Information on Result #527643

There is no linear OA(3120, 125, F3, 81) (dual of [125, 5, 82]-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(3121, 125, F3, 2, 82) (dual of [(125, 2), 129, 83]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(3122, 125, F3, 2, 83) (dual of [(125, 2), 128, 84]-NRT-code) [i]
3No linear OOA(3123, 125, F3, 2, 84) (dual of [(125, 2), 127, 85]-NRT-code) [i]
4No linear OOA(3124, 125, F3, 2, 85) (dual of [(125, 2), 126, 86]-NRT-code) [i]
5No linear OOA(3125, 125, F3, 2, 86) (dual of [(125, 2), 125, 87]-NRT-code) [i]
6No linear OOA(3126, 125, F3, 2, 87) (dual of [(125, 2), 124, 88]-NRT-code) [i]
7No linear OOA(3127, 125, F3, 2, 88) (dual of [(125, 2), 123, 89]-NRT-code) [i]
8No linear OOA(3128, 125, F3, 2, 89) (dual of [(125, 2), 122, 90]-NRT-code) [i]
9No linear OOA(3129, 125, F3, 2, 90) (dual of [(125, 2), 121, 91]-NRT-code) [i]
10No linear OOA(3130, 125, F3, 2, 91) (dual of [(125, 2), 120, 92]-NRT-code) [i]
11No linear OOA(3131, 125, F3, 2, 92) (dual of [(125, 2), 119, 93]-NRT-code) [i]
12No linear OOA(3132, 125, F3, 2, 93) (dual of [(125, 2), 118, 94]-NRT-code) [i]
13No linear OOA(3133, 125, F3, 2, 94) (dual of [(125, 2), 117, 95]-NRT-code) [i]
14No linear OOA(3134, 125, F3, 2, 95) (dual of [(125, 2), 116, 96]-NRT-code) [i]
15No linear OOA(3135, 125, F3, 2, 96) (dual of [(125, 2), 115, 97]-NRT-code) [i]
16No linear OOA(3136, 125, F3, 2, 97) (dual of [(125, 2), 114, 98]-NRT-code) [i]
17No linear OOA(3137, 125, F3, 2, 98) (dual of [(125, 2), 113, 99]-NRT-code) [i]
18No linear OOA(3138, 125, F3, 2, 99) (dual of [(125, 2), 112, 100]-NRT-code) [i]
19No linear OOA(3139, 125, F3, 2, 100) (dual of [(125, 2), 111, 101]-NRT-code) [i]
20No linear OOA(3140, 125, F3, 2, 101) (dual of [(125, 2), 110, 102]-NRT-code) [i]
21No linear OOA(3141, 125, F3, 2, 102) (dual of [(125, 2), 109, 103]-NRT-code) [i]
22No linear OOA(3142, 125, F3, 2, 103) (dual of [(125, 2), 108, 104]-NRT-code) [i]
23No linear OOA(3143, 125, F3, 2, 104) (dual of [(125, 2), 107, 105]-NRT-code) [i]
24No linear OOA(3144, 125, F3, 2, 105) (dual of [(125, 2), 106, 106]-NRT-code) [i]
25No linear OOA(3145, 125, F3, 2, 106) (dual of [(125, 2), 105, 107]-NRT-code) [i]
26No linear OOA(3146, 125, F3, 2, 107) (dual of [(125, 2), 104, 108]-NRT-code) [i]
27No linear OOA(3147, 125, F3, 2, 108) (dual of [(125, 2), 103, 109]-NRT-code) [i]
28No linear OOA(3148, 125, F3, 2, 109) (dual of [(125, 2), 102, 110]-NRT-code) [i]
29No linear OOA(3149, 125, F3, 2, 110) (dual of [(125, 2), 101, 111]-NRT-code) [i]
30No linear OOA(3150, 125, F3, 2, 111) (dual of [(125, 2), 100, 112]-NRT-code) [i]
31No linear OOA(3151, 125, F3, 2, 112) (dual of [(125, 2), 99, 113]-NRT-code) [i]
32No linear OOA(3152, 125, F3, 2, 113) (dual of [(125, 2), 98, 114]-NRT-code) [i]
33No linear OOA(3153, 125, F3, 2, 114) (dual of [(125, 2), 97, 115]-NRT-code) [i]
34No linear OOA(3154, 125, F3, 2, 115) (dual of [(125, 2), 96, 116]-NRT-code) [i]
35No linear OOA(3155, 125, F3, 2, 116) (dual of [(125, 2), 95, 117]-NRT-code) [i]
36No linear OOA(3156, 125, F3, 2, 117) (dual of [(125, 2), 94, 118]-NRT-code) [i]
37No linear OOA(3157, 125, F3, 2, 118) (dual of [(125, 2), 93, 119]-NRT-code) [i]
38No linear OOA(3158, 125, F3, 2, 119) (dual of [(125, 2), 92, 120]-NRT-code) [i]
