Information on Result #679167
Linear OA(4141, 16419, F4, 26) (dual of [16419, 16278, 27]-code), using construction X applied to Ce(25) ⊂ Ce(20) based on
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4142, 16420, F4, 26) (dual of [16420, 16278, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4143, 16421, F4, 26) (dual of [16421, 16278, 27]-code) | [i] | ||
| 3 | Linear OA(4144, 16422, F4, 26) (dual of [16422, 16278, 27]-code) | [i] | ||
| 4 | Linear OA(4145, 16423, F4, 26) (dual of [16423, 16278, 27]-code) | [i] | ||
| 5 | Linear OA(4146, 16424, F4, 26) (dual of [16424, 16278, 27]-code) | [i] | ||
| 6 | Linear OOA(4141, 10604, F4, 2, 26) (dual of [(10604, 2), 21067, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(4141, 10604, F4, 3, 26) (dual of [(10604, 3), 31671, 27]-NRT-code) | [i] | ||
| 8 | Digital (115, 141, 10604)-net over F4 | [i] | ||
| 9 | Linear OA(4144, 16423, F4, 26) (dual of [16423, 16279, 27]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(4145, 16425, F4, 26) (dual of [16425, 16280, 27]-code) | [i] | ||
| 11 | Linear OA(4146, 16427, F4, 26) (dual of [16427, 16281, 27]-code) | [i] | ||
| 12 | Linear OOA(4141, 8209, F4, 2, 26) (dual of [(8209, 2), 16277, 27]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(4141, 5473, F4, 3, 26) (dual of [(5473, 3), 16278, 27]-NRT-code) | [i] | ||
| 14 | Linear OOA(4141, 1263, F4, 26, 26) (dual of [(1263, 26), 32697, 27]-NRT-code) | [i] | OA Folding and Stacking | |