Information on Result #604427
Linear OA(341, 42, F3, 41) (dual of [42, 1, 42]-code or 42-arc in PG(40,3)), using dual of repetition code with length 42
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(341, 42, F3, 40) (dual of [42, 1, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(341, 42, F3, 39) (dual of [42, 1, 40]-code) | [i] | ||
| 3 | Linear OA(341, 42, F3, 38) (dual of [42, 1, 39]-code) | [i] | ||
| 4 | Linear OA(341, 42, F3, 37) (dual of [42, 1, 38]-code) | [i] | ||
| 5 | Linear OA(341, 42, F3, 36) (dual of [42, 1, 37]-code) | [i] | ||
| 6 | Linear OA(341, 42, F3, 35) (dual of [42, 1, 36]-code) | [i] | ||
| 7 | Linear OA(341, 42, F3, 34) (dual of [42, 1, 35]-code) | [i] | ||
| 8 | Linear OA(341, 42, F3, 33) (dual of [42, 1, 34]-code) | [i] | ||
| 9 | Linear OA(341, 42, F3, 32) (dual of [42, 1, 33]-code) | [i] | ||
| 10 | Linear OA(393, 122, F3, 41) (dual of [122, 29, 42]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(394, 125, F3, 41) (dual of [125, 31, 42]-code) | [i] | ||
| 12 | Linear OA(3113, 196, F3, 41) (dual of [196, 83, 42]-code) | [i] | ||
| 13 | Linear OA(3114, 201, F3, 41) (dual of [201, 87, 42]-code) | [i] | ||
| 14 | Linear OA(3115, 206, F3, 41) (dual of [206, 91, 42]-code) | [i] | ||
| 15 | Linear OA(3116, 211, F3, 41) (dual of [211, 95, 42]-code) | [i] | ||
| 16 | Linear OA(3124, 258, F3, 41) (dual of [258, 134, 42]-code) | [i] | ||
| 17 | Linear OA(3134, 333, F3, 41) (dual of [333, 199, 42]-code) | [i] | ||
| 18 | Linear OA(3139, 379, F3, 41) (dual of [379, 240, 42]-code) | [i] | ||
| 19 | Linear OA(3140, 389, F3, 41) (dual of [389, 249, 42]-code) | [i] | ||
| 20 | Linear OA(3146, 455, F3, 41) (dual of [455, 309, 42]-code) | [i] | ||
| 21 | Linear OA(3147, 467, F3, 41) (dual of [467, 320, 42]-code) | [i] | ||
| 22 | Linear OA(3151, 519, F3, 41) (dual of [519, 368, 42]-code) | [i] | ||
| 23 | Linear OA(3152, 533, F3, 41) (dual of [533, 381, 42]-code) | [i] | ||
| 24 | Linear OA(3154, 562, F3, 41) (dual of [562, 408, 42]-code) | [i] | ||
| 25 | Linear OA(3155, 577, F3, 41) (dual of [577, 422, 42]-code) | [i] | ||
| 26 | Linear OA(3165, 753, F3, 41) (dual of [753, 588, 42]-code) | [i] | ||
| 27 | Linear OA(3171, 884, F3, 41) (dual of [884, 713, 42]-code) | [i] | ||
| 28 | Linear OA(3172, 908, F3, 41) (dual of [908, 736, 42]-code) | [i] | ||
| 29 | Linear OA(3173, 933, F3, 41) (dual of [933, 760, 42]-code) | [i] | ||
| 30 | Linear OA(3177, 1039, F3, 41) (dual of [1039, 862, 42]-code) | [i] | ||
| 31 | Linear OA(3181, 1157, F3, 41) (dual of [1157, 976, 42]-code) | [i] | ||
| 32 | Linear OA(3185, 1289, F3, 41) (dual of [1289, 1104, 42]-code) | [i] | ||
| 33 | Linear OA(3188, 1398, F3, 41) (dual of [1398, 1210, 42]-code) | [i] | ||
| 34 | Linear OA(3208, 2407, F3, 41) (dual of [2407, 2199, 42]-code) | [i] | ||