Information on Result #700986
Linear OA(418, 63, F4, 8) (dual of [63, 45, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 9
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(424, 72, F4, 10) (dual of [72, 48, 11]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4259, 4156, F4, 54) (dual of [4156, 3897, 55]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 3 | Linear OA(4247, 4156, F4, 51) (dual of [4156, 3909, 52]-code) | [i] | ||
| 4 | Linear OA(4241, 4156, F4, 50) (dual of [4156, 3915, 51]-code) | [i] | ||
| 5 | Linear OA(4229, 4156, F4, 47) (dual of [4156, 3927, 48]-code) | [i] | ||
| 6 | Linear OA(4223, 4156, F4, 46) (dual of [4156, 3933, 47]-code) | [i] | ||
| 7 | Linear OA(4211, 4156, F4, 43) (dual of [4156, 3945, 44]-code) | [i] | ||
| 8 | Linear OA(4205, 4156, F4, 42) (dual of [4156, 3951, 43]-code) | [i] | ||
| 9 | Linear OA(4193, 4156, F4, 39) (dual of [4156, 3963, 40]-code) | [i] | ||
| 10 | Linear OA(4187, 4156, F4, 38) (dual of [4156, 3969, 39]-code) | [i] | ||
| 11 | Linear OA(4175, 4156, F4, 35) (dual of [4156, 3981, 36]-code) | [i] | ||
| 12 | Linear OA(4169, 4156, F4, 34) (dual of [4156, 3987, 35]-code) | [i] | ||
| 13 | Linear OA(4157, 4156, F4, 31) (dual of [4156, 3999, 32]-code) | [i] | ||
| 14 | Linear OA(4151, 4156, F4, 30) (dual of [4156, 4005, 31]-code) | [i] | ||
| 15 | Linear OA(4139, 4156, F4, 27) (dual of [4156, 4017, 28]-code) | [i] | ||
| 16 | Linear OA(4254, 1077, F4, 63) (dual of [1077, 823, 64]-code) | [i] | ||
| 17 | Linear OA(4249, 1077, F4, 62) (dual of [1077, 828, 63]-code) | [i] | ||
| 18 | Linear OA(4239, 1077, F4, 59) (dual of [1077, 838, 60]-code) | [i] | ||
| 19 | Linear OA(4234, 1077, F4, 58) (dual of [1077, 843, 59]-code) | [i] | ||
| 20 | Linear OA(4224, 1077, F4, 55) (dual of [1077, 853, 56]-code) | [i] | ||
| 21 | Linear OA(4219, 1077, F4, 54) (dual of [1077, 858, 55]-code) | [i] | ||
| 22 | Linear OA(4209, 1077, F4, 51) (dual of [1077, 868, 52]-code) | [i] | ||
| 23 | Linear OA(4204, 1077, F4, 50) (dual of [1077, 873, 51]-code) | [i] | ||
| 24 | Linear OA(4194, 1077, F4, 47) (dual of [1077, 883, 48]-code) | [i] | ||
| 25 | Linear OA(4189, 1077, F4, 46) (dual of [1077, 888, 47]-code) | [i] | ||
| 26 | Linear OA(4179, 1077, F4, 43) (dual of [1077, 898, 44]-code) | [i] | ||
| 27 | Linear OA(4174, 1077, F4, 42) (dual of [1077, 903, 43]-code) | [i] | ||
| 28 | Linear OA(4164, 1077, F4, 39) (dual of [1077, 913, 40]-code) | [i] | ||
| 29 | Linear OA(4159, 1077, F4, 38) (dual of [1077, 918, 39]-code) | [i] | ||
| 30 | Linear OA(4149, 1077, F4, 35) (dual of [1077, 928, 36]-code) | [i] | ||
| 31 | Linear OA(4144, 1077, F4, 34) (dual of [1077, 933, 35]-code) | [i] | ||
| 32 | Linear OA(4134, 1077, F4, 31) (dual of [1077, 943, 32]-code) | [i] | ||
| 33 | Linear OA(4129, 1077, F4, 30) (dual of [1077, 948, 31]-code) | [i] | ||
| 34 | Linear OA(4119, 1077, F4, 27) (dual of [1077, 958, 28]-code) | [i] | ||
| 35 | Linear OA(4114, 1077, F4, 26) (dual of [1077, 963, 27]-code) | [i] | ||