Information on Result #527642
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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No linear OA(3119, 123, F3, 82) (dual of [123, 4, 83]-code) | [i] | Strength Reduction | |
2 | No linear OA(3118, 122, F3, 81) (dual of [122, 4, 82]-code) | [i] | Code Embedding in Larger Space | |
3 | No linear OA(3122, 126, F3, 84) (dual of [126, 4, 85]-code) | [i] | Truncation | |
4 | No linear OOA(3120, 123, F3, 2, 82) (dual of [(123, 2), 126, 83]-NRT-code) | [i] | m-Reduction for OOAs | |
5 | No linear OOA(3121, 123, F3, 2, 83) (dual of [(123, 2), 125, 84]-NRT-code) | [i] | ||
6 | No linear OOA(3122, 123, F3, 2, 84) (dual of [(123, 2), 124, 85]-NRT-code) | [i] | ||
7 | No linear OOA(3123, 123, F3, 2, 85) (dual of [(123, 2), 123, 86]-NRT-code) | [i] | ||
8 | No linear OOA(3124, 123, F3, 2, 86) (dual of [(123, 2), 122, 87]-NRT-code) | [i] | ||
9 | No linear OOA(3125, 123, F3, 2, 87) (dual of [(123, 2), 121, 88]-NRT-code) | [i] | ||
10 | No linear OOA(3126, 123, F3, 2, 88) (dual of [(123, 2), 120, 89]-NRT-code) | [i] | ||
11 | No linear OOA(3127, 123, F3, 2, 89) (dual of [(123, 2), 119, 90]-NRT-code) | [i] | ||
12 | No linear OOA(3128, 123, F3, 2, 90) (dual of [(123, 2), 118, 91]-NRT-code) | [i] | ||
13 | No linear OOA(3129, 123, F3, 2, 91) (dual of [(123, 2), 117, 92]-NRT-code) | [i] | ||
14 | No linear OOA(3130, 123, F3, 2, 92) (dual of [(123, 2), 116, 93]-NRT-code) | [i] | ||
15 | No linear OOA(3131, 123, F3, 2, 93) (dual of [(123, 2), 115, 94]-NRT-code) | [i] | ||
16 | No linear OOA(3132, 123, F3, 2, 94) (dual of [(123, 2), 114, 95]-NRT-code) | [i] | ||
17 | No linear OOA(3133, 123, F3, 2, 95) (dual of [(123, 2), 113, 96]-NRT-code) | [i] | ||
18 | No linear OOA(3134, 123, F3, 2, 96) (dual of [(123, 2), 112, 97]-NRT-code) | [i] | ||
19 | No linear OOA(3135, 123, F3, 2, 97) (dual of [(123, 2), 111, 98]-NRT-code) | [i] | ||
20 | No linear OOA(3136, 123, F3, 2, 98) (dual of [(123, 2), 110, 99]-NRT-code) | [i] | ||
21 | No linear OOA(3137, 123, F3, 2, 99) (dual of [(123, 2), 109, 100]-NRT-code) | [i] | ||
22 | No linear OOA(3138, 123, F3, 2, 100) (dual of [(123, 2), 108, 101]-NRT-code) | [i] | ||
23 | No linear OOA(3139, 123, F3, 2, 101) (dual of [(123, 2), 107, 102]-NRT-code) | [i] | ||
24 | No linear OOA(3140, 123, F3, 2, 102) (dual of [(123, 2), 106, 103]-NRT-code) | [i] | ||
25 | No linear OOA(3141, 123, F3, 2, 103) (dual of [(123, 2), 105, 104]-NRT-code) | [i] | ||
26 | No linear OOA(3142, 123, F3, 2, 104) (dual of [(123, 2), 104, 105]-NRT-code) | [i] | ||
27 | No linear OOA(3143, 123, F3, 2, 105) (dual of [(123, 2), 103, 106]-NRT-code) | [i] | ||
28 | No linear OOA(3144, 123, F3, 2, 106) (dual of [(123, 2), 102, 107]-NRT-code) | [i] | ||
29 | No linear OOA(3145, 123, F3, 2, 107) (dual of [(123, 2), 101, 108]-NRT-code) | [i] | ||
30 | No linear OOA(3146, 123, F3, 2, 108) (dual of [(123, 2), 100, 109]-NRT-code) | [i] | ||
31 | No linear OOA(3147, 123, F3, 2, 109) (dual of [(123, 2), 99, 110]-NRT-code) | [i] | ||
32 | No linear OOA(3148, 123, F3, 2, 110) (dual of [(123, 2), 98, 111]-NRT-code) | [i] | ||
33 | No linear OOA(3149, 123, F3, 2, 111) (dual of [(123, 2), 97, 112]-NRT-code) | [i] | ||
34 | No linear OOA(3150, 123, F3, 2, 112) (dual of [(123, 2), 96, 113]-NRT-code) | [i] | ||
35 | No linear OOA(3151, 123, F3, 2, 113) (dual of [(123, 2), 95, 114]-NRT-code) | [i] | ||
36 | No linear OOA(3152, 123, F3, 2, 114) (dual of [(123, 2), 94, 115]-NRT-code) | [i] | ||
37 | No linear OOA(3153, 123, F3, 2, 115) (dual of [(123, 2), 93, 116]-NRT-code) | [i] | ||
