Information on Result #1323575
Linear OA(4205, 262213, F4, 29) (dual of [262213, 262008, 30]-code), using construction X applied to Ce(28) ⊂ Ce(20) 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(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(415, 69, F4, 7) (dual of [69, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
Mode: 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(4206, 262214, F4, 29) (dual of [262214, 262008, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4208, 262217, F4, 29) (dual of [262217, 262009, 30]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(4209, 262219, F4, 29) (dual of [262219, 262010, 30]-code) | [i] | ||
| 4 | Linear OA(4210, 262221, F4, 29) (dual of [262221, 262011, 30]-code) | [i] | ||
| 5 | Linear OOA(4205, 131106, F4, 2, 29) (dual of [(131106, 2), 262007, 30]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4205, 87404, F4, 3, 29) (dual of [(87404, 3), 262007, 30]-NRT-code) | [i] | ||