Information on Result #701129
Linear OA(416, 85, F4, 6) (dual of [85, 69, 7]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {5,7,9,13}, and minimum distance d ≥ |{38,52,66,…,23}|+1 = 7 (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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4215, 4194387, F4, 24) (dual of [4194387, 4194172, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(4257, 1048653, F4, 32) (dual of [1048653, 1048396, 33]-code) | [i] | ||
| 3 | Linear OA(4197, 1048653, F4, 24) (dual of [1048653, 1048456, 25]-code) | [i] | ||
| 4 | Linear OA(4233, 262215, F4, 32) (dual of [262215, 261982, 33]-code) | [i] | ||
| 5 | Linear OA(4179, 262215, F4, 24) (dual of [262215, 262036, 25]-code) | [i] | ||
| 6 | Linear OA(423, 92, F4, 8) (dual of [92, 69, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(424, 90, F4, 9) (dual of [90, 66, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(428, 94, F4, 10) (dual of [94, 66, 11]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(4259, 4194375, F4, 30) (dual of [4194375, 4194116, 31]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(4248, 4194375, F4, 29) (dual of [4194375, 4194127, 30]-code) | [i] | ||
| 11 | Linear OA(4226, 4194375, F4, 26) (dual of [4194375, 4194149, 27]-code) | [i] | ||
| 12 | Linear OA(4215, 4194375, F4, 25) (dual of [4194375, 4194160, 26]-code) | [i] | ||
| 13 | Linear OA(4248, 4194386, F4, 28) (dual of [4194386, 4194138, 29]-code) | [i] | ||
| 14 | Linear OA(4227, 1048652, F4, 28) (dual of [1048652, 1048425, 29]-code) | [i] | ||
| 15 | Linear OA(4260, 262214, F4, 36) (dual of [262214, 261954, 37]-code) | [i] | ||
| 16 | Linear OA(4206, 262214, F4, 28) (dual of [262214, 262008, 29]-code) | [i] | ||