Information on Result #604695
Linear OA(458, 59, F4, 58) (dual of [59, 1, 59]-code or 59-arc in PG(57,4)), using dual of repetition code with length 59
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(458, 59, F4, 57) (dual of [59, 1, 58]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(458, 59, F4, 56) (dual of [59, 1, 57]-code) | [i] | ||
| 3 | Linear OA(458, 59, F4, 55) (dual of [59, 1, 56]-code) | [i] | ||
| 4 | Linear OA(458, 59, F4, 54) (dual of [59, 1, 55]-code) | [i] | ||
| 5 | Linear OA(458, 59, F4, 53) (dual of [59, 1, 54]-code) | [i] | ||
| 6 | Linear OA(458, 59, F4, 52) (dual of [59, 1, 53]-code) | [i] | ||
| 7 | Linear OA(458, 59, F4, 51) (dual of [59, 1, 52]-code) | [i] | ||
| 8 | Linear OA(458, 59, F4, 50) (dual of [59, 1, 51]-code) | [i] | ||
| 9 | Linear OA(458, 59, F4, 49) (dual of [59, 1, 50]-code) | [i] | ||
| 10 | Linear OA(458, 59, F4, 48) (dual of [59, 1, 49]-code) | [i] | ||
| 11 | Linear OA(4112, 142, F4, 58) (dual of [142, 30, 59]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(4127, 191, F4, 58) (dual of [191, 64, 59]-code) | [i] | ||
| 13 | Linear OA(4128, 195, F4, 58) (dual of [195, 67, 59]-code) | [i] | ||
| 14 | Linear OA(4129, 199, F4, 58) (dual of [199, 70, 59]-code) | [i] | ||
| 15 | Linear OA(4134, 221, F4, 58) (dual of [221, 87, 59]-code) | [i] | ||
| 16 | Linear OA(4142, 262, F4, 58) (dual of [262, 120, 59]-code) | [i] | ||
| 17 | Linear OA(4149, 305, F4, 58) (dual of [305, 156, 59]-code) | [i] | ||
| 18 | Linear OA(4150, 312, F4, 58) (dual of [312, 162, 59]-code) | [i] | ||
| 19 | Linear OA(4151, 319, F4, 58) (dual of [319, 168, 59]-code) | [i] | ||
| 20 | Linear OA(4152, 326, F4, 58) (dual of [326, 174, 59]-code) | [i] | ||
| 21 | Linear OA(4168, 467, F4, 58) (dual of [467, 299, 59]-code) | [i] | ||
| 22 | Linear OA(4171, 500, F4, 58) (dual of [500, 329, 59]-code) | [i] | ||
| 23 | Linear OA(4176, 561, F4, 58) (dual of [561, 385, 59]-code) | [i] | ||
| 24 | Linear OA(4177, 574, F4, 58) (dual of [574, 397, 59]-code) | [i] | ||
| 25 | Linear OA(4185, 691, F4, 58) (dual of [691, 506, 59]-code) | [i] | ||
| 26 | Linear OA(4187, 724, F4, 58) (dual of [724, 537, 59]-code) | [i] | ||
| 27 | Linear OA(4191, 795, F4, 58) (dual of [795, 604, 59]-code) | [i] | ||
| 28 | Linear OA(4192, 814, F4, 58) (dual of [814, 622, 59]-code) | [i] | ||
| 29 | Linear OA(4194, 853, F4, 58) (dual of [853, 659, 59]-code) | [i] | ||
| 30 | Linear OA(4201, 1006, F4, 58) (dual of [1006, 805, 59]-code) | [i] | ||
| 31 | Linear OA(4202, 1030, F4, 58) (dual of [1030, 828, 59]-code) | [i] | ||
| 32 | Linear OA(4210, 1245, F4, 58) (dual of [1245, 1035, 59]-code) | [i] | ||
| 33 | Linear OA(4211, 1275, F4, 58) (dual of [1275, 1064, 59]-code) | [i] | ||
| 34 | Linear OA(4213, 1337, F4, 58) (dual of [1337, 1124, 59]-code) | [i] | ||
| 35 | Linear OA(4216, 1436, F4, 58) (dual of [1436, 1220, 59]-code) | [i] | ||
| 36 | Linear OA(4221, 1618, F4, 58) (dual of [1618, 1397, 59]-code) | [i] | ||
| 37 | Linear OA(4234, 2209, F4, 58) (dual of [2209, 1975, 59]-code) | [i] | ||
| 38 | Linear OA(4237, 2374, F4, 58) (dual of [2374, 2137, 59]-code) | [i] | ||
| 39 | Linear OA(4250, 3246, F4, 58) (dual of [3246, 2996, 59]-code) | [i] | ||
| 40 | Linear OA(4255, 3662, F4, 58) (dual of [3662, 3407, 59]-code) | [i] | ||
| 41 | Linear OA(4258, 3937, F4, 58) (dual of [3937, 3679, 59]-code) | [i] | ||
| 42 | Linear OA(4260, 4132, F4, 58) (dual of [4132, 3872, 59]-code) | [i] | ||