Information on Result #527751

There is no linear OA(3160, 165, F3, 108) (dual of [165, 5, 109]-code), because Griesmer bound

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(3161, 165, F3, 2, 109) (dual of [(165, 2), 169, 110]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(3162, 165, F3, 2, 110) (dual of [(165, 2), 168, 111]-NRT-code) [i]
3No linear OOA(3163, 165, F3, 2, 111) (dual of [(165, 2), 167, 112]-NRT-code) [i]
4No linear OOA(3164, 165, F3, 2, 112) (dual of [(165, 2), 166, 113]-NRT-code) [i]
5No linear OOA(3165, 165, F3, 2, 113) (dual of [(165, 2), 165, 114]-NRT-code) [i]
6No linear OOA(3166, 165, F3, 2, 114) (dual of [(165, 2), 164, 115]-NRT-code) [i]
7No linear OOA(3167, 165, F3, 2, 115) (dual of [(165, 2), 163, 116]-NRT-code) [i]
8No linear OOA(3168, 165, F3, 2, 116) (dual of [(165, 2), 162, 117]-NRT-code) [i]
9No linear OOA(3169, 165, F3, 2, 117) (dual of [(165, 2), 161, 118]-NRT-code) [i]
10No linear OOA(3170, 165, F3, 2, 118) (dual of [(165, 2), 160, 119]-NRT-code) [i]
11No linear OOA(3171, 165, F3, 2, 119) (dual of [(165, 2), 159, 120]-NRT-code) [i]
12No linear OOA(3172, 165, F3, 2, 120) (dual of [(165, 2), 158, 121]-NRT-code) [i]
13No linear OOA(3173, 165, F3, 2, 121) (dual of [(165, 2), 157, 122]-NRT-code) [i]
14No linear OOA(3174, 165, F3, 2, 122) (dual of [(165, 2), 156, 123]-NRT-code) [i]
15No linear OOA(3175, 165, F3, 2, 123) (dual of [(165, 2), 155, 124]-NRT-code) [i]
16No linear OOA(3176, 165, F3, 2, 124) (dual of [(165, 2), 154, 125]-NRT-code) [i]
17No linear OOA(3177, 165, F3, 2, 125) (dual of [(165, 2), 153, 126]-NRT-code) [i]
18No linear OOA(3178, 165, F3, 2, 126) (dual of [(165, 2), 152, 127]-NRT-code) [i]
19No linear OOA(3179, 165, F3, 2, 127) (dual of [(165, 2), 151, 128]-NRT-code) [i]
20No linear OOA(3180, 165, F3, 2, 128) (dual of [(165, 2), 150, 129]-NRT-code) [i]
21No linear OOA(3181, 165, F3, 2, 129) (dual of [(165, 2), 149, 130]-NRT-code) [i]
22No linear OOA(3182, 165, F3, 2, 130) (dual of [(165, 2), 148, 131]-NRT-code) [i]
23No linear OOA(3183, 165, F3, 2, 131) (dual of [(165, 2), 147, 132]-NRT-code) [i]
24No linear OOA(3184, 165, F3, 2, 132) (dual of [(165, 2), 146, 133]-NRT-code) [i]
25No linear OOA(3185, 165, F3, 2, 133) (dual of [(165, 2), 145, 134]-NRT-code) [i]
26No linear OOA(3186, 165, F3, 2, 134) (dual of [(165, 2), 144, 135]-NRT-code) [i]
27No linear OOA(3187, 165, F3, 2, 135) (dual of [(165, 2), 143, 136]-NRT-code) [i]
28No linear OOA(3188, 165, F3, 2, 136) (dual of [(165, 2), 142, 137]-NRT-code) [i]
29No linear OOA(3189, 165, F3, 2, 137) (dual of [(165, 2), 141, 138]-NRT-code) [i]
30No linear OOA(3190, 165, F3, 2, 138) (dual of [(165, 2), 140, 139]-NRT-code) [i]
31No linear OOA(3191, 165, F3, 2, 139) (dual of [(165, 2), 139, 140]-NRT-code) [i]
