Information on Result #604660
Linear OA(423, 24, F4, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,4)), using dual of repetition code with length 24
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(423, 24, F4, 22) (dual of [24, 1, 23]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(423, 24, F4, 21) (dual of [24, 1, 22]-code) | [i] | ||
| 3 | Linear OA(423, 24, F4, 20) (dual of [24, 1, 21]-code) | [i] | ||
| 4 | Linear OA(4234, 4120, F4, 47) (dual of [4120, 3886, 48]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(4228, 4120, F4, 46) (dual of [4120, 3892, 47]-code) | [i] | ||
| 6 | Linear OA(455, 108, F4, 23) (dual of [108, 53, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(457, 121, F4, 23) (dual of [121, 64, 24]-code) | [i] | ||
| 8 | Linear OA(474, 331, F4, 23) (dual of [331, 257, 24]-code) | [i] | ||
| 9 | Linear OA(475, 352, F4, 23) (dual of [352, 277, 24]-code) | [i] | ||
| 10 | Linear OA(476, 374, F4, 23) (dual of [374, 298, 24]-code) | [i] | ||
| 11 | Linear OA(480, 478, F4, 23) (dual of [478, 398, 24]-code) | [i] | ||
| 12 | Linear OA(493, 1070, F4, 23) (dual of [1070, 977, 24]-code) | [i] | ||
| 13 | Linear OA(494, 1139, F4, 23) (dual of [1139, 1045, 24]-code) | [i] | ||
| 14 | Linear OA(4100, 1657, F4, 23) (dual of [1657, 1557, 24]-code) | [i] | ||
| 15 | Linear OA(4101, 1764, F4, 23) (dual of [1764, 1663, 24]-code) | [i] | ||
| 16 | Linear OA(4102, 1878, F4, 23) (dual of [1878, 1776, 24]-code) | [i] | ||
| 17 | Linear OA(4160, 281, F4, 49) (dual of [281, 121, 50]-code) | [i] | Construction X with Cyclic Codes | |
| 18 | Linear OA(4200, 4194329, F4, 23) (dual of [4194329, 4194129, 24]-code) | [i] | Construction X4 with Cyclic Codes | |
| 19 | Linear OA(4178, 4194329, F4, 21) (dual of [4194329, 4194151, 22]-code) | [i] | ||
| 20 | Linear OA(4156, 4194329, F4, 19) (dual of [4194329, 4194173, 20]-code) | [i] | ||
| 21 | Linear OA(490, 4194329, F4, 11) (dual of [4194329, 4194239, 12]-code) | [i] | ||
| 22 | Linear OA(4189, 4194328, F4, 23) (dual of [4194328, 4194139, 24]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 23 | Linear OA(4167, 4194328, F4, 20) (dual of [4194328, 4194161, 21]-code) | [i] | ||
| 24 | Linear OA(4134, 4194328, F4, 16) (dual of [4194328, 4194194, 17]-code) | [i] | ||
| 25 | Linear OA(4123, 4194328, F4, 15) (dual of [4194328, 4194205, 16]-code) | [i] | ||
| 26 | Linear OA(4101, 4194328, F4, 12) (dual of [4194328, 4194227, 13]-code) | [i] | ||
| 27 | Linear OA(468, 4194328, F4, 8) (dual of [4194328, 4194260, 9]-code) | [i] | ||
| 28 | Linear OA(457, 4194328, F4, 7) (dual of [4194328, 4194271, 8]-code) | [i] | ||