39No linear OOA(3159, 125, F3, 2, 120) (dual of [(125, 2), 91, 121]-NRT-code) [i]
40No linear OOA(3160, 125, F3, 2, 121) (dual of [(125, 2), 90, 122]-NRT-code) [i]
41No linear OOA(3161, 125, F3, 2, 122) (dual of [(125, 2), 89, 123]-NRT-code) [i]
42No linear OOA(3162, 125, F3, 2, 123) (dual of [(125, 2), 88, 124]-NRT-code) [i]
43No linear OOA(3163, 125, F3, 2, 124) (dual of [(125, 2), 87, 125]-NRT-code) [i]
44No linear OOA(3164, 125, F3, 2, 125) (dual of [(125, 2), 86, 126]-NRT-code) [i]
45No linear OOA(3165, 125, F3, 2, 126) (dual of [(125, 2), 85, 127]-NRT-code) [i]
46No linear OOA(3166, 125, F3, 2, 127) (dual of [(125, 2), 84, 128]-NRT-code) [i]
47No linear OOA(3167, 125, F3, 2, 128) (dual of [(125, 2), 83, 129]-NRT-code) [i]
48No linear OOA(3168, 125, F3, 2, 129) (dual of [(125, 2), 82, 130]-NRT-code) [i]
49No linear OOA(3169, 125, F3, 2, 130) (dual of [(125, 2), 81, 131]-NRT-code) [i]
50No linear OOA(3170, 125, F3, 2, 131) (dual of [(125, 2), 80, 132]-NRT-code) [i]
51No linear OOA(3171, 125, F3, 2, 132) (dual of [(125, 2), 79, 133]-NRT-code) [i]
52No linear OOA(3172, 125, F3, 2, 133) (dual of [(125, 2), 78, 134]-NRT-code) [i]
53No linear OOA(3173, 125, F3, 2, 134) (dual of [(125, 2), 77, 135]-NRT-code) [i]
54No linear OOA(3174, 125, F3, 2, 135) (dual of [(125, 2), 76, 136]-NRT-code) [i]
55No linear OOA(3175, 125, F3, 2, 136) (dual of [(125, 2), 75, 137]-NRT-code) [i]
56No linear OOA(3176, 125, F3, 2, 137) (dual of [(125, 2), 74, 138]-NRT-code) [i]
57No linear OOA(3177, 125, F3, 2, 138) (dual of [(125, 2), 73, 139]-NRT-code) [i]
58No linear OOA(3178, 125, F3, 2, 139) (dual of [(125, 2), 72, 140]-NRT-code) [i]
59No linear OOA(3179, 125, F3, 2, 140) (dual of [(125, 2), 71, 141]-NRT-code) [i]
60No linear OOA(3180, 125, F3, 2, 141) (dual of [(125, 2), 70, 142]-NRT-code) [i]
61No linear OOA(3181, 125, F3, 2, 142) (dual of [(125, 2), 69, 143]-NRT-code) [i]
62No linear OOA(3182, 125, F3, 2, 143) (dual of [(125, 2), 68, 144]-NRT-code) [i]
63No linear OOA(3183, 125, F3, 2, 144) (dual of [(125, 2), 67, 145]-NRT-code) [i]
64No linear OOA(3184, 125, F3, 2, 145) (dual of [(125, 2), 66, 146]-NRT-code) [i]
65No linear OOA(3185, 125, F3, 2, 146) (dual of [(125, 2), 65, 147]-NRT-code) [i]
66No linear OOA(3186, 125, F3, 2, 147) (dual of [(125, 2), 64, 148]-NRT-code) [i]
67No linear OOA(3187, 125, F3, 2, 148) (dual of [(125, 2), 63, 149]-NRT-code) [i]
68No linear OOA(3188, 125, F3, 2, 149) (dual of [(125, 2), 62, 150]-NRT-code) [i]
69No linear OOA(3189, 125, F3, 2, 150) (dual of [(125, 2), 61, 151]-NRT-code) [i]
70No linear OOA(3190, 125, F3, 2, 151) (dual of [(125, 2), 60, 152]-NRT-code) [i]
71No linear OOA(3191, 125, F3, 2, 152) (dual of [(125, 2), 59, 153]-NRT-code) [i]
72No linear OOA(3120, 125, F3, 2, 81) (dual of [(125, 2), 130, 82]-NRT-code) [i]Depth Reduction
73No linear OOA(3120, 125, F3, 3, 81) (dual of [(125, 3), 255, 82]-NRT-code) [i]
74No linear OOA(3120, 125, F3, 4, 81) (dual of [(125, 4), 380, 82]-NRT-code) [i]
75No linear OOA(3120, 125, F3, 5, 81) (dual of [(125, 5), 505, 82]-NRT-code) [i]
76No digital (39, 120, 125)-net over F3 [i]Extracting Embedded Orthogonal Array
77No linear OA(3121, 129, F3, 81) (dual of [129, 8, 82]-code) [i]Construction Y1 (Bound)