32No linear OOA(3192, 165, F3, 2, 140) (dual of [(165, 2), 138, 141]-NRT-code) [i]
33No linear OOA(3193, 165, F3, 2, 141) (dual of [(165, 2), 137, 142]-NRT-code) [i]
34No linear OOA(3194, 165, F3, 2, 142) (dual of [(165, 2), 136, 143]-NRT-code) [i]
35No linear OOA(3195, 165, F3, 2, 143) (dual of [(165, 2), 135, 144]-NRT-code) [i]
36No linear OOA(3196, 165, F3, 2, 144) (dual of [(165, 2), 134, 145]-NRT-code) [i]
37No linear OOA(3197, 165, F3, 2, 145) (dual of [(165, 2), 133, 146]-NRT-code) [i]
38No linear OOA(3198, 165, F3, 2, 146) (dual of [(165, 2), 132, 147]-NRT-code) [i]
39No linear OOA(3199, 165, F3, 2, 147) (dual of [(165, 2), 131, 148]-NRT-code) [i]
40No linear OOA(3200, 165, F3, 2, 148) (dual of [(165, 2), 130, 149]-NRT-code) [i]
41No linear OOA(3201, 165, F3, 2, 149) (dual of [(165, 2), 129, 150]-NRT-code) [i]
42No linear OOA(3202, 165, F3, 2, 150) (dual of [(165, 2), 128, 151]-NRT-code) [i]
43No linear OOA(3203, 165, F3, 2, 151) (dual of [(165, 2), 127, 152]-NRT-code) [i]
44No linear OOA(3204, 165, F3, 2, 152) (dual of [(165, 2), 126, 153]-NRT-code) [i]
45No linear OOA(3205, 165, F3, 2, 153) (dual of [(165, 2), 125, 154]-NRT-code) [i]
46No linear OOA(3206, 165, F3, 2, 154) (dual of [(165, 2), 124, 155]-NRT-code) [i]
47No linear OOA(3207, 165, F3, 2, 155) (dual of [(165, 2), 123, 156]-NRT-code) [i]
48No linear OOA(3208, 165, F3, 2, 156) (dual of [(165, 2), 122, 157]-NRT-code) [i]
49No linear OOA(3209, 165, F3, 2, 157) (dual of [(165, 2), 121, 158]-NRT-code) [i]
50No linear OOA(3210, 165, F3, 2, 158) (dual of [(165, 2), 120, 159]-NRT-code) [i]
51No linear OOA(3211, 165, F3, 2, 159) (dual of [(165, 2), 119, 160]-NRT-code) [i]
52No linear OOA(3212, 165, F3, 2, 160) (dual of [(165, 2), 118, 161]-NRT-code) [i]
53No linear OOA(3213, 165, F3, 2, 161) (dual of [(165, 2), 117, 162]-NRT-code) [i]
54No linear OOA(3214, 165, F3, 2, 162) (dual of [(165, 2), 116, 163]-NRT-code) [i]
55No linear OOA(3215, 165, F3, 2, 163) (dual of [(165, 2), 115, 164]-NRT-code) [i]
56No linear OOA(3216, 165, F3, 2, 164) (dual of [(165, 2), 114, 165]-NRT-code) [i]
57No linear OOA(3217, 165, F3, 2, 165) (dual of [(165, 2), 113, 166]-NRT-code) [i]
58No linear OOA(3218, 165, F3, 2, 166) (dual of [(165, 2), 112, 167]-NRT-code) [i]
59No linear OOA(3219, 165, F3, 2, 167) (dual of [(165, 2), 111, 168]-NRT-code) [i]
60No linear OOA(3220, 165, F3, 2, 168) (dual of [(165, 2), 110, 169]-NRT-code) [i]
61No linear OOA(3221, 165, F3, 2, 169) (dual of [(165, 2), 109, 170]-NRT-code) [i]
62No linear OOA(3222, 165, F3, 2, 170) (dual of [(165, 2), 108, 171]-NRT-code) [i]
63No linear OOA(3223, 165, F3, 2, 171) (dual of [(165, 2), 107, 172]-NRT-code) [i]
