Information on Result #604692
Linear OA(455, 56, F4, 55) (dual of [56, 1, 56]-code or 56-arc in PG(54,4)), using dual of repetition code with length 56
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(455, 56, F4, 54) (dual of [56, 1, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(455, 56, F4, 53) (dual of [56, 1, 54]-code) | [i] | ||
| 3 | Linear OA(455, 56, F4, 52) (dual of [56, 1, 53]-code) | [i] | ||
| 4 | Linear OA(455, 56, F4, 51) (dual of [56, 1, 52]-code) | [i] | ||
| 5 | Linear OA(455, 56, F4, 50) (dual of [56, 1, 51]-code) | [i] | ||
| 6 | Linear OA(455, 56, F4, 49) (dual of [56, 1, 50]-code) | [i] | ||
| 7 | Linear OA(455, 56, F4, 48) (dual of [56, 1, 49]-code) | [i] | ||
| 8 | Linear OA(455, 56, F4, 47) (dual of [56, 1, 48]-code) | [i] | ||
| 9 | Linear OA(455, 56, F4, 46) (dual of [56, 1, 47]-code) | [i] | ||
| 10 | Linear OA(455, 56, F4, 45) (dual of [56, 1, 46]-code) | [i] | ||
| 11 | Linear OA(4108, 140, F4, 55) (dual of [140, 32, 56]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(4109, 143, F4, 55) (dual of [143, 34, 56]-code) | [i] | ||
| 13 | Linear OA(4110, 146, F4, 55) (dual of [146, 36, 56]-code) | [i] | ||
| 14 | Linear OA(4111, 149, F4, 55) (dual of [149, 38, 56]-code) | [i] | ||
| 15 | Linear OA(4112, 152, F4, 55) (dual of [152, 40, 56]-code) | [i] | ||
| 16 | Linear OA(4117, 169, F4, 55) (dual of [169, 52, 56]-code) | [i] | ||
| 17 | Linear OA(4121, 184, F4, 55) (dual of [184, 63, 56]-code) | [i] | ||
| 18 | Linear OA(4127, 210, F4, 55) (dual of [210, 83, 56]-code) | [i] | ||
| 19 | Linear OA(4140, 282, F4, 55) (dual of [282, 142, 56]-code) | [i] | ||
| 20 | Linear OA(4147, 332, F4, 55) (dual of [332, 185, 56]-code) | [i] | ||
| 21 | Linear OA(4148, 340, F4, 55) (dual of [340, 192, 56]-code) | [i] | ||
| 22 | Linear OA(4149, 348, F4, 55) (dual of [348, 199, 56]-code) | [i] | ||
| 23 | Linear OA(4156, 411, F4, 55) (dual of [411, 255, 56]-code) | [i] | ||
| 24 | Linear OA(4157, 421, F4, 55) (dual of [421, 264, 56]-code) | [i] | ||
| 25 | Linear OA(4167, 536, F4, 55) (dual of [536, 369, 56]-code) | [i] | ||
| 26 | Linear OA(4171, 591, F4, 55) (dual of [591, 420, 56]-code) | [i] | ||
| 27 | Linear OA(4175, 652, F4, 55) (dual of [652, 477, 56]-code) | [i] | ||
| 28 | Linear OA(4189, 922, F4, 55) (dual of [922, 733, 56]-code) | [i] | ||
| 29 | Linear OA(4195, 1071, F4, 55) (dual of [1071, 876, 56]-code) | [i] | ||
| 30 | Linear OA(4196, 1098, F4, 55) (dual of [1098, 902, 56]-code) | [i] | ||
| 31 | Linear OA(4197, 1126, F4, 55) (dual of [1126, 929, 56]-code) | [i] | ||
| 32 | Linear OA(4211, 1601, F4, 55) (dual of [1601, 1390, 56]-code) | [i] | ||
| 33 | Linear OA(4212, 1642, F4, 55) (dual of [1642, 1430, 56]-code) | [i] | ||
| 34 | Linear OA(4213, 1684, F4, 55) (dual of [1684, 1471, 56]-code) | [i] | ||
| 35 | Linear OA(4214, 1727, F4, 55) (dual of [1727, 1513, 56]-code) | [i] | ||
| 36 | Linear OA(4217, 1863, F4, 55) (dual of [1863, 1646, 56]-code) | [i] | ||
| 37 | Linear OA(4220, 2010, F4, 55) (dual of [2010, 1790, 56]-code) | [i] | ||
| 38 | Linear OA(4228, 2462, F4, 55) (dual of [2462, 2234, 56]-code) | [i] | ||
| 39 | Linear OA(4231, 2657, F4, 55) (dual of [2657, 2426, 56]-code) | [i] | ||
| 40 | Linear OA(4237, 3095, F4, 55) (dual of [3095, 2858, 56]-code) | [i] | ||
| 41 | Linear OA(4242, 3515, F4, 55) (dual of [3515, 3273, 56]-code) | [i] | ||
| 42 | Linear OA(4253, 4653, F4, 55) (dual of [4653, 4400, 56]-code) | [i] | ||