Information on Result #701146
Linear OA(426, 85, F4, 10) (dual of [85, 59, 11]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {5,6,7,9,13,34,37}, and minimum distance d ≥ |{24,38,52,…,−20}|+1 = 11 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- BCH-Codes [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4237, 16467, F4, 40) (dual of [16467, 16230, 41]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(4243, 4171, F4, 48) (dual of [4171, 3928, 49]-code) | [i] | ||
| 3 | Linear OA(4207, 4171, F4, 40) (dual of [4171, 3964, 41]-code) | [i] | ||
| 4 | Linear OA(4257, 1101, F4, 60) (dual of [1101, 844, 61]-code) | [i] | ||
| 5 | Linear OA(4227, 1101, F4, 52) (dual of [1101, 874, 53]-code) | [i] | ||
| 6 | Linear OA(428, 94, F4, 10) (dual of [94, 66, 11]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(4251, 65621, F4, 38) (dual of [65621, 65370, 39]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(4243, 65621, F4, 37) (dual of [65621, 65378, 38]-code) | [i] | ||
| 9 | Linear OA(4258, 16466, F4, 45) (dual of [16466, 16208, 46]-code) | [i] | ||
| 10 | Linear OA(4244, 16466, F4, 42) (dual of [16466, 16222, 43]-code) | [i] | ||
| 11 | Linear OA(4237, 16466, F4, 41) (dual of [16466, 16229, 42]-code) | [i] | ||
| 12 | Linear OA(4223, 16466, F4, 38) (dual of [16466, 16243, 39]-code) | [i] | ||
| 13 | Linear OA(4216, 16466, F4, 37) (dual of [16466, 16250, 38]-code) | [i] | ||
| 14 | Linear OA(4258, 16469, F4, 44) (dual of [16469, 16211, 45]-code) | [i] | ||
| 15 | Linear OA(4237, 16469, F4, 40) (dual of [16469, 16232, 41]-code) | [i] | ||
| 16 | Linear OA(4249, 4170, F4, 50) (dual of [4170, 3921, 51]-code) | [i] | ||
| 17 | Linear OA(4243, 4170, F4, 49) (dual of [4170, 3927, 50]-code) | [i] | ||
| 18 | Linear OA(4231, 4170, F4, 46) (dual of [4170, 3939, 47]-code) | [i] | ||
| 19 | Linear OA(4225, 4170, F4, 45) (dual of [4170, 3945, 46]-code) | [i] | ||
| 20 | Linear OA(4213, 4170, F4, 42) (dual of [4170, 3957, 43]-code) | [i] | ||
| 21 | Linear OA(4207, 4170, F4, 41) (dual of [4170, 3963, 42]-code) | [i] | ||
| 22 | Linear OA(4195, 4170, F4, 38) (dual of [4170, 3975, 39]-code) | [i] | ||
| 23 | Linear OA(4243, 4176, F4, 48) (dual of [4176, 3933, 49]-code) | [i] | ||
| 24 | Linear OA(4225, 4176, F4, 44) (dual of [4176, 3951, 45]-code) | [i] | ||
| 25 | Linear OA(4207, 4176, F4, 40) (dual of [4176, 3969, 41]-code) | [i] | ||
| 26 | Linear OA(4252, 1095, F4, 60) (dual of [1095, 843, 61]-code) | [i] | ||
| 27 | Linear OA(4237, 1095, F4, 56) (dual of [1095, 858, 57]-code) | [i] | ||
| 28 | Linear OA(4222, 1095, F4, 52) (dual of [1095, 873, 53]-code) | [i] | ||
| 29 | Linear OA(4207, 1095, F4, 48) (dual of [1095, 888, 49]-code) | [i] | ||
| 30 | Linear OA(4177, 1095, F4, 40) (dual of [1095, 918, 41]-code) | [i] | ||