Information on Result #604689
Linear OA(452, 53, F4, 52) (dual of [53, 1, 53]-code or 53-arc in PG(51,4)), using dual of repetition code with length 53
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(452, 53, F4, 51) (dual of [53, 1, 52]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(452, 53, F4, 50) (dual of [53, 1, 51]-code) | [i] | ||
| 3 | Linear OA(452, 53, F4, 49) (dual of [53, 1, 50]-code) | [i] | ||
| 4 | Linear OA(452, 53, F4, 48) (dual of [53, 1, 49]-code) | [i] | ||
| 5 | Linear OA(452, 53, F4, 47) (dual of [53, 1, 48]-code) | [i] | ||
| 6 | Linear OA(452, 53, F4, 46) (dual of [53, 1, 47]-code) | [i] | ||
| 7 | Linear OA(452, 53, F4, 45) (dual of [53, 1, 46]-code) | [i] | ||
| 8 | Linear OA(452, 53, F4, 44) (dual of [53, 1, 45]-code) | [i] | ||
| 9 | Linear OA(452, 53, F4, 43) (dual of [53, 1, 44]-code) | [i] | ||
| 10 | Linear OA(4100, 127, F4, 52) (dual of [127, 27, 53]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(4110, 158, F4, 52) (dual of [158, 48, 53]-code) | [i] | ||
| 12 | Linear OA(4120, 199, F4, 52) (dual of [199, 79, 53]-code) | [i] | ||
| 13 | Linear OA(4128, 241, F4, 52) (dual of [241, 113, 53]-code) | [i] | ||
| 14 | Linear OA(4129, 247, F4, 52) (dual of [247, 118, 53]-code) | [i] | ||
| 15 | Linear OA(4130, 253, F4, 52) (dual of [253, 123, 53]-code) | [i] | ||
| 16 | Linear OA(4131, 259, F4, 52) (dual of [259, 128, 53]-code) | [i] | ||
| 17 | Linear OA(4133, 272, F4, 52) (dual of [272, 139, 53]-code) | [i] | ||
| 18 | Linear OA(4134, 279, F4, 52) (dual of [279, 145, 53]-code) | [i] | ||
| 19 | Linear OA(4135, 286, F4, 52) (dual of [286, 151, 53]-code) | [i] | ||
| 20 | Linear OA(4136, 293, F4, 52) (dual of [293, 157, 53]-code) | [i] | ||
| 21 | Linear OA(4165, 613, F4, 52) (dual of [613, 448, 53]-code) | [i] | ||
| 22 | Linear OA(4166, 629, F4, 52) (dual of [629, 463, 53]-code) | [i] | ||
| 23 | Linear OA(4196, 1389, F4, 52) (dual of [1389, 1193, 53]-code) | [i] | ||
| 24 | Linear OA(4204, 1720, F4, 52) (dual of [1720, 1516, 53]-code) | [i] | ||
| 25 | Linear OA(4207, 1864, F4, 52) (dual of [1864, 1657, 53]-code) | [i] | ||
| 26 | Linear OA(4238, 4295, F4, 52) (dual of [4295, 4057, 53]-code) | [i] | ||