Information on Result #1075798
Linear OOA(345, 20, F3, 4, 34) (dual of [(20, 4), 35, 35]-NRT-code), using extracting embedded OOA based on digital (11, 45, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
Mode: Constructive and 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(345, 20, F3, 4, 33) (dual of [(20, 4), 35, 34]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3215, 168, F3, 4, 68) (dual of [(168, 4), 457, 69]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
3 | Linear OOA(3217, 168, F3, 4, 69) (dual of [(168, 4), 455, 70]-NRT-code) | [i] | ||
4 | Linear OOA(3188, 60, F3, 4, 104) (dual of [(60, 4), 52, 105]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
5 | Linear OOA(3187, 60, F3, 4, 103) (dual of [(60, 4), 53, 104]-NRT-code) | [i] | ||
6 | Linear OOA(3175, 55, F3, 4, 104) (dual of [(55, 4), 45, 105]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |
7 | Linear OOA(3174, 55, F3, 4, 103) (dual of [(55, 4), 46, 104]-NRT-code) | [i] | ||
8 | Linear OOA(3173, 55, F3, 4, 102) (dual of [(55, 4), 47, 103]-NRT-code) | [i] | ||
9 | Linear OOA(3172, 55, F3, 4, 101) (dual of [(55, 4), 48, 102]-NRT-code) | [i] | ||
10 | Linear OOA(3171, 55, F3, 4, 100) (dual of [(55, 4), 49, 101]-NRT-code) | [i] | ||
11 | Linear OOA(3170, 55, F3, 4, 99) (dual of [(55, 4), 50, 100]-NRT-code) | [i] | ||
12 | Linear OOA(3169, 55, F3, 4, 98) (dual of [(55, 4), 51, 99]-NRT-code) | [i] | ||
13 | Linear OOA(3168, 55, F3, 4, 97) (dual of [(55, 4), 52, 98]-NRT-code) | [i] | ||
14 | Linear OOA(3167, 55, F3, 4, 96) (dual of [(55, 4), 53, 97]-NRT-code) | [i] | ||
15 | Linear OOA(3166, 55, F3, 4, 95) (dual of [(55, 4), 54, 96]-NRT-code) | [i] | ||
16 | Linear OOA(3165, 55, F3, 4, 94) (dual of [(55, 4), 55, 95]-NRT-code) | [i] | ||
17 | Linear OOA(3164, 55, F3, 4, 93) (dual of [(55, 4), 56, 94]-NRT-code) | [i] | ||
18 | Linear OOA(3163, 55, F3, 4, 92) (dual of [(55, 4), 57, 93]-NRT-code) | [i] | ||
19 | Linear OOA(3162, 55, F3, 4, 91) (dual of [(55, 4), 58, 92]-NRT-code) | [i] | ||
20 | Linear OOA(3161, 55, F3, 4, 90) (dual of [(55, 4), 59, 91]-NRT-code) | [i] | ||
21 | Linear OOA(3160, 55, F3, 4, 89) (dual of [(55, 4), 60, 90]-NRT-code) | [i] | ||
22 | Linear OOA(3159, 55, F3, 4, 88) (dual of [(55, 4), 61, 89]-NRT-code) | [i] | ||
23 | Linear OOA(3158, 55, F3, 4, 87) (dual of [(55, 4), 62, 88]-NRT-code) | [i] | ||
24 | Linear OOA(3157, 55, F3, 4, 86) (dual of [(55, 4), 63, 87]-NRT-code) | [i] | ||
25 | Linear OOA(3156, 55, F3, 4, 85) (dual of [(55, 4), 64, 86]-NRT-code) | [i] | ||
