Information on Result #1323571
Linear OA(4223, 262213, F4, 31) (dual of [262213, 261990, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(4224, 262214, F4, 31) (dual of [262214, 261990, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4226, 262217, F4, 31) (dual of [262217, 261991, 32]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(4223, 131106, F4, 2, 31) (dual of [(131106, 2), 261989, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4223, 87404, F4, 3, 31) (dual of [(87404, 3), 261989, 32]-NRT-code) | [i] | ||