Information on Result #548259

There is no linear OA(486, 96, F4, 64) (dual of [96, 10, 65]-code), because “Gur” 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 OOA(487, 96, F4, 2, 65) (dual of [(96, 2), 105, 66]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(488, 96, F4, 2, 66) (dual of [(96, 2), 104, 67]-NRT-code) [i]
3No linear OOA(489, 96, F4, 2, 67) (dual of [(96, 2), 103, 68]-NRT-code) [i]
4No linear OOA(491, 96, F4, 2, 69) (dual of [(96, 2), 101, 70]-NRT-code) [i]
5No linear OOA(492, 96, F4, 2, 70) (dual of [(96, 2), 100, 71]-NRT-code) [i]
6No linear OOA(493, 96, F4, 2, 71) (dual of [(96, 2), 99, 72]-NRT-code) [i]
7No linear OOA(494, 96, F4, 2, 72) (dual of [(96, 2), 98, 73]-NRT-code) [i]
8No linear OOA(495, 96, F4, 2, 73) (dual of [(96, 2), 97, 74]-NRT-code) [i]
9No linear OOA(496, 96, F4, 2, 74) (dual of [(96, 2), 96, 75]-NRT-code) [i]
10No linear OOA(497, 96, F4, 2, 75) (dual of [(96, 2), 95, 76]-NRT-code) [i]
11No linear OOA(498, 96, F4, 2, 76) (dual of [(96, 2), 94, 77]-NRT-code) [i]
12No linear OOA(499, 96, F4, 2, 77) (dual of [(96, 2), 93, 78]-NRT-code) [i]
13No linear OOA(4100, 96, F4, 2, 78) (dual of [(96, 2), 92, 79]-NRT-code) [i]
14No linear OOA(4101, 96, F4, 2, 79) (dual of [(96, 2), 91, 80]-NRT-code) [i]
15No linear OOA(4102, 96, F4, 2, 80) (dual of [(96, 2), 90, 81]-NRT-code) [i]
16No linear OOA(4103, 96, F4, 2, 81) (dual of [(96, 2), 89, 82]-NRT-code) [i]
17No linear OOA(4104, 96, F4, 2, 82) (dual of [(96, 2), 88, 83]-NRT-code) [i]
18No linear OOA(4105, 96, F4, 2, 83) (dual of [(96, 2), 87, 84]-NRT-code) [i]
19No linear OOA(4106, 96, F4, 2, 84) (dual of [(96, 2), 86, 85]-NRT-code) [i]
20No linear OOA(4107, 96, F4, 2, 85) (dual of [(96, 2), 85, 86]-NRT-code) [i]
21No linear OOA(4108, 96, F4, 2, 86) (dual of [(96, 2), 84, 87]-NRT-code) [i]
22No linear OOA(4109, 96, F4, 2, 87) (dual of [(96, 2), 83, 88]-NRT-code) [i]
23No linear OOA(4110, 96, F4, 2, 88) (dual of [(96, 2), 82, 89]-NRT-code) [i]
24No linear OOA(4111, 96, F4, 2, 89) (dual of [(96, 2), 81, 90]-NRT-code) [i]
25No linear OOA(4112, 96, F4, 2, 90) (dual of [(96, 2), 80, 91]-NRT-code) [i]
26No linear OOA(4113, 96, F4, 2, 91) (dual of [(96, 2), 79, 92]-NRT-code) [i]
27No linear OOA(4114, 96, F4, 2, 92) (dual of [(96, 2), 78, 93]-NRT-code) [i]
28No linear OOA(4115, 96, F4, 2, 93) (dual of [(96, 2), 77, 94]-NRT-code) [i]
29No linear OOA(4116, 96, F4, 2, 94) (dual of [(96, 2), 76, 95]-NRT-code) [i]
30No linear OOA(4117, 96, F4, 2, 95) (dual of [(96, 2), 75, 96]-NRT-code) [i]
31No linear OOA(4118, 96, F4, 2, 96) (dual of [(96, 2), 74, 97]-NRT-code) [i]
32No linear OOA(4119, 96, F4, 2, 97) (dual of [(96, 2), 73, 98]-NRT-code) [i]
33No linear OOA(4120, 96, F4, 2, 98) (dual of [(96, 2), 72, 99]-NRT-code) [i]
34No linear OOA(4121, 96, F4, 2, 99) (dual of [(96, 2), 71, 100]-NRT-code) [i]
35No linear OOA(4122, 96, F4, 2, 100) (dual of [(96, 2), 70, 101]-NRT-code) [i]
36No linear OOA(4123, 96, F4, 2, 101) (dual of [(96, 2), 69, 102]-NRT-code) [i]
37No linear OOA(4124, 96, F4, 2, 102) (dual of [(96, 2), 68, 103]-NRT-code) [i]