26 | Linear OOA(3155, 55, F3, 4, 84) (dual of [(55, 4), 65, 85]-NRT-code) | [i] | ||
27 | Linear OOA(3177, 56, F3, 4, 104) (dual of [(56, 4), 47, 105]-NRT-code) | [i] | ||
28 | Linear OOA(3176, 56, F3, 4, 103) (dual of [(56, 4), 48, 104]-NRT-code) | [i] | ||
29 | Linear OOA(3175, 56, F3, 4, 102) (dual of [(56, 4), 49, 103]-NRT-code) | [i] | ||
30 | Linear OOA(3174, 56, F3, 4, 101) (dual of [(56, 4), 50, 102]-NRT-code) | [i] | ||
31 | Linear OOA(3173, 56, F3, 4, 100) (dual of [(56, 4), 51, 101]-NRT-code) | [i] | ||
32 | Linear OOA(3172, 56, F3, 4, 99) (dual of [(56, 4), 52, 100]-NRT-code) | [i] | ||
33 | Linear OOA(3171, 56, F3, 4, 98) (dual of [(56, 4), 53, 99]-NRT-code) | [i] | ||
34 | Linear OOA(3170, 56, F3, 4, 97) (dual of [(56, 4), 54, 98]-NRT-code) | [i] | ||
35 | Linear OOA(3169, 56, F3, 4, 96) (dual of [(56, 4), 55, 97]-NRT-code) | [i] | ||
36 | Linear OOA(3168, 56, F3, 4, 95) (dual of [(56, 4), 56, 96]-NRT-code) | [i] | ||
37 | Linear OOA(3167, 56, F3, 4, 94) (dual of [(56, 4), 57, 95]-NRT-code) | [i] | ||
38 | Linear OOA(3166, 56, F3, 4, 93) (dual of [(56, 4), 58, 94]-NRT-code) | [i] | ||
39 | Linear OOA(3165, 56, F3, 4, 92) (dual of [(56, 4), 59, 93]-NRT-code) | [i] | ||
40 | Linear OOA(3164, 56, F3, 4, 91) (dual of [(56, 4), 60, 92]-NRT-code) | [i] | ||
41 | Linear OOA(3163, 56, F3, 4, 90) (dual of [(56, 4), 61, 91]-NRT-code) | [i] | ||
42 | Linear OOA(3162, 56, F3, 4, 89) (dual of [(56, 4), 62, 90]-NRT-code) | [i] | ||
43 | Linear OOA(3161, 56, F3, 4, 88) (dual of [(56, 4), 63, 89]-NRT-code) | [i] | ||
44 | Linear OOA(3198, 61, F3, 4, 114) (dual of [(61, 4), 46, 115]-NRT-code) | [i] | ||
45 | Linear OOA(3197, 61, F3, 4, 113) (dual of [(61, 4), 47, 114]-NRT-code) | [i] | ||
46 | Linear OOA(3196, 61, F3, 4, 112) (dual of [(61, 4), 48, 113]-NRT-code) | [i] | ||
47 | Linear OOA(3195, 61, F3, 4, 111) (dual of [(61, 4), 49, 112]-NRT-code) | [i] | ||
48 | Linear OOA(3194, 61, F3, 4, 110) (dual of [(61, 4), 50, 111]-NRT-code) | [i] | ||
49 | Linear OOA(3193, 61, F3, 4, 109) (dual of [(61, 4), 51, 110]-NRT-code) | [i] | ||
50 | Linear OOA(3192, 61, F3, 4, 108) (dual of [(61, 4), 52, 109]-NRT-code) | [i] | ||
51 | Linear OOA(3191, 61, F3, 4, 107) (dual of [(61, 4), 53, 108]-NRT-code) | [i] | ||
52 | Linear OOA(3190, 61, F3, 4, 106) (dual of [(61, 4), 54, 107]-NRT-code) | [i] | ||
53 | Linear OOA(3189, 61, F3, 4, 105) (dual of [(61, 4), 55, 106]-NRT-code) | [i] | ||
54 | Linear OOA(3188, 61, F3, 4, 104) (dual of [(61, 4), 56, 105]-NRT-code) | [i] | ||
