Information on Result #604426

Linear OA(340, 41, F3, 40) (dual of [41, 1, 41]-code or 41-arc in PG(39,3)), using dual of repetition code with length 41

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(340, 41, F3, 39) (dual of [41, 1, 40]-code) [i]Strength Reduction
2Linear OA(340, 41, F3, 38) (dual of [41, 1, 39]-code) [i]
3Linear OA(340, 41, F3, 37) (dual of [41, 1, 38]-code) [i]
4Linear OA(340, 41, F3, 36) (dual of [41, 1, 37]-code) [i]
5Linear OA(340, 41, F3, 35) (dual of [41, 1, 36]-code) [i]
6Linear OA(340, 41, F3, 34) (dual of [41, 1, 35]-code) [i]
7Linear OA(340, 41, F3, 33) (dual of [41, 1, 34]-code) [i]
8Linear OA(340, 41, F3, 32) (dual of [41, 1, 33]-code) [i]
9Linear OA(340, 41, F3, 31) (dual of [41, 1, 32]-code) [i]
10Linear OA(394, 129, F3, 40) (dual of [129, 35, 41]-code) [i]VarÅ¡amov–Edel Lengthening
11Linear OA(395, 132, F3, 40) (dual of [132, 37, 41]-code) [i]
12Linear OA(3103, 160, F3, 40) (dual of [160, 57, 41]-code) [i]
13Linear OA(3104, 164, F3, 40) (dual of [164, 60, 41]-code) [i]
14Linear OA(3109, 186, F3, 40) (dual of [186, 77, 41]-code) [i]
15Linear OA(3122, 259, F3, 40) (dual of [259, 137, 41]-code) [i]
16Linear OA(3123, 266, F3, 40) (dual of [266, 143, 41]-code) [i]
17Linear OA(3124, 273, F3, 40) (dual of [273, 149, 41]-code) [i]
18Linear OA(3131, 328, F3, 40) (dual of [328, 197, 41]-code) [i]
19Linear OA(3132, 337, F3, 40) (dual of [337, 205, 41]-code) [i]
20Linear OA(3133, 346, F3, 40) (dual of [346, 213, 41]-code) [i]
21Linear OA(3135, 365, F3, 40) (dual of [365, 230, 41]-code) [i]
22Linear OA(3136, 375, F3, 40) (dual of [375, 239, 41]-code) [i]
23Linear OA(3137, 385, F3, 40) (dual of [385, 248, 41]-code) [i]
24Linear OA(3139, 406, F3, 40) (dual of [406, 267, 41]-code) [i]
25Linear OA(3140, 417, F3, 40) (dual of [417, 277, 41]-code) [i]
26Linear OA(3142, 440, F3, 40) (dual of [440, 298, 41]-code) [i]
27Linear OA(3143, 452, F3, 40) (dual of [452, 309, 41]-code) [i]
28Linear OA(3164, 801, F3, 40) (dual of [801, 637, 41]-code) [i]
29Linear OA(3168, 894, F3, 40) (dual of [894, 726, 41]-code) [i]
30Linear OA(3169, 919, F3, 40) (dual of [919, 750, 41]-code) [i]
31Linear OA(3174, 1055, F3, 40) (dual of [1055, 881, 41]-code) [i]
32Linear OA(3176, 1115, F3, 40) (dual of [1115, 939, 41]-code) [i]
33Linear OA(3202, 2298, F3, 40) (dual of [2298, 2096, 41]-code) [i]
34Linear OA(3205, 2499, F3, 40) (dual of [2499, 2294, 41]-code) [i]
35Linear OA(3206, 2570, F3, 40) (dual of [2570, 2364, 41]-code) [i]
36Linear OA(3207, 2643, F3, 40) (dual of [2643, 2436, 41]-code) [i]