, 70) (dual of [(93, 2), 88, 71]-NRT-code) [i]
13No linear OOA(399, 93, F3, 2, 71) (dual of [(93, 2), 87, 72]-NRT-code) [i]
14No linear OOA(3100, 93, F3, 2, 72) (dual of [(93, 2), 86, 73]-NRT-code) [i]
15No linear OOA(3101, 93, F3, 2, 73) (dual of [(93, 2), 85, 74]-NRT-code) [i]
16No linear OOA(3102, 93, F3, 2, 74) (dual of [(93, 2), 84, 75]-NRT-code) [i]
17No linear OOA(3103, 93, F3, 2, 75) (dual of [(93, 2), 83, 76]-NRT-code) [i]
18No linear OOA(3104, 93, F3, 2, 76) (dual of [(93, 2), 82, 77]-NRT-code) [i]
19No linear OOA(3105, 93, F3, 2, 77) (dual of [(93, 2), 81, 78]-NRT-code) [i]
20No linear OOA(3106, 93, F3, 2, 78) (dual of [(93, 2), 80, 79]-NRT-code) [i]
21No linear OOA(3107, 93, F3, 2, 79) (dual of [(93, 2), 79, 80]-NRT-code) [i]
22No linear OOA(3108, 93, F3, 2, 80) (dual of [(93, 2), 78, 81]-NRT-code) [i]
23No linear OOA(3109, 93, F3, 2, 81) (dual of [(93, 2), 77, 82]-NRT-code) [i]
24No linear OOA(3110, 93, F3, 2, 82) (dual of [(93, 2), 76, 83]-NRT-code) [i]
25No linear OOA(3111, 93, F3, 2, 83) (dual of [(93, 2), 75, 84]-NRT-code) [i]
26No linear OOA(3112, 93, F3, 2, 84) (dual of [(93, 2), 74, 85]-NRT-code) [i]
27No linear OOA(3113, 93, F3, 2, 85) (dual of [(93, 2), 73, 86]-NRT-code) [i]
28No linear OOA(3114, 93, F3, 2, 86) (dual of [(93, 2), 72, 87]-NRT-code) [i]
29No linear OOA(3115, 93, F3, 2, 87) (dual of [(93, 2), 71, 88]-NRT-code) [i]
30No linear OOA(3116, 93, F3, 2, 88) (dual of [(93, 2), 70, 89]-NRT-code) [i]
31No linear OOA(3117, 93, F3, 2, 89) (dual of [(93, 2), 69, 90]-NRT-code) [i]
32No linear OOA(3118, 93, F3, 2, 90) (dual of [(93, 2), 68, 91]-NRT-code) [i]
33No linear OOA(3119, 93, F3, 2, 91) (dual of [(93, 2), 67, 92]-NRT-code) [i]
34No linear OOA(3120, 93, F3, 2, 92) (dual of [(93, 2), 66, 93]-NRT-code) [i]
35No linear OOA(3121, 93, F3, 2, 93) (dual of [(93, 2), 65, 94]-NRT-code) [i]
36No linear OOA(3122, 93, F3, 2, 94) (dual of [(93, 2), 64, 95]-NRT-code) [i]
37No linear OOA(3123, 93, F3, 2, 95) (dual of [(93, 2), 63, 96]-NRT-code) [i]
38No linear OOA(3124, 93, F3, 2, 96) (dual of [(93, 2), 62, 97]-NRT-code) [i]
39No linear OOA(3125, 93, F3, 2, 97) (dual of [(93, 2), 61, 98]-NRT-code) [i]
40No linear OOA(3126, 93, F3, 2, 98) (dual of [(93, 2), 60, 99]-NRT-code) [i]
41No linear OOA(3127, 93, F3, 2, 99) (dual of [(93, 2), 59, 100]-NRT-code) [i]
42No linear OOA(3128, 93, F3, 2, 100) (dual of [(93, 2), 58, 101]-NRT-code) [i]
43No linear OOA(3129, 93, F3, 2, 101) (dual of [(93, 2), 57, 102]-NRT-code) [i]
44No linear OOA(3130, 93, F3, 2, 102) (dual of [(93, 2), 56, 103]-NRT-code) [i]
45No linear OOA(3131, 93, F3, 2, 103) (dual of [(93, 2), 55, 104]-NRT-code) [i]
46No linear OOA(3132, 93, F3, 2, 104) (dual of [(93, 2), 54, 105]-NRT-code) [i]
47No linear OOA(3133, 93, F3, 2, 105) (dual of [(93, 2), 53, 106]-NRT-code) [i]
48No linear OOA(3134, 93, F3, 2, 106) (dual of [(93, 2), 52, 107]-NRT-code) [i]
49No linear OOA(3135, 93, F3, 2, 107) (dual of [(93, 2), 51, 108]-NRT-code) [i]
50No linear OOA(3136, 93, F3, 2, 108) (dual of [(93, 2), 50, 109]-NRT-code) [i]
51No linear OOA(3137, 93, F3, 2, 109) (dual of [(93, 2), 49, 110]-NRT-code) [i]
52No linear OOA(3138, 93, F3, 2, 110) (dual of [(93, 2), 48, 111]-NRT-code) [i]
53No linear OOA(3139, 93, F3, 2, 111) (dual of [(93, 2), 47, 112]-NRT-code) [i]
54No linear OOA(3140, 93, F3, 2, 112) (dual of [(93, 2), 46, 113]-NRT-code) [i]
55No linear OOA(3141, 93, F3, 2, 113) (dual of [(93, 2), 45, 114]-NRT-code) [i]
56No linear OOA(388, 93, F3, 2, 60) (dual of [(93, 2), 98, 61]-NRT-code) [i]Depth Reduction
57No linear OOA(388, 93, F3, 3, 60) (dual of [(93, 3), 191, 61]-NRT-code) [i]
58No linear OOA(388, 93, F3, 4, 60) (dual of [(93, 4), 284, 61]-NRT-code) [i]
59No linear OOA(388, 93, F3, 5, 60) (dual of [(93, 5), 377, 61]-NRT-code) [i]
60No digital (28, 88, 93)-net over F3 [i]Extracting Embedded Orthogonal Array