64No linear OOA(3224, 165, F3, 2, 172) (dual of [(165, 2), 106, 173]-NRT-code) [i]
65No linear OOA(3225, 165, F3, 2, 173) (dual of [(165, 2), 105, 174]-NRT-code) [i]
66No linear OOA(3226, 165, F3, 2, 174) (dual of [(165, 2), 104, 175]-NRT-code) [i]
67No linear OOA(3227, 165, F3, 2, 175) (dual of [(165, 2), 103, 176]-NRT-code) [i]
68No linear OOA(3228, 165, F3, 2, 176) (dual of [(165, 2), 102, 177]-NRT-code) [i]
69No linear OOA(3229, 165, F3, 2, 177) (dual of [(165, 2), 101, 178]-NRT-code) [i]
70No linear OOA(3230, 165, F3, 2, 178) (dual of [(165, 2), 100, 179]-NRT-code) [i]
71No linear OOA(3231, 165, F3, 2, 179) (dual of [(165, 2), 99, 180]-NRT-code) [i]
72No linear OOA(3232, 165, F3, 2, 180) (dual of [(165, 2), 98, 181]-NRT-code) [i]
73No linear OOA(3233, 165, F3, 2, 181) (dual of [(165, 2), 97, 182]-NRT-code) [i]
74No linear OOA(3234, 165, F3, 2, 182) (dual of [(165, 2), 96, 183]-NRT-code) [i]
75No linear OOA(3235, 165, F3, 2, 183) (dual of [(165, 2), 95, 184]-NRT-code) [i]
76No linear OOA(3236, 165, F3, 2, 184) (dual of [(165, 2), 94, 185]-NRT-code) [i]
77No linear OOA(3237, 165, F3, 2, 185) (dual of [(165, 2), 93, 186]-NRT-code) [i]
78No linear OOA(3238, 165, F3, 2, 186) (dual of [(165, 2), 92, 187]-NRT-code) [i]
79No linear OOA(3239, 165, F3, 2, 187) (dual of [(165, 2), 91, 188]-NRT-code) [i]
80No linear OOA(3240, 165, F3, 2, 188) (dual of [(165, 2), 90, 189]-NRT-code) [i]
81No linear OOA(3241, 165, F3, 2, 189) (dual of [(165, 2), 89, 190]-NRT-code) [i]
82No linear OOA(3242, 165, F3, 2, 190) (dual of [(165, 2), 88, 191]-NRT-code) [i]
83No linear OOA(3243, 165, F3, 2, 191) (dual of [(165, 2), 87, 192]-NRT-code) [i]
84No linear OOA(3244, 165, F3, 2, 192) (dual of [(165, 2), 86, 193]-NRT-code) [i]
85No linear OOA(3245, 165, F3, 2, 193) (dual of [(165, 2), 85, 194]-NRT-code) [i]
86No linear OOA(3246, 165, F3, 2, 194) (dual of [(165, 2), 84, 195]-NRT-code) [i]
87No linear OOA(3247, 165, F3, 2, 195) (dual of [(165, 2), 83, 196]-NRT-code) [i]
88No linear OOA(3248, 165, F3, 2, 196) (dual of [(165, 2), 82, 197]-NRT-code) [i]
89No linear OOA(3249, 165, F3, 2, 197) (dual of [(165, 2), 81, 198]-NRT-code) [i]
90No linear OOA(3250, 165, F3, 2, 198) (dual of [(165, 2), 80, 199]-NRT-code) [i]
91No linear OOA(3160, 165, F3, 2, 108) (dual of [(165, 2), 170, 109]-NRT-code) [i]Depth Reduction
92No linear OOA(3160, 165, F3, 3, 108) (dual of [(165, 3), 335, 109]-NRT-code) [i]
93No linear OOA(3160, 165, F3, 4, 108) (dual of [(165, 4), 500, 109]-NRT-code) [i]
94No linear OOA(3160, 165, F3, 5, 108) (dual of [(165, 5), 665, 109]-NRT-code) [i]
95No digital (52, 160, 165)-net over F3 [i]Extracting Embedded Orthogonal Array
96No linear OA(3161, 168, F3, 108) (dual of [168, 7, 109]-code) [i]Construction Y1 (Bound)