Information on Result #611683

Linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12

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:

ResultThis
result
only
Method
1Linear OA(3106, large, F3, 10) (dual of [large, large−106, 11]-code) [i]Strength Reduction
2Linear OA(3106, large, F3, 9) (dual of [large, large−106, 10]-code) [i]
3Linear OA(3106, large, F3, 8) (dual of [large, large−106, 9]-code) [i]
4Linear OA(3106, large, F3, 7) (dual of [large, large−106, 8]-code) [i]
5Linear OA(3106, large, F3, 6) (dual of [large, large−106, 7]-code) [i]
6Linear OA(3106, large, F3, 5) (dual of [large, large−106, 6]-code) [i]
7Linear OA(3106, large, F3, 4) (dual of [large, large−106, 5]-code) [i]
8Linear OA(3106, large, F3, 3) (dual of [large, large−106, 4]-code) [i]
9Linear OA(3107, large, F3, 11) (dual of [large, large−107, 12]-code) [i]Code Embedding in Larger Space
10Linear OA(3108, large, F3, 11) (dual of [large, large−108, 12]-code) [i]
11Linear OA(3109, large, F3, 11) (dual of [large, large−109, 12]-code) [i]
12Linear OA(3110, large, F3, 11) (dual of [large, large−110, 12]-code) [i]
13Linear OA(3111, large, F3, 11) (dual of [large, large−111, 12]-code) [i]
14Linear OA(3112, large, F3, 11) (dual of [large, large−112, 12]-code) [i]
15Linear OA(3113, large, F3, 11) (dual of [large, large−113, 12]-code) [i]
16Linear OA(3114, large, F3, 11) (dual of [large, large−114, 12]-code) [i]
17Linear OA(3115, large, F3, 11) (dual of [large, large−115, 12]-code) [i]
18Linear OA(3116, large, F3, 11) (dual of [large, large−116, 12]-code) [i]
19Linear OA(3117, large, F3, 11) (dual of [large, large−117, 12]-code) [i]
20Linear OA(3118, large, F3, 11) (dual of [large, large−118, 12]-code) [i]
21Linear OA(3119, large, F3, 11) (dual of [large, large−119, 12]-code) [i]
22Linear OA(3122, large, F3, 11) (dual of [large, large−122, 12]-code) [i]
23Linear OA(3123, large, F3, 11) (dual of [large, large−123, 12]-code) [i]
24Linear OA(3124, large, F3, 11) (dual of [large, large−124, 12]-code) [i]
25Linear OA(3125, large, F3, 11) (dual of [large, large−125, 12]-code) [i]
26Linear OA(3126, large, F3, 11) (dual of [large, large−126, 12]-code) [i]
27Linear OA(3127, large, F3, 11) (dual of [large, large−127, 12]-code) [i]
28Linear OA(3128, large, F3, 11) (dual of [large, large−128, 12]-code) [i]
29Linear OA(3129, large, F3, 11) (dual of [large, large−129, 12]-code) [i]
30Linear OA(3130, large, F3, 11) (dual of [large, large−130, 12]-code) [i]
31Linear OA(3131, large, F3, 11) (dual of [large, large−131, 12]-code) [i]
32Linear OA(3132, large, F3, 11) (dual of [large, large−132, 12]-code) [i]
33Linear OA(3133, large, F3, 11) (dual of [large, large−133, 12]-code) [i]
34Linear OA(3134, large, F3, 11) (dual of [large, large−134, 12]-code) [i]
35Linear OA(3135, large, F3, 11) (dual of [large, large−135, 12]-code) [i]
36Linear OA(3137, large, F3, 11) (dual of [large, large−137, 12]-code) [i]
37Linear OA(3138, large, F3, 11) (dual of [large, large−138, 12]-code) [i]
38Linear OA(3139, large, F3, 11) (dual of [large, large−139, 12]-code) [i]
39Linear OA(3140, large, F3, 11) (dual of [large, large−140, 12]-code) [i]
40Linear OA(3141, large, F3, 11) (dual of [large, large−141, 12]-code) [i]
41Linear OA(3142, large, F3, 11) (dual of [large, large−142, 12]-code) [i]
42Linear OA(3143, large, F3, 11) (dual of [large, large−143, 12]-code) [i]
43Linear OA(3144, large, F3, 11) (dual of [large, large−144, 12]-code) [i]
44Linear OA(3145, large, F3, 11) (dual of [large, large−145, 12]-code) [i]
45Linear OA(3146, large, F3, 11) (dual of [large, large−146, 12]-code) [i]
46Linear OA(3147, large, F3, 11) (dual of [large, large−147, 12]-code) [i]
47Linear OA(3148, large, F3, 11) (dual of [large, large−148, 12]-code) [i]
