Information on Result #611746
Linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(3136, large, F3, 13) (dual of [large, large−136, 14]-code) | [i] | Strength Reduction | |
2 | Linear OA(3136, large, F3, 12) (dual of [large, large−136, 13]-code) | [i] | ||
3 | Linear OA(3136, large, F3, 11) (dual of [large, large−136, 12]-code) | [i] | ||
4 | Linear OA(3136, large, F3, 10) (dual of [large, large−136, 11]-code) | [i] | ||
5 | Linear OA(3136, large, F3, 9) (dual of [large, large−136, 10]-code) | [i] | ||
6 | Linear OA(3136, large, F3, 8) (dual of [large, large−136, 9]-code) | [i] | ||
7 | Linear OA(3136, large, F3, 7) (dual of [large, large−136, 8]-code) | [i] | ||
8 | Linear OA(3136, large, F3, 6) (dual of [large, large−136, 7]-code) | [i] | ||
9 | Linear OA(3136, large, F3, 5) (dual of [large, large−136, 6]-code) | [i] | ||
10 | Linear OA(3136, large, F3, 4) (dual of [large, large−136, 5]-code) | [i] | ||
11 | Linear OA(3136, large, F3, 3) (dual of [large, large−136, 4]-code) | [i] | ||
12 | Linear OA(3137, large, F3, 14) (dual of [large, large−137, 15]-code) | [i] | Code Embedding in Larger Space | |
13 | Linear OA(3138, large, F3, 14) (dual of [large, large−138, 15]-code) | [i] | ||
14 | Linear OA(3139, large, F3, 14) (dual of [large, large−139, 15]-code) | [i] | ||
15 | Linear OA(3140, large, F3, 14) (dual of [large, large−140, 15]-code) | [i] | ||
16 | Linear OA(3141, large, F3, 14) (dual of [large, large−141, 15]-code) | [i] | ||
17 | Linear OA(3142, large, F3, 14) (dual of [large, large−142, 15]-code) | [i] | ||
18 | Linear OA(3143, large, F3, 14) (dual of [large, large−143, 15]-code) | [i] | ||
19 | Linear OA(3144, large, F3, 14) (dual of [large, large−144, 15]-code) | [i] | ||
20 | Linear OA(3145, large, F3, 14) (dual of [large, large−145, 15]-code) | [i] | ||
21 | Linear OA(3146, large, F3, 14) (dual of [large, large−146, 15]-code) | [i] | ||
22 | Linear OA(3147, large, F3, 14) (dual of [large, large−147, 15]-code) | [i] | ||
23 | Linear OA(3148, large, F3, 14) (dual of [large, large−148, 15]-code) | [i] | ||
24 | Linear OA(3149, large, F3, 14) (dual of [large, large−149, 15]-code) | [i] | ||
25 | Linear OA(3152, large, F3, 14) (dual of [large, large−152, 15]-code) | [i] | ||
26 | Linear OA(3153, large, F3, 14) (dual of [large, large−153, 15]-code) | [i] | ||
27 | Linear OA(3154, large, F3, 14) (dual of [large, large−154, 15]-code) | [i] | ||
28 | Linear OA(3155, large, F3, 14) (dual of [large, large−155, 15]-code) | [i] | ||
29 | Linear OA(3156, large, F3, 14) (dual of [large, large−156, 15]-code) | [i] | ||
30 | Linear OA(3157, large, F3, 14) (dual of [large, large−157, 15]-code) | [i] | ||
31 | Linear OA(3158, large, F3, 14) (dual of [large, large−158, 15]-code) | [i] | ||
32 | Linear OA(3159, large, F3, 14) (dual of [large, large−159, 15]-code) | [i] | ||
33 | Linear OA(3160, large, F3, 14) (dual of [large, large−160, 15]-code) | [i] | ||
34 | Linear OA(3161, large, F3, 14) (dual of [large, large−161, 15]-code) | [i] | ||
35 | Linear OA(3162, large, F3, 14) (dual of [large, large−162, 15]-code) | [i] | ||
36 | Linear OA(3163, large, F3, 14) (dual of [large, large−163, 15]-code) | [i] | ||
37 | Linear OA(3164, large, F3, 14) (dual of [large, large−164, 15]-code) | [i] | ||
38 | Linear OA(3165, large, F3, 14) (dual of [large, large−165, 15]-code) | [i] | ||
39 | Linear OA(3167, large, F3, 14) (dual of [large, large−167, 15]-code) | [i] | ||