38 | No linear OOA(3154, 123, F3, 2, 116) (dual of [(123, 2), 92, 117]-NRT-code) | [i] | ||
39 | No linear OOA(3155, 123, F3, 2, 117) (dual of [(123, 2), 91, 118]-NRT-code) | [i] | ||
40 | No linear OOA(3156, 123, F3, 2, 118) (dual of [(123, 2), 90, 119]-NRT-code) | [i] | ||
41 | No linear OOA(3157, 123, F3, 2, 119) (dual of [(123, 2), 89, 120]-NRT-code) | [i] | ||
42 | No linear OOA(3158, 123, F3, 2, 120) (dual of [(123, 2), 88, 121]-NRT-code) | [i] | ||
43 | No linear OOA(3159, 123, F3, 2, 121) (dual of [(123, 2), 87, 122]-NRT-code) | [i] | ||
44 | No linear OOA(3160, 123, F3, 2, 122) (dual of [(123, 2), 86, 123]-NRT-code) | [i] | ||
45 | No linear OOA(3161, 123, F3, 2, 123) (dual of [(123, 2), 85, 124]-NRT-code) | [i] | ||
46 | No linear OOA(3162, 123, F3, 2, 124) (dual of [(123, 2), 84, 125]-NRT-code) | [i] | ||
47 | No linear OOA(3163, 123, F3, 2, 125) (dual of [(123, 2), 83, 126]-NRT-code) | [i] | ||
48 | No linear OOA(3164, 123, F3, 2, 126) (dual of [(123, 2), 82, 127]-NRT-code) | [i] | ||
49 | No linear OOA(3165, 123, F3, 2, 127) (dual of [(123, 2), 81, 128]-NRT-code) | [i] | ||
50 | No linear OOA(3166, 123, F3, 2, 128) (dual of [(123, 2), 80, 129]-NRT-code) | [i] | ||
51 | No linear OOA(3167, 123, F3, 2, 129) (dual of [(123, 2), 79, 130]-NRT-code) | [i] | ||
52 | No linear OOA(3168, 123, F3, 2, 130) (dual of [(123, 2), 78, 131]-NRT-code) | [i] | ||
53 | No linear OOA(3169, 123, F3, 2, 131) (dual of [(123, 2), 77, 132]-NRT-code) | [i] | ||
54 | No linear OOA(3170, 123, F3, 2, 132) (dual of [(123, 2), 76, 133]-NRT-code) | [i] | ||
55 | No linear OOA(3171, 123, F3, 2, 133) (dual of [(123, 2), 75, 134]-NRT-code) | [i] | ||
56 | No linear OOA(3172, 123, F3, 2, 134) (dual of [(123, 2), 74, 135]-NRT-code) | [i] | ||
57 | No linear OOA(3173, 123, F3, 2, 135) (dual of [(123, 2), 73, 136]-NRT-code) | [i] | ||
58 | No linear OOA(3174, 123, F3, 2, 136) (dual of [(123, 2), 72, 137]-NRT-code) | [i] | ||
59 | No linear OOA(3175, 123, F3, 2, 137) (dual of [(123, 2), 71, 138]-NRT-code) | [i] | ||
60 | No linear OOA(3176, 123, F3, 2, 138) (dual of [(123, 2), 70, 139]-NRT-code) | [i] | ||
61 | No linear OOA(3177, 123, F3, 2, 139) (dual of [(123, 2), 69, 140]-NRT-code) | [i] | ||
62 | No linear OOA(3178, 123, F3, 2, 140) (dual of [(123, 2), 68, 141]-NRT-code) | [i] | ||
63 | No linear OOA(3179, 123, F3, 2, 141) (dual of [(123, 2), 67, 142]-NRT-code) | [i] | ||
64 | No linear OOA(3180, 123, F3, 2, 142) (dual of [(123, 2), 66, 143]-NRT-code) | [i] | ||
65 | No linear OOA(3181, 123, F3, 2, 143) (dual of [(123, 2), 65, 144]-NRT-code) | [i] | ||
66 | No linear OOA(3182, 123, F3, 2, 144) (dual of [(123, 2), 64, 145]-NRT-code) | [i] | ||
67 | No linear OOA(3183, 123, F3, 2, 145) (dual of [(123, 2), 63, 146]-NRT-code) | [i] | ||
68 | No linear OOA(3184, 123, F3, 2, 146) (dual of [(123, 2), 62, 147]-NRT-code) | [i] | ||
69 | No linear OOA(3185, 123, F3, 2, 147) (dual of [(123, 2), 61, 148]-NRT-code) | [i] | ||
70 | No linear OOA(3186, 123, F3, 2, 148) (dual of [(123, 2), 60, 149]-NRT-code) | [i] | ||
71 | No linear OOA(3119, 123, F3, 2, 81) (dual of [(123, 2), 127, 82]-NRT-code) | [i] | Depth Reduction | |
72 | No linear OOA(3119, 123, F3, 3, 81) (dual of [(123, 3), 250, 82]-NRT-code) | [i] | ||
73 | No linear OOA(3119, 123, F3, 4, 81) (dual of [(123, 4), 373, 82]-NRT-code) | [i] | ||
74 | No linear OOA(3119, 123, F3, 5, 81) (dual of [(123, 5), 496, 82]-NRT-code) | [i] | ||
75 | No digital (38, 119, 123)-net over F3 | [i] | Extracting Embedded Orthogonal Array |