Information on Result #604694
Linear OA(457, 58, F4, 57) (dual of [58, 1, 58]-code or 58-arc in PG(56,4)), using dual of repetition code with length 58
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(457, 58, F4, 56) (dual of [58, 1, 57]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(457, 58, F4, 55) (dual of [58, 1, 56]-code) | [i] | ||
| 3 | Linear OA(457, 58, F4, 54) (dual of [58, 1, 55]-code) | [i] | ||
| 4 | Linear OA(457, 58, F4, 53) (dual of [58, 1, 54]-code) | [i] | ||
| 5 | Linear OA(457, 58, F4, 52) (dual of [58, 1, 53]-code) | [i] | ||
| 6 | Linear OA(457, 58, F4, 51) (dual of [58, 1, 52]-code) | [i] | ||
| 7 | Linear OA(457, 58, F4, 50) (dual of [58, 1, 51]-code) | [i] | ||
| 8 | Linear OA(457, 58, F4, 49) (dual of [58, 1, 50]-code) | [i] | ||
| 9 | Linear OA(457, 58, F4, 48) (dual of [58, 1, 49]-code) | [i] | ||
| 10 | Linear OA(457, 58, F4, 47) (dual of [58, 1, 48]-code) | [i] | ||
| 11 | Linear OA(4112, 145, F4, 57) (dual of [145, 33, 58]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(4113, 148, F4, 57) (dual of [148, 35, 58]-code) | [i] | ||
| 13 | Linear OA(4114, 151, F4, 57) (dual of [151, 37, 58]-code) | [i] | ||
| 14 | Linear OA(4115, 154, F4, 57) (dual of [154, 39, 58]-code) | [i] | ||
| 15 | Linear OA(4116, 157, F4, 57) (dual of [157, 41, 58]-code) | [i] | ||
| 16 | Linear OA(4123, 181, F4, 57) (dual of [181, 58, 58]-code) | [i] | ||
| 17 | Linear OA(4124, 185, F4, 57) (dual of [185, 61, 58]-code) | [i] | ||
| 18 | Linear OA(4125, 189, F4, 57) (dual of [189, 64, 58]-code) | [i] | ||
| 19 | Linear OA(4126, 193, F4, 57) (dual of [193, 67, 58]-code) | [i] | ||
| 20 | Linear OA(4127, 197, F4, 57) (dual of [197, 70, 58]-code) | [i] | ||
| 21 | Linear OA(4128, 201, F4, 57) (dual of [201, 73, 58]-code) | [i] | ||
| 22 | Linear OA(4142, 272, F4, 57) (dual of [272, 130, 58]-code) | [i] | ||
| 23 | Linear OA(4147, 304, F4, 57) (dual of [304, 157, 58]-code) | [i] | ||
| 24 | Linear OA(4148, 311, F4, 57) (dual of [311, 163, 58]-code) | [i] | ||
| 25 | Linear OA(4149, 318, F4, 57) (dual of [318, 169, 58]-code) | [i] | ||
| 26 | Linear OA(4161, 418, F4, 57) (dual of [418, 257, 58]-code) | [i] | ||
| 27 | Linear OA(4176, 593, F4, 57) (dual of [593, 417, 58]-code) | [i] | ||
| 28 | Linear OA(4194, 910, F4, 57) (dual of [910, 716, 58]-code) | [i] | ||
| 29 | Linear OA(4195, 932, F4, 57) (dual of [932, 737, 58]-code) | [i] | ||
| 30 | Linear OA(4199, 1026, F4, 57) (dual of [1026, 827, 58]-code) | [i] | ||
| 31 | Linear OA(4200, 1051, F4, 57) (dual of [1051, 851, 58]-code) | [i] | ||
| 32 | Linear OA(4208, 1275, F4, 57) (dual of [1275, 1067, 58]-code) | [i] | ||
| 33 | Linear OA(4237, 2584, F4, 57) (dual of [2584, 2347, 58]-code) | [i] | ||
| 34 | Linear OA(4256, 4119, F4, 57) (dual of [4119, 3863, 58]-code) | [i] | ||