Information on Result #604435

Linear OA(349, 50, F3, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,3)), using dual of repetition code with length 50

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.

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:

ResultThis
result
only
Method
1Linear OA(349, 50, F3, 48) (dual of [50, 1, 49]-code) [i]Strength Reduction
2Linear OA(349, 50, F3, 47) (dual of [50, 1, 48]-code) [i]
3Linear OA(349, 50, F3, 46) (dual of [50, 1, 47]-code) [i]
4Linear OA(349, 50, F3, 45) (dual of [50, 1, 46]-code) [i]
5Linear OA(349, 50, F3, 44) (dual of [50, 1, 45]-code) [i]
6Linear OA(349, 50, F3, 43) (dual of [50, 1, 44]-code) [i]
7Linear OA(349, 50, F3, 42) (dual of [50, 1, 43]-code) [i]
8Linear OA(349, 50, F3, 41) (dual of [50, 1, 42]-code) [i]
9Linear OA(349, 50, F3, 40) (dual of [50, 1, 41]-code) [i]
10Linear OA(349, 50, F3, 39) (dual of [50, 1, 40]-code) [i]
11Linear OA(349, 50, F3, 38) (dual of [50, 1, 39]-code) [i]
12Linear OA(3145, 150, F3, 98) (dual of [150, 5, 99]-code) [i](u, u−v, u+v+w)-Construction
13Linear OA(3110, 141, F3, 49) (dual of [141, 31, 50]-code) [i]VarÅ¡amov–Edel Lengthening
14Linear OA(3116, 158, F3, 49) (dual of [158, 42, 50]-code) [i]
15Linear OA(3117, 161, F3, 49) (dual of [161, 44, 50]-code) [i]
16Linear OA(3121, 174, F3, 49) (dual of [174, 53, 50]-code) [i]
17Linear OA(3123, 181, F3, 49) (dual of [181, 58, 50]-code) [i]
18Linear OA(3127, 196, F3, 49) (dual of [196, 69, 50]-code) [i]
19Linear OA(3128, 200, F3, 49) (dual of [200, 72, 50]-code) [i]
20Linear OA(3129, 204, F3, 49) (dual of [204, 75, 50]-code) [i]
21Linear OA(3137, 240, F3, 49) (dual of [240, 103, 50]-code) [i]
22Linear OA(3138, 245, F3, 49) (dual of [245, 107, 50]-code) [i]
23Linear OA(3139, 250, F3, 49) (dual of [250, 111, 50]-code) [i]
24Linear OA(3142, 266, F3, 49) (dual of [266, 124, 50]-code) [i]
25Linear OA(3149, 308, F3, 49) (dual of [308, 159, 50]-code) [i]
26Linear OA(3157, 365, F3, 49) (dual of [365, 208, 50]-code) [i]
27Linear OA(3158, 373, F3, 49) (dual of [373, 215, 50]-code) [i]
28Linear OA(3159, 381, F3, 49) (dual of [381, 222, 50]-code) [i]
29Linear OA(3166, 443, F3, 49) (dual of [443, 277, 50]-code) [i]
30Linear OA(3170, 483, F3, 49) (dual of [483, 313, 50]-code) [i]
31Linear OA(3174, 527, F3, 49) (dual of [527, 353, 50]-code) [i]
32Linear OA(3179, 588, F3, 49) (dual of [588, 409, 50]-code) [i]
33Linear OA(3180, 601, F3, 49) (dual of [601, 421, 50]-code) [i]
34Linear OA(3182, 628, F3, 49) (dual of [628, 446, 50]-code) [i]
35Linear OA(3183, 642, F3, 49) (dual of [642, 459, 50]-code) [i]
36Linear OA(3185, 671, F3, 49) (dual of [671, 486, 50]-code) [i]
37Linear OA(3186, 686, F3, 49) (dual of [686, 500, 50]-code) [i]
38Linear OA(3188, 717, F3, 49) (dual of [717, 529, 50]-code) [i]
39Linear OA(3189, 733, F3, 49) (dual of [733, 544, 50]-code) [i]
40Linear OA(3191, 766, F3, 49) (dual of [766, 575, 50]-code) [i]
41Linear OA(3196, 856, F3, 49) (dual of [856, 660, 50]-code) [i]
42Linear OA(3198, 895, F3, 49) (dual of [895, 697, 50]-code) [i]
43Linear OA(3199, 915, F3, 49) (dual of [915, 716, 50]-code) [i]
44Linear OA(3204, 1023, F3, 49) (dual of [1023, 819, 50]-code) [i]
45Linear OA(3206, 1070, F3, 49) (dual of [1070, 864, 50]-code) [i]
46Linear OA(3207, 1094, F3, 49) (dual of [1094, 887, 50]-code) [i]
47Linear OA(3208, 1119, F3, 49) (dual of [1119, 911, 50]-code) [i]
48Linear OA(3214, 1280, F3, 49) (dual of [1280, 1066, 50]-code) [i]
49Linear OA(3215, 1309, F3, 49) (dual of [1309, 1094, 50]-code) [i]
50Linear OA(3216, 1339, F3, 49) (dual of [1339, 1123, 50]-code) [i]
51Linear OA(3220, 1465, F3, 49) (dual of [1465, 1245, 50]-code) [i]
52Linear OA(3224, 1603, F3, 49) (dual of [1603, 1379, 50]-code) [i]
53Linear OA(3241, 2354, F3, 49) (dual of [2354, 2113, 50]-code) [i]
54Linear OA(3242, 2408, F3, 49) (dual of [2408, 2166, 50]-code) [i]
55Linear OA(3243, 2463, F3, 49) (dual of [2463, 2220, 50]-code) [i]
56Linear OA(3249, 2822, F3, 49) (dual of [2822, 2573, 50]-code) [i]
57Linear OA(3250, 2887, F3, 49) (dual of [2887, 2637, 50]-code) [i]