40 | Linear OA(3168, large, F3, 14) (dual of [large, large−168, 15]-code) | [i] | ||
41 | Linear OA(3169, large, F3, 14) (dual of [large, large−169, 15]-code) | [i] | ||
42 | Linear OA(3170, large, F3, 14) (dual of [large, large−170, 15]-code) | [i] | ||
43 | Linear OA(3171, large, F3, 14) (dual of [large, large−171, 15]-code) | [i] | ||
44 | Linear OA(3172, large, F3, 14) (dual of [large, large−172, 15]-code) | [i] | ||
45 | Linear OA(3173, large, F3, 14) (dual of [large, large−173, 15]-code) | [i] | ||
46 | Linear OA(3174, large, F3, 14) (dual of [large, large−174, 15]-code) | [i] | ||
47 | Linear OA(3175, large, F3, 14) (dual of [large, large−175, 15]-code) | [i] | ||
48 | Linear OA(3176, large, F3, 14) (dual of [large, large−176, 15]-code) | [i] | ||
49 | Linear OA(3177, large, F3, 14) (dual of [large, large−177, 15]-code) | [i] | ||
50 | Linear OA(3178, large, F3, 14) (dual of [large, large−178, 15]-code) | [i] | ||
51 | Linear OA(3179, large, F3, 14) (dual of [large, large−179, 15]-code) | [i] | ||
52 | Linear OA(3182, large, F3, 14) (dual of [large, large−182, 15]-code) | [i] | ||
53 | Linear OA(3183, large, F3, 14) (dual of [large, large−183, 15]-code) | [i] | ||
54 | Linear OA(3184, large, F3, 14) (dual of [large, large−184, 15]-code) | [i] | ||
55 | Linear OA(3185, large, F3, 14) (dual of [large, large−185, 15]-code) | [i] | ||
56 | Linear OA(3186, large, F3, 14) (dual of [large, large−186, 15]-code) | [i] | ||
57 | Linear OA(3187, large, F3, 14) (dual of [large, large−187, 15]-code) | [i] | ||
58 | Linear OA(3188, large, F3, 14) (dual of [large, large−188, 15]-code) | [i] | ||
59 | Linear OA(3189, large, F3, 14) (dual of [large, large−189, 15]-code) | [i] | ||
60 | Linear OA(3190, large, F3, 14) (dual of [large, large−190, 15]-code) | [i] | ||
61 | Linear OA(3191, large, F3, 14) (dual of [large, large−191, 15]-code) | [i] | ||
62 | Linear OA(3192, large, F3, 14) (dual of [large, large−192, 15]-code) | [i] | ||
63 | Linear OA(3193, large, F3, 14) (dual of [large, large−193, 15]-code) | [i] | ||
64 | Linear OA(3194, large, F3, 14) (dual of [large, large−194, 15]-code) | [i] | ||
65 | Linear OA(3195, large, F3, 14) (dual of [large, large−195, 15]-code) | [i] | ||
66 | Linear OA(3197, large, F3, 14) (dual of [large, large−197, 15]-code) | [i] | ||
67 | Linear OA(3198, large, F3, 14) (dual of [large, large−198, 15]-code) | [i] | ||
68 | Linear OA(3199, large, F3, 14) (dual of [large, large−199, 15]-code) | [i] | ||
69 | Linear OA(3200, large, F3, 14) (dual of [large, large−200, 15]-code) | [i] | ||
70 | Linear OA(3201, large, F3, 14) (dual of [large, large−201, 15]-code) | [i] | ||
71 | Linear OA(3202, large, F3, 14) (dual of [large, large−202, 15]-code) | [i] | ||
72 | Linear OA(3203, large, F3, 14) (dual of [large, large−203, 15]-code) | [i] | ||
73 | Linear OA(3204, large, F3, 14) (dual of [large, large−204, 15]-code) | [i] | ||
74 | Linear OA(3205, large, F3, 14) (dual of [large, large−205, 15]-code) | [i] | ||
75 | Linear OA(3206, large, F3, 14) (dual of [large, large−206, 15]-code) | [i] | ||
76 | Linear OA(3207, large, F3, 14) (dual of [large, large−207, 15]-code) | [i] | ||
77 | Linear OA(3208, large, F3, 14) (dual of [large, large−208, 15]-code) | [i] | ||
78 | Linear OA(3209, large, F3, 14) (dual of [large, large−209, 15]-code) | [i] | ||
79 | Linear OA(3212, large, F3, 14) (dual of [large, large−212, 15]-code) | [i] | ||
80 | Linear OA(3213, large, F3, 14) (dual of [large, large−213, 15]-code) | [i] | ||
