Information on Result #611793

Linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17

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(3152, large, F3, 16) (dual of [large, large−152, 17]-code) [i]Code Embedding in Larger Space
2Linear OA(3153, large, F3, 16) (dual of [large, large−153, 17]-code) [i]
3Linear OA(3154, large, F3, 16) (dual of [large, large−154, 17]-code) [i]
4Linear OA(3155, large, F3, 16) (dual of [large, large−155, 17]-code) [i]
5Linear OA(3156, large, F3, 16) (dual of [large, large−156, 17]-code) [i]
6Linear OA(3157, large, F3, 16) (dual of [large, large−157, 17]-code) [i]
7Linear OA(3158, large, F3, 16) (dual of [large, large−158, 17]-code) [i]
8Linear OA(3159, large, F3, 16) (dual of [large, large−159, 17]-code) [i]
9Linear OA(3160, large, F3, 16) (dual of [large, large−160, 17]-code) [i]
10Linear OA(3161, large, F3, 16) (dual of [large, large−161, 17]-code) [i]
11Linear OA(3162, large, F3, 16) (dual of [large, large−162, 17]-code) [i]
12Linear OA(3163, large, F3, 16) (dual of [large, large−163, 17]-code) [i]
13Linear OA(3164, large, F3, 16) (dual of [large, large−164, 17]-code) [i]
14Linear OA(3165, large, F3, 16) (dual of [large, large−165, 17]-code) [i]
15Linear OA(3167, large, F3, 16) (dual of [large, large−167, 17]-code) [i]
16Linear OA(3168, large, F3, 16) (dual of [large, large−168, 17]-code) [i]
17Linear OA(3169, large, F3, 16) (dual of [large, large−169, 17]-code) [i]
18Linear OA(3170, large, F3, 16) (dual of [large, large−170, 17]-code) [i]
19Linear OA(3171, large, F3, 16) (dual of [large, large−171, 17]-code) [i]
20Linear OA(3172, large, F3, 16) (dual of [large, large−172, 17]-code) [i]
21Linear OA(3173, large, F3, 16) (dual of [large, large−173, 17]-code) [i]
22Linear OA(3174, large, F3, 16) (dual of [large, large−174, 17]-code) [i]
23Linear OA(3175, large, F3, 16) (dual of [large, large−175, 17]-code) [i]
24Linear OA(3176, large, F3, 16) (dual of [large, large−176, 17]-code) [i]
25Linear OA(3177, large, F3, 16) (dual of [large, large−177, 17]-code) [i]
26Linear OA(3178, large, F3, 16) (dual of [large, large−178, 17]-code) [i]
27Linear OA(3179, large, F3, 16) (dual of [large, large−179, 17]-code) [i]
28Linear OA(3182, large, F3, 16) (dual of [large, large−182, 17]-code) [i]
29Linear OA(3183, large, F3, 16) (dual of [large, large−183, 17]-code) [i]
30Linear OA(3184, large, F3, 16) (dual of [large, large−184, 17]-code) [i]
31Linear OA(3185, large, F3, 16) (dual of [large, large−185, 17]-code) [i]
32Linear OA(3186, large, F3, 16) (dual of [large, large−186, 17]-code) [i]
33Linear OA(3187, large, F3, 16) (dual of [large, large−187, 17]-code) [i]
34Linear OA(3188, large, F3, 16) (dual of [large, large−188, 17]-code) [i]
35Linear OA(3189, large, F3, 16) (dual of [large, large−189, 17]-code) [i]
36Linear OA(3190, large, F3, 16) (dual of [large, large−190, 17]-code) [i]
37Linear OA(3191, large, F3, 16) (dual of [large, large−191, 17]-code) [i]
38Linear OA(3192, large, F3, 16) (dual of [large, large−192, 17]-code) [i]
39Linear OA(3193, large, F3, 16) (dual of [large, large−193, 17]-code) [i]
40Linear OA(3194, large, F3, 16) (dual of [large, large−194, 17]-code) [i]
41Linear OA(3195, large, F3, 16) (dual of [large, large−195, 17]-code) [i]
42Linear OA(3197, large, F3, 16) (dual of [large, large−197, 17]-code) [i]
43Linear OA(3198, large, F3, 16) (dual of [large, large−198, 17]-code) [i]
44Linear OA(3199, large, F3, 16) (dual of [large, large−199, 17]-code) [i]
45Linear OA(3200, large, F3, 16) (dual of [large, large−200, 17]-code) [i]
46Linear OA(3201, large, F3, 16) (dual of [large, large−201, 17]-code) [i]
47Linear OA(3202, large, F3, 16) (dual of [large, large−202, 17]-code) [i]