48Linear OA(3149, large, F3, 11) (dual of [large, large−149, 12]-code) [i]
49Linear OA(3152, large, F3, 11) (dual of [large, large−152, 12]-code) [i]
50Linear OA(3153, large, F3, 11) (dual of [large, large−153, 12]-code) [i]
51Linear OA(3154, large, F3, 11) (dual of [large, large−154, 12]-code) [i]
52Linear OA(3155, large, F3, 11) (dual of [large, large−155, 12]-code) [i]
53Linear OA(3156, large, F3, 11) (dual of [large, large−156, 12]-code) [i]
54Linear OA(3157, large, F3, 11) (dual of [large, large−157, 12]-code) [i]
55Linear OA(3158, large, F3, 11) (dual of [large, large−158, 12]-code) [i]
56Linear OA(3159, large, F3, 11) (dual of [large, large−159, 12]-code) [i]
57Linear OA(3160, large, F3, 11) (dual of [large, large−160, 12]-code) [i]
58Linear OA(3161, large, F3, 11) (dual of [large, large−161, 12]-code) [i]
59Linear OA(3162, large, F3, 11) (dual of [large, large−162, 12]-code) [i]
60Linear OA(3163, large, F3, 11) (dual of [large, large−163, 12]-code) [i]
61Linear OA(3164, large, F3, 11) (dual of [large, large−164, 12]-code) [i]
62Linear OA(3165, large, F3, 11) (dual of [large, large−165, 12]-code) [i]
63Linear OA(3167, large, F3, 11) (dual of [large, large−167, 12]-code) [i]
64Linear OA(3168, large, F3, 11) (dual of [large, large−168, 12]-code) [i]
65Linear OA(3169, large, F3, 11) (dual of [large, large−169, 12]-code) [i]
66Linear OA(3170, large, F3, 11) (dual of [large, large−170, 12]-code) [i]
67Linear OA(3171, large, F3, 11) (dual of [large, large−171, 12]-code) [i]
68Linear OA(3172, large, F3, 11) (dual of [large, large−172, 12]-code) [i]
69Linear OA(3173, large, F3, 11) (dual of [large, large−173, 12]-code) [i]
70Linear OA(3174, large, F3, 11) (dual of [large, large−174, 12]-code) [i]
71Linear OA(3175, large, F3, 11) (dual of [large, large−175, 12]-code) [i]
72Linear OA(3176, large, F3, 11) (dual of [large, large−176, 12]-code) [i]
73Linear OA(3177, large, F3, 11) (dual of [large, large−177, 12]-code) [i]
74Linear OA(3178, large, F3, 11) (dual of [large, large−178, 12]-code) [i]
75Linear OA(3179, large, F3, 11) (dual of [large, large−179, 12]-code) [i]
76Linear OA(3182, large, F3, 11) (dual of [large, large−182, 12]-code) [i]
77Linear OA(3183, large, F3, 11) (dual of [large, large−183, 12]-code) [i]
78Linear OA(3184, large, F3, 11) (dual of [large, large−184, 12]-code) [i]
79Linear OA(3185, large, F3, 11) (dual of [large, large−185, 12]-code) [i]
80Linear OA(3186, large, F3, 11) (dual of [large, large−186, 12]-code) [i]
81Linear OA(3187, large, F3, 11) (dual of [large, large−187, 12]-code) [i]
82Linear OA(3188, large, F3, 11) (dual of [large, large−188, 12]-code) [i]
83Linear OA(3189, large, F3, 11) (dual of [large, large−189, 12]-code) [i]
84Linear OA(3190, large, F3, 11) (dual of [large, large−190, 12]-code) [i]
85Linear OA(3191, large, F3, 11) (dual of [large, large−191, 12]-code) [i]
86Linear OA(3192, large, F3, 11) (dual of [large, large−192, 12]-code) [i]
87Linear OA(3193, large, F3, 11) (dual of [large, large−193, 12]-code) [i]
88Linear OA(3194, large, F3, 11) (dual of [large, large−194, 12]-code) [i]
89Linear OA(3195, large, F3, 11) (dual of [large, large−195, 12]-code) [i]
90Linear OA(3197, large, F3, 11) (dual of [large, large−197, 12]-code) [i]
91Linear OA(3198, large, F3, 11) (dual of [large, large−198, 12]-code) [i]
92Linear OA(3199, large, F3, 11) (dual of [large, large−199, 12]-code) [i]
93Linear OA(3200, large, F3, 11) (dual of [large, large−200, 12]-code) [i]
94Linear OA(3201, large, F3, 11) (dual of [large, large−201, 12]-code) [i]
95Linear OA(3202, large, F3, 11) (dual of [large, large−202, 12]-code) [i]
96Linear OA(3203, large, F3, 11) (dual of [large, large−203, 12]-code) [i]