81 | Linear OA(3214, large, F3, 14) (dual of [large, large−214, 15]-code) | [i] | ||
82 | Linear OA(3215, large, F3, 14) (dual of [large, large−215, 15]-code) | [i] | ||
83 | Linear OA(3216, large, F3, 14) (dual of [large, large−216, 15]-code) | [i] | ||
84 | Linear OA(3217, large, F3, 14) (dual of [large, large−217, 15]-code) | [i] | ||
85 | Linear OA(3218, large, F3, 14) (dual of [large, large−218, 15]-code) | [i] | ||
86 | Linear OA(3219, large, F3, 14) (dual of [large, large−219, 15]-code) | [i] | ||
87 | Linear OA(3220, large, F3, 14) (dual of [large, large−220, 15]-code) | [i] | ||
88 | Linear OA(3221, large, F3, 14) (dual of [large, large−221, 15]-code) | [i] | ||
89 | Linear OA(3222, large, F3, 14) (dual of [large, large−222, 15]-code) | [i] | ||
90 | Linear OA(3223, large, F3, 14) (dual of [large, large−223, 15]-code) | [i] | ||
91 | Linear OA(3224, large, F3, 14) (dual of [large, large−224, 15]-code) | [i] | ||
92 | Linear OA(3225, large, F3, 14) (dual of [large, large−225, 15]-code) | [i] | ||
93 | Linear OA(3227, large, F3, 14) (dual of [large, large−227, 15]-code) | [i] | ||
94 | Linear OA(3228, large, F3, 14) (dual of [large, large−228, 15]-code) | [i] | ||
95 | Linear OA(3229, large, F3, 14) (dual of [large, large−229, 15]-code) | [i] | ||
96 | Linear OA(3230, large, F3, 14) (dual of [large, large−230, 15]-code) | [i] | ||
97 | Linear OA(3231, large, F3, 14) (dual of [large, large−231, 15]-code) | [i] | ||
98 | Linear OA(3232, large, F3, 14) (dual of [large, large−232, 15]-code) | [i] | ||
99 | Linear OA(3233, large, F3, 14) (dual of [large, large−233, 15]-code) | [i] | ||
100 | Linear OA(3234, large, F3, 14) (dual of [large, large−234, 15]-code) | [i] | ||
101 | Linear OA(3235, large, F3, 14) (dual of [large, large−235, 15]-code) | [i] | ||
102 | Linear OA(3236, large, F3, 14) (dual of [large, large−236, 15]-code) | [i] | ||
103 | Linear OA(3237, large, F3, 14) (dual of [large, large−237, 15]-code) | [i] | ||
104 | Linear OA(3238, large, F3, 14) (dual of [large, large−238, 15]-code) | [i] | ||
105 | Linear OA(3239, large, F3, 14) (dual of [large, large−239, 15]-code) | [i] | ||
106 | Linear OA(3242, large, F3, 14) (dual of [large, large−242, 15]-code) | [i] | ||
107 | Linear OA(3243, large, F3, 14) (dual of [large, large−243, 15]-code) | [i] | ||
108 | Linear OA(3244, large, F3, 14) (dual of [large, large−244, 15]-code) | [i] | ||
109 | Linear OA(3245, large, F3, 14) (dual of [large, large−245, 15]-code) | [i] | ||
110 | Linear OA(3246, large, F3, 14) (dual of [large, large−246, 15]-code) | [i] | ||
111 | Linear OA(3247, large, F3, 14) (dual of [large, large−247, 15]-code) | [i] | ||
112 | Linear OA(3248, large, F3, 14) (dual of [large, large−248, 15]-code) | [i] | ||
113 | Linear OA(3249, large, F3, 14) (dual of [large, large−249, 15]-code) | [i] | ||
114 | Linear OA(3250, large, F3, 14) (dual of [large, large−250, 15]-code) | [i] | ||
115 | Linear OOA(3136, 4194301, F3, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code) | [i] | OOA Folding | |
116 | Linear OOA(3136, 2796201, F3, 3, 14) (dual of [(2796201, 3), 8388467, 15]-NRT-code) | [i] | ||
117 | Linear OOA(3136, 2097150, F3, 4, 14) (dual of [(2097150, 4), 8388464, 15]-NRT-code) | [i] | ||
118 | Linear OOA(3136, 1677720, F3, 5, 14) (dual of [(1677720, 5), 8388464, 15]-NRT-code) | [i] | ||
119 | Linear OOA(3136, 1198371, F3, 14, 14) (dual of [(1198371, 14), 16777058, 15]-NRT-code) | [i] | OA Folding and Stacking |