48Linear OA(3203, large, F3, 16) (dual of [large, large−203, 17]-code) [i]
49Linear OA(3204, large, F3, 16) (dual of [large, large−204, 17]-code) [i]
50Linear OA(3205, large, F3, 16) (dual of [large, large−205, 17]-code) [i]
51Linear OA(3206, large, F3, 16) (dual of [large, large−206, 17]-code) [i]
52Linear OA(3207, large, F3, 16) (dual of [large, large−207, 17]-code) [i]
53Linear OA(3208, large, F3, 16) (dual of [large, large−208, 17]-code) [i]
54Linear OA(3209, large, F3, 16) (dual of [large, large−209, 17]-code) [i]
55Linear OA(3212, large, F3, 16) (dual of [large, large−212, 17]-code) [i]
56Linear OA(3213, large, F3, 16) (dual of [large, large−213, 17]-code) [i]
57Linear OA(3214, large, F3, 16) (dual of [large, large−214, 17]-code) [i]
58Linear OA(3215, large, F3, 16) (dual of [large, large−215, 17]-code) [i]
59Linear OA(3216, large, F3, 16) (dual of [large, large−216, 17]-code) [i]
60Linear OA(3217, large, F3, 16) (dual of [large, large−217, 17]-code) [i]
61Linear OA(3218, large, F3, 16) (dual of [large, large−218, 17]-code) [i]
62Linear OA(3219, large, F3, 16) (dual of [large, large−219, 17]-code) [i]
63Linear OA(3220, large, F3, 16) (dual of [large, large−220, 17]-code) [i]
64Linear OA(3221, large, F3, 16) (dual of [large, large−221, 17]-code) [i]
65Linear OA(3222, large, F3, 16) (dual of [large, large−222, 17]-code) [i]
66Linear OA(3223, large, F3, 16) (dual of [large, large−223, 17]-code) [i]
67Linear OA(3224, large, F3, 16) (dual of [large, large−224, 17]-code) [i]
68Linear OA(3225, large, F3, 16) (dual of [large, large−225, 17]-code) [i]
69Linear OA(3227, large, F3, 16) (dual of [large, large−227, 17]-code) [i]
70Linear OA(3228, large, F3, 16) (dual of [large, large−228, 17]-code) [i]
71Linear OA(3229, large, F3, 16) (dual of [large, large−229, 17]-code) [i]
72Linear OA(3230, large, F3, 16) (dual of [large, large−230, 17]-code) [i]
73Linear OA(3231, large, F3, 16) (dual of [large, large−231, 17]-code) [i]
74Linear OA(3232, large, F3, 16) (dual of [large, large−232, 17]-code) [i]
75Linear OA(3233, large, F3, 16) (dual of [large, large−233, 17]-code) [i]
76Linear OA(3234, large, F3, 16) (dual of [large, large−234, 17]-code) [i]
77Linear OA(3235, large, F3, 16) (dual of [large, large−235, 17]-code) [i]
78Linear OA(3236, large, F3, 16) (dual of [large, large−236, 17]-code) [i]
79Linear OA(3237, large, F3, 16) (dual of [large, large−237, 17]-code) [i]
80Linear OA(3238, large, F3, 16) (dual of [large, large−238, 17]-code) [i]
81Linear OA(3239, large, F3, 16) (dual of [large, large−239, 17]-code) [i]
82Linear OA(3242, large, F3, 16) (dual of [large, large−242, 17]-code) [i]
83Linear OA(3243, large, F3, 16) (dual of [large, large−243, 17]-code) [i]
84Linear OA(3244, large, F3, 16) (dual of [large, large−244, 17]-code) [i]
85Linear OA(3245, large, F3, 16) (dual of [large, large−245, 17]-code) [i]
86Linear OA(3246, large, F3, 16) (dual of [large, large−246, 17]-code) [i]
87Linear OA(3247, large, F3, 16) (dual of [large, large−247, 17]-code) [i]
88Linear OA(3248, large, F3, 16) (dual of [large, large−248, 17]-code) [i]
89Linear OA(3249, large, F3, 16) (dual of [large, large−249, 17]-code) [i]
90Linear OA(3250, large, F3, 16) (dual of [large, large−250, 17]-code) [i]
91Linear OOA(3151, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code) [i]OOA Folding
92Linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code) [i]
93Linear OOA(3151, 2097150, F3, 4, 16) (dual of [(2097150, 4), 8388449, 17]-NRT-code) [i]
94Linear OOA(3151, 1677720, F3, 5, 16) (dual of [(1677720, 5), 8388449, 17]-NRT-code) [i]
95Linear OOA(3151, 1048575, F3, 16, 16) (dual of [(1048575, 16), 16777049, 17]-NRT-code) [i]OA Folding and Stacking