38No linear OOA(4125, 96, F4, 2, 103) (dual of [(96, 2), 67, 104]-NRT-code) [i]
39No linear OOA(4126, 96, F4, 2, 104) (dual of [(96, 2), 66, 105]-NRT-code) [i]
40No linear OOA(4127, 96, F4, 2, 105) (dual of [(96, 2), 65, 106]-NRT-code) [i]
41No linear OOA(4128, 96, F4, 2, 106) (dual of [(96, 2), 64, 107]-NRT-code) [i]
42No linear OOA(4129, 96, F4, 2, 107) (dual of [(96, 2), 63, 108]-NRT-code) [i]
43No linear OOA(4130, 96, F4, 2, 108) (dual of [(96, 2), 62, 109]-NRT-code) [i]
44No linear OOA(4131, 96, F4, 2, 109) (dual of [(96, 2), 61, 110]-NRT-code) [i]
45No linear OOA(4132, 96, F4, 2, 110) (dual of [(96, 2), 60, 111]-NRT-code) [i]
46No linear OOA(4133, 96, F4, 2, 111) (dual of [(96, 2), 59, 112]-NRT-code) [i]
47No linear OOA(4134, 96, F4, 2, 112) (dual of [(96, 2), 58, 113]-NRT-code) [i]
48No linear OOA(4135, 96, F4, 2, 113) (dual of [(96, 2), 57, 114]-NRT-code) [i]
49No linear OOA(4136, 96, F4, 2, 114) (dual of [(96, 2), 56, 115]-NRT-code) [i]
50No linear OOA(4137, 96, F4, 2, 115) (dual of [(96, 2), 55, 116]-NRT-code) [i]
51No linear OOA(4138, 96, F4, 2, 116) (dual of [(96, 2), 54, 117]-NRT-code) [i]
52No linear OOA(4139, 96, F4, 2, 117) (dual of [(96, 2), 53, 118]-NRT-code) [i]
53No linear OOA(4140, 96, F4, 2, 118) (dual of [(96, 2), 52, 119]-NRT-code) [i]
54No linear OOA(4141, 96, F4, 2, 119) (dual of [(96, 2), 51, 120]-NRT-code) [i]
55No linear OOA(4142, 96, F4, 2, 120) (dual of [(96, 2), 50, 121]-NRT-code) [i]
56No linear OOA(4143, 96, F4, 2, 121) (dual of [(96, 2), 49, 122]-NRT-code) [i]
57No linear OOA(4144, 96, F4, 2, 122) (dual of [(96, 2), 48, 123]-NRT-code) [i]
58No linear OOA(4145, 96, F4, 2, 123) (dual of [(96, 2), 47, 124]-NRT-code) [i]
59No linear OOA(4146, 96, F4, 2, 124) (dual of [(96, 2), 46, 125]-NRT-code) [i]
60No linear OOA(4147, 96, F4, 2, 125) (dual of [(96, 2), 45, 126]-NRT-code) [i]
61No linear OOA(4148, 96, F4, 2, 126) (dual of [(96, 2), 44, 127]-NRT-code) [i]
62No linear OOA(4149, 96, F4, 2, 127) (dual of [(96, 2), 43, 128]-NRT-code) [i]
63No linear OOA(4150, 96, F4, 2, 128) (dual of [(96, 2), 42, 129]-NRT-code) [i]
64No linear OOA(4151, 96, F4, 2, 129) (dual of [(96, 2), 41, 130]-NRT-code) [i]
65No linear OOA(4152, 96, F4, 2, 130) (dual of [(96, 2), 40, 131]-NRT-code) [i]
66No linear OOA(4153, 96, F4, 2, 131) (dual of [(96, 2), 39, 132]-NRT-code) [i]
67No linear OOA(4154, 96, F4, 2, 132) (dual of [(96, 2), 38, 133]-NRT-code) [i]
68No linear OOA(4155, 96, F4, 2, 133) (dual of [(96, 2), 37, 134]-NRT-code) [i]
69No linear OOA(4156, 96, F4, 2, 134) (dual of [(96, 2), 36, 135]-NRT-code) [i]
70No linear OOA(4157, 96, F4, 2, 135) (dual of [(96, 2), 35, 136]-NRT-code) [i]
71No linear OOA(4158, 96, F4, 2, 136) (dual of [(96, 2), 34, 137]-NRT-code) [i]
72No linear OOA(4159, 96, F4, 2, 137) (dual of [(96, 2), 33, 138]-NRT-code) [i]
73No linear OOA(486, 96, F4, 2, 64) (dual of [(96, 2), 106, 65]-NRT-code) [i]Depth Reduction
74No linear OOA(486, 96, F4, 3, 64) (dual of [(96, 3), 202, 65]-NRT-code) [i]
75No digital (22, 86, 96)-net over F4 [i]Extracting Embedded Orthogonal Array