Information on Result #604429
Linear OA(343, 44, F3, 43) (dual of [44, 1, 44]-code or 44-arc in PG(42,3)), using dual of repetition code with length 44
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(343, 44, F3, 42) (dual of [44, 1, 43]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(343, 44, F3, 41) (dual of [44, 1, 42]-code) | [i] | ||
| 3 | Linear OA(343, 44, F3, 40) (dual of [44, 1, 41]-code) | [i] | ||
| 4 | Linear OA(343, 44, F3, 39) (dual of [44, 1, 40]-code) | [i] | ||
| 5 | Linear OA(343, 44, F3, 38) (dual of [44, 1, 39]-code) | [i] | ||
| 6 | Linear OA(343, 44, F3, 37) (dual of [44, 1, 38]-code) | [i] | ||
| 7 | Linear OA(343, 44, F3, 36) (dual of [44, 1, 37]-code) | [i] | ||
| 8 | Linear OA(343, 44, F3, 35) (dual of [44, 1, 36]-code) | [i] | ||
| 9 | Linear OA(343, 44, F3, 34) (dual of [44, 1, 35]-code) | [i] | ||
| 10 | Linear OA(343, 44, F3, 33) (dual of [44, 1, 34]-code) | [i] | ||
| 11 | Linear OA(397, 126, F3, 43) (dual of [126, 29, 44]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(398, 129, F3, 43) (dual of [129, 31, 44]-code) | [i] | ||
| 13 | Linear OA(3111, 172, F3, 43) (dual of [172, 61, 44]-code) | [i] | ||
| 14 | Linear OA(3112, 176, F3, 43) (dual of [176, 64, 44]-code) | [i] | ||
| 15 | Linear OA(3116, 193, F3, 43) (dual of [193, 77, 44]-code) | [i] | ||
| 16 | Linear OA(3119, 207, F3, 43) (dual of [207, 88, 44]-code) | [i] | ||
| 17 | Linear OA(3120, 212, F3, 43) (dual of [212, 92, 44]-code) | [i] | ||
| 18 | Linear OA(3121, 217, F3, 43) (dual of [217, 96, 44]-code) | [i] | ||
| 19 | Linear OA(3124, 233, F3, 43) (dual of [233, 109, 44]-code) | [i] | ||
| 20 | Linear OA(3133, 289, F3, 43) (dual of [289, 156, 44]-code) | [i] | ||
| 21 | Linear OA(3136, 311, F3, 43) (dual of [311, 175, 44]-code) | [i] | ||
| 22 | Linear OA(3142, 360, F3, 43) (dual of [360, 218, 44]-code) | [i] | ||
| 23 | Linear OA(3143, 369, F3, 43) (dual of [369, 226, 44]-code) | [i] | ||
| 24 | Linear OA(3149, 428, F3, 43) (dual of [428, 279, 44]-code) | [i] | ||
| 25 | Linear OA(3150, 439, F3, 43) (dual of [439, 289, 44]-code) | [i] | ||
| 26 | Linear OA(3151, 450, F3, 43) (dual of [450, 299, 44]-code) | [i] | ||
| 27 | Linear OA(3153, 473, F3, 43) (dual of [473, 320, 44]-code) | [i] | ||
| 28 | Linear OA(3154, 485, F3, 43) (dual of [485, 331, 44]-code) | [i] | ||
| 29 | Linear OA(3156, 510, F3, 43) (dual of [510, 354, 44]-code) | [i] | ||
| 30 | Linear OA(3157, 523, F3, 43) (dual of [523, 366, 44]-code) | [i] | ||
| 31 | Linear OA(3158, 536, F3, 43) (dual of [536, 378, 44]-code) | [i] | ||
| 32 | Linear OA(3161, 578, F3, 43) (dual of [578, 417, 44]-code) | [i] | ||
| 33 | Linear OA(3162, 593, F3, 43) (dual of [593, 431, 44]-code) | [i] | ||
| 34 | Linear OA(3163, 608, F3, 43) (dual of [608, 445, 44]-code) | [i] | ||
| 35 | Linear OA(3186, 1092, F3, 43) (dual of [1092, 906, 44]-code) | [i] | ||
| 36 | Linear OA(3192, 1274, F3, 43) (dual of [1274, 1082, 44]-code) | [i] | ||
| 37 | Linear OA(3219, 2560, F3, 43) (dual of [2560, 2341, 44]-code) | [i] | ||