55 | Linear OOA(3187, 61, F3, 4, 103) (dual of [(61, 4), 57, 104]-NRT-code) | [i] | ||
56 | Linear OOA(3186, 61, F3, 4, 102) (dual of [(61, 4), 58, 103]-NRT-code) | [i] | ||
57 | Linear OOA(3185, 61, F3, 4, 101) (dual of [(61, 4), 59, 102]-NRT-code) | [i] | ||
58 | Linear OOA(3184, 61, F3, 4, 100) (dual of [(61, 4), 60, 101]-NRT-code) | [i] | ||
59 | Linear OOA(3183, 61, F3, 4, 99) (dual of [(61, 4), 61, 100]-NRT-code) | [i] | ||
60 | Linear OOA(3182, 61, F3, 4, 98) (dual of [(61, 4), 62, 99]-NRT-code) | [i] | ||
61 | Linear OOA(3181, 61, F3, 4, 97) (dual of [(61, 4), 63, 98]-NRT-code) | [i] | ||
62 | Linear OOA(3180, 61, F3, 4, 96) (dual of [(61, 4), 64, 97]-NRT-code) | [i] | ||
63 | Linear OOA(3179, 61, F3, 4, 95) (dual of [(61, 4), 65, 96]-NRT-code) | [i] | ||
64 | Linear OOA(3178, 61, F3, 4, 94) (dual of [(61, 4), 66, 95]-NRT-code) | [i] | ||
65 | Linear OOA(3177, 61, F3, 4, 93) (dual of [(61, 4), 67, 94]-NRT-code) | [i] | ||
66 | Linear OOA(3176, 61, F3, 4, 92) (dual of [(61, 4), 68, 93]-NRT-code) | [i] | ||
67 | Linear OOA(3175, 61, F3, 4, 91) (dual of [(61, 4), 69, 92]-NRT-code) | [i] | ||
68 | Linear OOA(3174, 61, F3, 4, 90) (dual of [(61, 4), 70, 91]-NRT-code) | [i] | ||
69 | Linear OOA(3222, 67, F3, 4, 132) (dual of [(67, 4), 46, 133]-NRT-code) | [i] | ||
70 | Linear OOA(3221, 67, F3, 4, 131) (dual of [(67, 4), 47, 132]-NRT-code) | [i] | ||
71 | Linear OOA(3220, 67, F3, 4, 130) (dual of [(67, 4), 48, 131]-NRT-code) | [i] | ||
72 | Linear OOA(3219, 67, F3, 4, 129) (dual of [(67, 4), 49, 130]-NRT-code) | [i] | ||
73 | Linear OOA(3218, 67, F3, 4, 128) (dual of [(67, 4), 50, 129]-NRT-code) | [i] | ||
74 | Linear OOA(3217, 67, F3, 4, 127) (dual of [(67, 4), 51, 128]-NRT-code) | [i] | ||
75 | Linear OOA(3216, 67, F3, 4, 126) (dual of [(67, 4), 52, 127]-NRT-code) | [i] | ||
76 | Linear OOA(3215, 67, F3, 4, 125) (dual of [(67, 4), 53, 126]-NRT-code) | [i] | ||
77 | Linear OOA(3214, 67, F3, 4, 124) (dual of [(67, 4), 54, 125]-NRT-code) | [i] | ||
78 | Linear OOA(3213, 67, F3, 4, 123) (dual of [(67, 4), 55, 124]-NRT-code) | [i] | ||
79 | Linear OOA(3212, 67, F3, 4, 122) (dual of [(67, 4), 56, 123]-NRT-code) | [i] | ||
80 | Linear OOA(3211, 67, F3, 4, 121) (dual of [(67, 4), 57, 122]-NRT-code) | [i] | ||
81 | Linear OOA(3210, 67, F3, 4, 120) (dual of [(67, 4), 58, 121]-NRT-code) | [i] | ||
82 | Linear OOA(3209, 67, F3, 4, 119) (dual of [(67, 4), 59, 120]-NRT-code) | [i] | ||
83 | Linear OOA(3208, 67, F3, 4, 118) (dual of [(67, 4), 60, 119]-NRT-code) | [i] | ||
84 | Linear OOA(3207, 67, F3, 4, 117) (dual of [(67, 4), 61, 118]-NRT-code) | [i] | ||
