Information on Result #677896
Linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4210, 4194315, F4, 26) (dual of [4194315, 4194105, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4200, 4194316, F4, 25) (dual of [4194316, 4194116, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(4200, 4194327, F4, 24) (dual of [4194327, 4194127, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(4202, 4194325, F4, 25) (dual of [4194325, 4194123, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(4203, 4194330, F4, 25) (dual of [4194330, 4194127, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(4237, 4194342, F4, 29) (dual of [4194342, 4194105, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(4204, 4194342, F4, 25) (dual of [4194342, 4194138, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(4250, 4194347, F4, 30) (dual of [4194347, 4194097, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4251, 4194356, F4, 30) (dual of [4194356, 4194105, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(4212, 4194368, F4, 25) (dual of [4194368, 4194156, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(4215, 4194375, F4, 25) (dual of [4194375, 4194160, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(4209, 4194368, F4, 24) (dual of [4194368, 4194159, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(4211, 4194371, F4, 24) (dual of [4194371, 4194160, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(4212, 4194372, F4, 25) (dual of [4194372, 4194160, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(4210, 4194370, F4, 24) (dual of [4194370, 4194160, 25]-code) | [i] | ✔ | |
| 16 | Linear OOA(4199, 2097152, F4, 2, 25) (dual of [(2097152, 2), 4194105, 26]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(4199, 1398101, F4, 3, 25) (dual of [(1398101, 3), 4194104, 26]-NRT-code) | [i] | ||
| 18 | Linear OOA(4199, 349525, F4, 25, 25) (dual of [(349525, 25), 8737926, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |