Information on Result #604431

Linear OA(345, 46, F3, 45) (dual of [46, 1, 46]-code or 46-arc in PG(44,3)), using dual of repetition code with length 46

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(345, 46, F3, 44) (dual of [46, 1, 45]-code) [i]Strength Reduction
2Linear OA(345, 46, F3, 43) (dual of [46, 1, 44]-code) [i]
3Linear OA(345, 46, F3, 42) (dual of [46, 1, 43]-code) [i]
4Linear OA(345, 46, F3, 41) (dual of [46, 1, 42]-code) [i]
5Linear OA(345, 46, F3, 40) (dual of [46, 1, 41]-code) [i]
6Linear OA(345, 46, F3, 39) (dual of [46, 1, 40]-code) [i]
7Linear OA(345, 46, F3, 38) (dual of [46, 1, 39]-code) [i]
8Linear OA(345, 46, F3, 37) (dual of [46, 1, 38]-code) [i]
9Linear OA(345, 46, F3, 36) (dual of [46, 1, 37]-code) [i]
10Linear OA(345, 46, F3, 35) (dual of [46, 1, 36]-code) [i]
11Linear OA(399, 125, F3, 45) (dual of [125, 26, 46]-code) [i]VarÅ¡amov–Edel Lengthening
12Linear OA(3101, 130, F3, 45) (dual of [130, 29, 46]-code) [i]
13Linear OA(3102, 133, F3, 45) (dual of [133, 31, 46]-code) [i]
14Linear OA(3112, 164, F3, 45) (dual of [164, 52, 46]-code) [i]
15Linear OA(3115, 175, F3, 45) (dual of [175, 60, 46]-code) [i]
16Linear OA(3116, 179, F3, 45) (dual of [179, 63, 46]-code) [i]
17Linear OA(3117, 183, F3, 45) (dual of [183, 66, 46]-code) [i]
18Linear OA(3118, 187, F3, 45) (dual of [187, 69, 46]-code) [i]
19Linear OA(3119, 191, F3, 45) (dual of [191, 72, 46]-code) [i]
20Linear OA(3120, 195, F3, 45) (dual of [195, 75, 46]-code) [i]
21Linear OA(3122, 204, F3, 45) (dual of [204, 82, 46]-code) [i]
22Linear OA(3125, 218, F3, 45) (dual of [218, 93, 46]-code) [i]
23Linear OA(3126, 223, F3, 45) (dual of [223, 97, 46]-code) [i]
24Linear OA(3127, 228, F3, 45) (dual of [228, 101, 46]-code) [i]
25Linear OA(3130, 244, F3, 45) (dual of [244, 114, 46]-code) [i]
26Linear OA(3138, 293, F3, 45) (dual of [293, 155, 46]-code) [i]
27Linear OA(3139, 300, F3, 45) (dual of [300, 161, 46]-code) [i]
28Linear OA(3140, 307, F3, 45) (dual of [307, 167, 46]-code) [i]
29Linear OA(3141, 314, F3, 45) (dual of [314, 173, 46]-code) [i]
30Linear OA(3143, 329, F3, 45) (dual of [329, 186, 46]-code) [i]
31Linear OA(3147, 361, F3, 45) (dual of [361, 214, 46]-code) [i]
32Linear OA(3152, 406, F3, 45) (dual of [406, 254, 46]-code) [i]
33Linear OA(3153, 416, F3, 45) (dual of [416, 263, 46]-code) [i]
34Linear OA(3154, 426, F3, 45) (dual of [426, 272, 46]-code) [i]
35Linear OA(3155, 436, F3, 45) (dual of [436, 281, 46]-code) [i]
36Linear OA(3158, 468, F3, 45) (dual of [468, 310, 46]-code) [i]
37Linear OA(3160, 491, F3, 45) (dual of [491, 331, 46]-code) [i]
38Linear OA(3161, 503, F3, 45) (dual of [503, 342, 46]-code) [i]
39Linear OA(3162, 515, F3, 45) (dual of [515, 353, 46]-code) [i]
40Linear OA(3169, 609, F3, 45) (dual of [609, 440, 46]-code) [i]
41Linear OA(3170, 624, F3, 45) (dual of [624, 454, 46]-code) [i]
42Linear OA(3171, 639, F3, 45) (dual of [639, 468, 46]-code) [i]
43Linear OA(3174, 687, F3, 45) (dual of [687, 513, 46]-code) [i]
44Linear OA(3175, 704, F3, 45) (dual of [704, 529, 46]-code) [i]
45Linear OA(3176, 721, F3, 45) (dual of [721, 545, 46]-code) [i]
46Linear OA(3181, 814, F3, 45) (dual of [814, 633, 46]-code) [i]
47Linear OA(3182, 834, F3, 45) (dual of [834, 652, 46]-code) [i]
48Linear OA(3185, 897, F3, 45) (dual of [897, 712, 46]-code) [i]
49Linear OA(3187, 942, F3, 45) (dual of [942, 755, 46]-code) [i]
50Linear OA(3189, 989, F3, 45) (dual of [989, 800, 46]-code) [i]
51Linear OA(3227, 2519, F3, 45) (dual of [2519, 2292, 46]-code) [i]
52Linear OA(3229, 2647, F3, 45) (dual of [2647, 2418, 46]-code) [i]
53Linear OA(3232, 2851, F3, 45) (dual of [2851, 2619, 46]-code) [i]
54Linear OA(3235, 3071, F3, 45) (dual of [3071, 2836, 46]-code) [i]