85 | Linear OOA(3206, 67, F3, 4, 116) (dual of [(67, 4), 62, 117]-NRT-code) | [i] | ||
86 | Linear OOA(3205, 67, F3, 4, 115) (dual of [(67, 4), 63, 116]-NRT-code) | [i] | ||
87 | Linear OOA(3204, 67, F3, 4, 114) (dual of [(67, 4), 64, 115]-NRT-code) | [i] | ||
88 | Linear OOA(3203, 67, F3, 4, 113) (dual of [(67, 4), 65, 114]-NRT-code) | [i] | ||
89 | Linear OOA(3202, 67, F3, 4, 112) (dual of [(67, 4), 66, 113]-NRT-code) | [i] | ||
90 | Linear OOA(3201, 67, F3, 4, 111) (dual of [(67, 4), 67, 112]-NRT-code) | [i] | ||
91 | Linear OOA(3200, 67, F3, 4, 110) (dual of [(67, 4), 68, 111]-NRT-code) | [i] | ||
92 | Linear OOA(3199, 67, F3, 4, 109) (dual of [(67, 4), 69, 110]-NRT-code) | [i] | ||
93 | Linear OOA(3198, 67, F3, 4, 108) (dual of [(67, 4), 70, 109]-NRT-code) | [i] | ||
94 | Linear OOA(3197, 67, F3, 4, 107) (dual of [(67, 4), 71, 108]-NRT-code) | [i] | ||
95 | Linear OOA(3196, 67, F3, 4, 106) (dual of [(67, 4), 72, 107]-NRT-code) | [i] | ||
96 | Linear OOA(3195, 67, F3, 4, 105) (dual of [(67, 4), 73, 106]-NRT-code) | [i] | ||
97 | Linear OOA(3194, 67, F3, 4, 104) (dual of [(67, 4), 74, 105]-NRT-code) | [i] | ||
98 | Linear OOA(3193, 67, F3, 4, 103) (dual of [(67, 4), 75, 104]-NRT-code) | [i] | ||
99 | Linear OOA(3192, 67, F3, 4, 102) (dual of [(67, 4), 76, 103]-NRT-code) | [i] | ||
100 | Linear OOA(3191, 67, F3, 4, 101) (dual of [(67, 4), 77, 102]-NRT-code) | [i] | ||
101 | Linear OOA(3190, 67, F3, 4, 100) (dual of [(67, 4), 78, 101]-NRT-code) | [i] | ||
102 | Linear OOA(3189, 67, F3, 4, 99) (dual of [(67, 4), 79, 100]-NRT-code) | [i] | ||
103 | Linear OOA(3188, 67, F3, 4, 98) (dual of [(67, 4), 80, 99]-NRT-code) | [i] | ||
104 | Linear OOA(3187, 67, F3, 4, 97) (dual of [(67, 4), 81, 98]-NRT-code) | [i] | ||
105 | Linear OOA(3186, 67, F3, 4, 96) (dual of [(67, 4), 82, 97]-NRT-code) | [i] | ||
106 | Linear OOA(3185, 67, F3, 4, 95) (dual of [(67, 4), 83, 96]-NRT-code) | [i] | ||
107 | Linear OOA(3184, 67, F3, 4, 94) (dual of [(67, 4), 84, 95]-NRT-code) | [i] | ||
108 | Linear OOA(3183, 67, F3, 4, 93) (dual of [(67, 4), 85, 94]-NRT-code) | [i] | ||
109 | Linear OOA(3182, 67, F3, 4, 92) (dual of [(67, 4), 86, 93]-NRT-code) | [i] | ||
110 | Linear OOA(3181, 67, F3, 4, 91) (dual of [(67, 4), 87, 92]-NRT-code) | [i] | ||
111 | Linear OOA(3180, 67, F3, 4, 90) (dual of [(67, 4), 88, 91]-NRT-code) | [i] | ||
112 | Linear OOA(3179, 67, F3, 4, 89) (dual of [(67, 4), 89, 90]-NRT-code) | [i] | ||
113 | Linear OOA(3178, 67, F3, 4, 88) (dual of [(67, 4), 90, 89]-NRT-code) | [i] |