Information on Result #604693
Linear OA(456, 57, F4, 56) (dual of [57, 1, 57]-code or 57-arc in PG(55,4)), using dual of repetition code with length 57
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(456, 57, F4, 55) (dual of [57, 1, 56]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(456, 57, F4, 54) (dual of [57, 1, 55]-code) | [i] | ||
| 3 | Linear OA(456, 57, F4, 53) (dual of [57, 1, 54]-code) | [i] | ||
| 4 | Linear OA(456, 57, F4, 52) (dual of [57, 1, 53]-code) | [i] | ||
| 5 | Linear OA(456, 57, F4, 51) (dual of [57, 1, 52]-code) | [i] | ||
| 6 | Linear OA(456, 57, F4, 50) (dual of [57, 1, 51]-code) | [i] | ||
| 7 | Linear OA(456, 57, F4, 49) (dual of [57, 1, 50]-code) | [i] | ||
| 8 | Linear OA(456, 57, F4, 48) (dual of [57, 1, 49]-code) | [i] | ||
| 9 | Linear OA(456, 57, F4, 47) (dual of [57, 1, 48]-code) | [i] | ||
| 10 | Linear OA(456, 57, F4, 46) (dual of [57, 1, 47]-code) | [i] | ||
| 11 | Linear OA(4108, 137, F4, 56) (dual of [137, 29, 57]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(4120, 175, F4, 56) (dual of [175, 55, 57]-code) | [i] | ||
| 13 | Linear OA(4127, 203, F4, 56) (dual of [203, 76, 57]-code) | [i] | ||
| 14 | Linear OA(4129, 212, F4, 56) (dual of [212, 83, 57]-code) | [i] | ||
| 15 | Linear OA(4135, 242, F4, 56) (dual of [242, 107, 57]-code) | [i] | ||
| 16 | Linear OA(4137, 253, F4, 56) (dual of [253, 116, 57]-code) | [i] | ||
| 17 | Linear OA(4150, 340, F4, 56) (dual of [340, 190, 57]-code) | [i] | ||
| 18 | Linear OA(4151, 348, F4, 56) (dual of [348, 197, 57]-code) | [i] | ||
| 19 | Linear OA(4154, 373, F4, 56) (dual of [373, 219, 57]-code) | [i] | ||
| 20 | Linear OA(4155, 382, F4, 56) (dual of [382, 227, 57]-code) | [i] | ||
| 21 | Linear OA(4156, 391, F4, 56) (dual of [391, 235, 57]-code) | [i] | ||
| 22 | Linear OA(4162, 450, F4, 56) (dual of [450, 288, 57]-code) | [i] | ||
| 23 | Linear OA(4163, 461, F4, 56) (dual of [461, 298, 57]-code) | [i] | ||
| 24 | Linear OA(4164, 472, F4, 56) (dual of [472, 308, 57]-code) | [i] | ||
| 25 | Linear OA(4172, 571, F4, 56) (dual of [571, 399, 57]-code) | [i] | ||
| 26 | Linear OA(4173, 585, F4, 56) (dual of [585, 412, 57]-code) | [i] | ||
| 27 | Linear OA(4174, 599, F4, 56) (dual of [599, 425, 57]-code) | [i] | ||
| 28 | Linear OA(4207, 1340, F4, 56) (dual of [1340, 1133, 57]-code) | [i] | ||
| 29 | Linear OA(4210, 1443, F4, 56) (dual of [1443, 1233, 57]-code) | [i] | ||
| 30 | Linear OA(4215, 1633, F4, 56) (dual of [1633, 1418, 57]-code) | [i] | ||
| 31 | Linear OA(4216, 1674, F4, 56) (dual of [1674, 1458, 57]-code) | [i] | ||
| 32 | Linear OA(4217, 1716, F4, 56) (dual of [1716, 1499, 57]-code) | [i] | ||
| 33 | Linear OA(4226, 2146, F4, 56) (dual of [2146, 1920, 57]-code) | [i] | ||
| 34 | Linear OA(4227, 2200, F4, 56) (dual of [2200, 1973, 57]-code) | [i] | ||
| 35 | Linear OA(4238, 2894, F4, 56) (dual of [2894, 2656, 57]-code) | [i] | ||
| 36 | Linear OA(4243, 3279, F4, 56) (dual of [3279, 3036, 57]-code) | [i] | ||
| 37 | Linear OA(4244, 3362, F4, 56) (dual of [3362, 3118, 57]-code) | [i] | ||