Information on Result #604463

Linear OA(377, 78, F3, 77) (dual of [78, 1, 78]-code or 78-arc in PG(76,3)), using dual of repetition code with length 78

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(377, 78, F3, 76) (dual of [78, 1, 77]-code) [i]Strength Reduction
2Linear OA(377, 78, F3, 75) (dual of [78, 1, 76]-code) [i]
3Linear OA(377, 78, F3, 74) (dual of [78, 1, 75]-code) [i]
4Linear OA(377, 78, F3, 73) (dual of [78, 1, 74]-code) [i]
5Linear OA(377, 78, F3, 72) (dual of [78, 1, 73]-code) [i]
6Linear OA(377, 78, F3, 71) (dual of [78, 1, 72]-code) [i]
7Linear OA(377, 78, F3, 70) (dual of [78, 1, 71]-code) [i]
8Linear OA(377, 78, F3, 69) (dual of [78, 1, 70]-code) [i]
9Linear OA(377, 78, F3, 68) (dual of [78, 1, 69]-code) [i]
10Linear OA(377, 78, F3, 67) (dual of [78, 1, 68]-code) [i]
11Linear OA(377, 78, F3, 66) (dual of [78, 1, 67]-code) [i]
12Linear OA(377, 78, F3, 65) (dual of [78, 1, 66]-code) [i]
13Linear OA(377, 78, F3, 64) (dual of [78, 1, 65]-code) [i]
14Linear OA(377, 78, F3, 63) (dual of [78, 1, 64]-code) [i]
15Linear OA(377, 78, F3, 62) (dual of [78, 1, 63]-code) [i]
16Linear OA(377, 78, F3, 61) (dual of [78, 1, 62]-code) [i]
17Linear OA(377, 78, F3, 60) (dual of [78, 1, 61]-code) [i]
18Linear OA(377, 78, F3, 59) (dual of [78, 1, 60]-code) [i]
19Linear OA(3140, 156, F3, 77) (dual of [156, 16, 78]-code) [i](u, u+v)-Construction
20Linear OA(3167, 202, F3, 77) (dual of [202, 35, 78]-code) [i]VarÅ¡amov–Edel Lengthening
21Linear OA(3175, 222, F3, 77) (dual of [222, 47, 78]-code) [i]
22Linear OA(3178, 230, F3, 77) (dual of [230, 52, 78]-code) [i]
23Linear OA(3179, 233, F3, 77) (dual of [233, 54, 78]-code) [i]
24Linear OA(3193, 276, F3, 77) (dual of [276, 83, 78]-code) [i]
25Linear OA(3195, 283, F3, 77) (dual of [283, 88, 78]-code) [i]
26Linear OA(3197, 290, F3, 77) (dual of [290, 93, 78]-code) [i]
27Linear OA(3201, 305, F3, 77) (dual of [305, 104, 78]-code) [i]
28Linear OA(3202, 309, F3, 77) (dual of [309, 107, 78]-code) [i]
29Linear OA(3203, 313, F3, 77) (dual of [313, 110, 78]-code) [i]
30Linear OA(3204, 317, F3, 77) (dual of [317, 113, 78]-code) [i]
31Linear OA(3205, 321, F3, 77) (dual of [321, 116, 78]-code) [i]
32Linear OA(3206, 325, F3, 77) (dual of [325, 119, 78]-code) [i]
33Linear OA(3207, 329, F3, 77) (dual of [329, 122, 78]-code) [i]
34Linear OA(3214, 360, F3, 77) (dual of [360, 146, 78]-code) [i]
35Linear OA(3217, 374, F3, 77) (dual of [374, 157, 78]-code) [i]
36Linear OA(3218, 379, F3, 77) (dual of [379, 161, 78]-code) [i]
37Linear OA(3219, 384, F3, 77) (dual of [384, 165, 78]-code) [i]
38Linear OA(3220, 389, F3, 77) (dual of [389, 169, 78]-code) [i]
39Linear OA(3221, 394, F3, 77) (dual of [394, 173, 78]-code) [i]
40Linear OA(3225, 415, F3, 77) (dual of [415, 190, 78]-code) [i]
41Linear OA(3227, 426, F3, 77) (dual of [426, 199, 78]-code) [i]
42Linear OA(3232, 455, F3, 77) (dual of [455, 223, 78]-code) [i]
43Linear OA(3240, 506, F3, 77) (dual of [506, 266, 78]-code) [i]
44Linear OA(3241, 513, F3, 77) (dual of [513, 272, 78]-code) [i]
45Linear OA(3242, 520, F3, 77) (dual of [520, 278, 78]-code) [i]
46Linear OA(3243, 527, F3, 77) (dual of [527, 284, 78]-code) [i]
47Linear OA(3244, 534, F3, 77) (dual of [534, 290, 78]-code) [i]
48Linear OA(3249, 571, F3, 77) (dual of [571, 322, 78]-code) [i]
49Linear OA(3250, 579, F3, 77) (dual of [579, 329, 78]-code) [i]