Information on Result #612654
Linear OA(422, 64, F4, 10) (dual of [64, 42, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(4239, 4161, F4, 48) (dual of [4161, 3922, 49]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(4203, 4161, F4, 40) (dual of [4161, 3958, 41]-code) | [i] | ||
| 3 | Linear OA(4253, 1089, F4, 60) (dual of [1089, 836, 61]-code) | [i] | ||
| 4 | Linear OA(4233, 1089, F4, 54) (dual of [1089, 856, 55]-code) | [i] | ||
| 5 | Linear OA(4223, 1089, F4, 52) (dual of [1089, 866, 53]-code) | [i] | ||
| 6 | Linear OA(4248, 1088, F4, 60) (dual of [1088, 840, 61]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(4233, 1088, F4, 56) (dual of [1088, 855, 57]-code) | [i] | ||
| 8 | Linear OA(4218, 1088, F4, 52) (dual of [1088, 870, 53]-code) | [i] | ||
| 9 | Linear OA(4203, 1088, F4, 48) (dual of [1088, 885, 49]-code) | [i] | ||
| 10 | Linear OA(4188, 1088, F4, 44) (dual of [1088, 900, 45]-code) | [i] | ||
| 11 | Linear OA(4173, 1088, F4, 40) (dual of [1088, 915, 41]-code) | [i] | ||
| 12 | Linear OA(4158, 1088, F4, 36) (dual of [1088, 930, 37]-code) | [i] | ||
| 13 | Linear OA(4143, 1088, F4, 32) (dual of [1088, 945, 33]-code) | [i] | ||
| 14 | Linear OA(425, 67, F4, 11) (dual of [67, 42, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(422, 67, F4, 10) (dual of [67, 45, 11]-code) | [i] | ✔ | |
| 16 | Linear OA(429, 71, F4, 12) (dual of [71, 42, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(431, 73, F4, 13) (dual of [73, 42, 14]-code) | [i] | ✔ | |
| 18 | Linear OA(425, 73, F4, 10) (dual of [73, 48, 11]-code) | [i] | ✔ | |
| 19 | Linear OA(430, 70, F4, 13) (dual of [70, 40, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(424, 70, F4, 10) (dual of [70, 46, 11]-code) | [i] | ✔ | |