Information on Result #678420
Linear OA(4195, 262176, F4, 29) (dual of [262176, 261981, 30]-code), using construction X applied to Ce(28) ⊂ Ce(24) based on
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(4195, 262176, F4, 28) (dual of [262176, 261981, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4196, 262177, F4, 29) (dual of [262177, 261981, 30]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4197, 262178, F4, 29) (dual of [262178, 261981, 30]-code) | [i] | ||
| 4 | Linear OA(4198, 262179, F4, 29) (dual of [262179, 261981, 30]-code) | [i] | ||
| 5 | Linear OA(4199, 262180, F4, 29) (dual of [262180, 261981, 30]-code) | [i] | ||
| 6 | Linear OA(4194, 262175, F4, 28) (dual of [262175, 261981, 29]-code) | [i] | Truncation | |
| 7 | Linear OOA(4195, 131088, F4, 2, 29) (dual of [(131088, 2), 261981, 30]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4195, 87392, F4, 3, 29) (dual of [(87392, 3), 261981, 30]-NRT-code) | [i] | ||