Information on Result #604687
Linear OA(450, 51, F4, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,4)), using dual of repetition code with length 51
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(450, 51, F4, 49) (dual of [51, 1, 50]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(450, 51, F4, 48) (dual of [51, 1, 49]-code) | [i] | ||
| 3 | Linear OA(450, 51, F4, 47) (dual of [51, 1, 48]-code) | [i] | ||
| 4 | Linear OA(450, 51, F4, 46) (dual of [51, 1, 47]-code) | [i] | ||
| 5 | Linear OA(450, 51, F4, 45) (dual of [51, 1, 46]-code) | [i] | ||
| 6 | Linear OA(450, 51, F4, 44) (dual of [51, 1, 45]-code) | [i] | ||
| 7 | Linear OA(450, 51, F4, 43) (dual of [51, 1, 44]-code) | [i] | ||
| 8 | Linear OA(450, 51, F4, 42) (dual of [51, 1, 43]-code) | [i] | ||
| 9 | Linear OA(450, 51, F4, 41) (dual of [51, 1, 42]-code) | [i] | ||
| 10 | Linear OA(496, 122, F4, 50) (dual of [122, 26, 51]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(4107, 157, F4, 50) (dual of [157, 50, 51]-code) | [i] | ||
| 12 | Linear OA(4116, 195, F4, 50) (dual of [195, 79, 51]-code) | [i] | ||
| 13 | Linear OA(4117, 200, F4, 50) (dual of [200, 83, 51]-code) | [i] | ||
| 14 | Linear OA(4118, 205, F4, 50) (dual of [205, 87, 51]-code) | [i] | ||
| 15 | Linear OA(4119, 210, F4, 50) (dual of [210, 91, 51]-code) | [i] | ||
| 16 | Linear OA(4123, 232, F4, 50) (dual of [232, 109, 51]-code) | [i] | ||
| 17 | Linear OA(4124, 238, F4, 50) (dual of [238, 114, 51]-code) | [i] | ||
| 18 | Linear OA(4125, 244, F4, 50) (dual of [244, 119, 51]-code) | [i] | ||
| 19 | Linear OA(4141, 369, F4, 50) (dual of [369, 228, 51]-code) | [i] | ||
| 20 | Linear OA(4142, 379, F4, 50) (dual of [379, 237, 51]-code) | [i] | ||
| 21 | Linear OA(4154, 522, F4, 50) (dual of [522, 368, 51]-code) | [i] | ||
| 22 | Linear OA(4156, 551, F4, 50) (dual of [551, 395, 51]-code) | [i] | ||
| 23 | Linear OA(4157, 566, F4, 50) (dual of [566, 409, 51]-code) | [i] | ||
| 24 | Linear OA(4163, 666, F4, 50) (dual of [666, 503, 51]-code) | [i] | ||
| 25 | Linear OA(4174, 900, F4, 50) (dual of [900, 726, 51]-code) | [i] | ||
| 26 | Linear OA(4176, 951, F4, 50) (dual of [951, 775, 51]-code) | [i] | ||
| 27 | Linear OA(4179, 1033, F4, 50) (dual of [1033, 854, 51]-code) | [i] | ||
| 28 | Linear OA(4180, 1062, F4, 50) (dual of [1062, 882, 51]-code) | [i] | ||
| 29 | Linear OA(4193, 1523, F4, 50) (dual of [1523, 1330, 51]-code) | [i] | ||
| 30 | Linear OA(4194, 1566, F4, 50) (dual of [1566, 1372, 51]-code) | [i] | ||
| 31 | Linear OA(4206, 2189, F4, 50) (dual of [2189, 1983, 51]-code) | [i] | ||
| 32 | Linear OA(4208, 2315, F4, 50) (dual of [2315, 2107, 51]-code) | [i] | ||
| 33 | Linear OA(4213, 2663, F4, 50) (dual of [2663, 2450, 51]-code) | [i] | ||
| 34 | Linear OA(4217, 2979, F4, 50) (dual of [2979, 2762, 51]-code) | [i] | ||
| 35 | Linear OA(4218, 3064, F4, 50) (dual of [3064, 2846, 51]-code) | [i] | ||
| 36 | Linear OA(4219, 3151, F4, 50) (dual of [3151, 2932, 51]-code) | [i] | ||
| 37 | Linear OA(4221, 3333, F4, 50) (dual of [3333, 3112, 51]-code) | [i] | ||
| 38 | Linear OA(4222, 3428, F4, 50) (dual of [3428, 3206, 51]-code) | [i] | ||