97Linear OA(3204, large, F3, 11) (dual of [large, large−204, 12]-code) [i]
98Linear OA(3205, large, F3, 11) (dual of [large, large−205, 12]-code) [i]
99Linear OA(3206, large, F3, 11) (dual of [large, large−206, 12]-code) [i]
100Linear OA(3207, large, F3, 11) (dual of [large, large−207, 12]-code) [i]
101Linear OA(3208, large, F3, 11) (dual of [large, large−208, 12]-code) [i]
102Linear OA(3209, large, F3, 11) (dual of [large, large−209, 12]-code) [i]
103Linear OA(3212, large, F3, 11) (dual of [large, large−212, 12]-code) [i]
104Linear OA(3213, large, F3, 11) (dual of [large, large−213, 12]-code) [i]
105Linear OA(3214, large, F3, 11) (dual of [large, large−214, 12]-code) [i]
106Linear OA(3215, large, F3, 11) (dual of [large, large−215, 12]-code) [i]
107Linear OA(3216, large, F3, 11) (dual of [large, large−216, 12]-code) [i]
108Linear OA(3217, large, F3, 11) (dual of [large, large−217, 12]-code) [i]
109Linear OA(3218, large, F3, 11) (dual of [large, large−218, 12]-code) [i]
110Linear OA(3219, large, F3, 11) (dual of [large, large−219, 12]-code) [i]
111Linear OA(3220, large, F3, 11) (dual of [large, large−220, 12]-code) [i]
112Linear OA(3221, large, F3, 11) (dual of [large, large−221, 12]-code) [i]
113Linear OA(3222, large, F3, 11) (dual of [large, large−222, 12]-code) [i]
114Linear OA(3223, large, F3, 11) (dual of [large, large−223, 12]-code) [i]
115Linear OA(3224, large, F3, 11) (dual of [large, large−224, 12]-code) [i]
116Linear OA(3225, large, F3, 11) (dual of [large, large−225, 12]-code) [i]
117Linear OA(3227, large, F3, 11) (dual of [large, large−227, 12]-code) [i]
118Linear OA(3228, large, F3, 11) (dual of [large, large−228, 12]-code) [i]
119Linear OA(3229, large, F3, 11) (dual of [large, large−229, 12]-code) [i]
120Linear OA(3230, large, F3, 11) (dual of [large, large−230, 12]-code) [i]
121Linear OA(3231, large, F3, 11) (dual of [large, large−231, 12]-code) [i]
122Linear OA(3232, large, F3, 11) (dual of [large, large−232, 12]-code) [i]
123Linear OA(3233, large, F3, 11) (dual of [large, large−233, 12]-code) [i]
124Linear OA(3234, large, F3, 11) (dual of [large, large−234, 12]-code) [i]
125Linear OA(3235, large, F3, 11) (dual of [large, large−235, 12]-code) [i]
126Linear OA(3236, large, F3, 11) (dual of [large, large−236, 12]-code) [i]
127Linear OA(3237, large, F3, 11) (dual of [large, large−237, 12]-code) [i]
128Linear OA(3238, large, F3, 11) (dual of [large, large−238, 12]-code) [i]
129Linear OA(3239, large, F3, 11) (dual of [large, large−239, 12]-code) [i]
130Linear OA(3242, large, F3, 11) (dual of [large, large−242, 12]-code) [i]
131Linear OA(3243, large, F3, 11) (dual of [large, large−243, 12]-code) [i]
132Linear OA(3244, large, F3, 11) (dual of [large, large−244, 12]-code) [i]
133Linear OA(3245, large, F3, 11) (dual of [large, large−245, 12]-code) [i]
134Linear OA(3246, large, F3, 11) (dual of [large, large−246, 12]-code) [i]
135Linear OA(3247, large, F3, 11) (dual of [large, large−247, 12]-code) [i]
136Linear OA(3248, large, F3, 11) (dual of [large, large−248, 12]-code) [i]
137Linear OA(3249, large, F3, 11) (dual of [large, large−249, 12]-code) [i]
138Linear OA(3250, large, F3, 11) (dual of [large, large−250, 12]-code) [i]
139Linear OOA(3106, 4194301, F3, 2, 11) (dual of [(4194301, 2), 8388496, 12]-NRT-code) [i]OOA Folding
140Linear OOA(3106, 2796201, F3, 3, 11) (dual of [(2796201, 3), 8388497, 12]-NRT-code) [i]
141Linear OOA(3106, 2097150, F3, 4, 11) (dual of [(2097150, 4), 8388494, 12]-NRT-code) [i]
142Linear OOA(3106, 1677720, F3, 5, 11) (dual of [(1677720, 5), 8388494, 12]-NRT-code) [i]
143Linear OOA(3106, 1677720, F3, 11, 11) (dual of [(1677720, 11), 18454814, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row