Information on Result #1323583
Linear OA(4254, 262226, F4, 35) (dual of [262226, 261972, 36]-code), using construction X applied to Ce(34) ⊂ Ce(25) based on
- linear OA(4235, 262144, F4, 35) (dual of [262144, 261909, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(419, 82, F4, 8) (dual of [82, 63, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 87, F4, 8) (dual of [87, 68, 9]-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(4255, 262227, F4, 35) (dual of [262227, 261972, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4254, 131113, F4, 2, 35) (dual of [(131113, 2), 261972, 36]-NRT-code) | [i] | OOA Folding | |