Information on Result #604677
Linear OA(440, 41, F4, 40) (dual of [41, 1, 41]-code or 41-arc in PG(39,4)), using dual of repetition code with length 41
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(440, 41, F4, 39) (dual of [41, 1, 40]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(440, 41, F4, 38) (dual of [41, 1, 39]-code) | [i] | ||
| 3 | Linear OA(440, 41, F4, 37) (dual of [41, 1, 38]-code) | [i] | ||
| 4 | Linear OA(440, 41, F4, 36) (dual of [41, 1, 37]-code) | [i] | ||
| 5 | Linear OA(440, 41, F4, 35) (dual of [41, 1, 36]-code) | [i] | ||
| 6 | Linear OA(440, 41, F4, 34) (dual of [41, 1, 35]-code) | [i] | ||
| 7 | Linear OA(440, 41, F4, 33) (dual of [41, 1, 34]-code) | [i] | ||
| 8 | Linear OA(484, 122, F4, 40) (dual of [122, 38, 41]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(490, 146, F4, 40) (dual of [146, 56, 41]-code) | [i] | ||
| 10 | Linear OA(4101, 206, F4, 40) (dual of [206, 105, 41]-code) | [i] | ||
| 11 | Linear OA(4110, 276, F4, 40) (dual of [276, 166, 41]-code) | [i] | ||
| 12 | Linear OA(4112, 295, F4, 40) (dual of [295, 183, 41]-code) | [i] | ||
| 13 | Linear OA(4113, 305, F4, 40) (dual of [305, 192, 41]-code) | [i] | ||
| 14 | Linear OA(4115, 326, F4, 40) (dual of [326, 211, 41]-code) | [i] | ||
| 15 | Linear OA(4116, 337, F4, 40) (dual of [337, 221, 41]-code) | [i] | ||
| 16 | Linear OA(4129, 523, F4, 40) (dual of [523, 394, 41]-code) | [i] | ||
| 17 | Linear OA(4162, 1646, F4, 40) (dual of [1646, 1484, 41]-code) | [i] | ||
| 18 | Linear OA(4163, 1705, F4, 40) (dual of [1705, 1542, 41]-code) | [i] | ||
| 19 | Linear OA(4164, 1766, F4, 40) (dual of [1766, 1602, 41]-code) | [i] | ||
| 20 | Linear OA(4165, 1829, F4, 40) (dual of [1829, 1664, 41]-code) | [i] | ||
| 21 | Linear OA(4171, 2259, F4, 40) (dual of [2259, 2088, 41]-code) | [i] | ||
| 22 | Linear OA(4172, 2340, F4, 40) (dual of [2340, 2168, 41]-code) | [i] | ||
| 23 | Linear OA(4173, 2424, F4, 40) (dual of [2424, 2251, 41]-code) | [i] | ||
| 24 | Linear OA(4174, 2511, F4, 40) (dual of [2511, 2337, 41]-code) | [i] | ||
| 25 | Linear OA(4257, 298, F4, 83) (dual of [298, 41, 84]-code) | [i] | Construction X with Cyclic Codes | |