Information on Result #701122
Linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {1,3,7,10,34}, and minimum distance d ≥ |{4,10,16,…,40}|+1 = 8 (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(419, 93, F4, 7) (dual of [93, 74, 8]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(420, 108, F4, 7) (dual of [108, 88, 8]-code) | [i] | ||
| 3 | Linear OA(4239, 4194389, F4, 27) (dual of [4194389, 4194150, 28]-code) | [i] | Construction X with Cyclic Codes | |
| 4 | Linear OA(4259, 1048655, F4, 33) (dual of [1048655, 1048396, 34]-code) | [i] | ||
| 5 | Linear OA(4219, 1048655, F4, 27) (dual of [1048655, 1048436, 28]-code) | [i] | ||
| 6 | Linear OA(4253, 262217, F4, 35) (dual of [262217, 261964, 36]-code) | [i] | ||
| 7 | Linear OA(4235, 262217, F4, 33) (dual of [262217, 261982, 34]-code) | [i] | ||
| 8 | Linear OA(4199, 262217, F4, 27) (dual of [262217, 262018, 28]-code) | [i] | ||
| 9 | Linear OA(419, 88, F4, 7) (dual of [88, 69, 8]-code) | [i] | ✔ | |
| 10 | Linear OA(4250, 4194388, F4, 29) (dual of [4194388, 4194138, 30]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 11 | Linear OA(4228, 4194388, F4, 26) (dual of [4194388, 4194160, 27]-code) | [i] | ||
| 12 | Linear OA(4249, 1048654, F4, 31) (dual of [1048654, 1048405, 32]-code) | [i] | ||
| 13 | Linear OA(4239, 1048654, F4, 30) (dual of [1048654, 1048415, 31]-code) | [i] | ||
| 14 | Linear OA(4229, 1048654, F4, 29) (dual of [1048654, 1048425, 30]-code) | [i] | ||
| 15 | Linear OA(4209, 1048654, F4, 26) (dual of [1048654, 1048445, 27]-code) | [i] | ||
| 16 | Linear OA(4244, 262216, F4, 34) (dual of [262216, 261972, 35]-code) | [i] | ||
| 17 | Linear OA(4226, 262216, F4, 31) (dual of [262216, 261990, 32]-code) | [i] | ||
| 18 | Linear OA(4217, 262216, F4, 30) (dual of [262216, 261999, 31]-code) | [i] | ||
| 19 | Linear OA(4208, 262216, F4, 29) (dual of [262216, 262008, 30]-code) | [i] | ||
| 20 | Linear OA(4190, 262216, F4, 26) (dual of [262216, 262026, 27]-code) | [i] | ||
| 21 | Linear OOA(418, 42, F4, 2, 7) (dual of [(42, 2), 66, 8]-NRT-code) | [i] | OOA Folding | |