Information on Result #1323584
Linear OA(4245, 262226, F4, 34) (dual of [262226, 261981, 35]-code), using construction X applied to Ce(33) ⊂ Ce(24) based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(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(4246, 262227, F4, 34) (dual of [262227, 261981, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4248, 262230, F4, 34) (dual of [262230, 261982, 35]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(4249, 262232, F4, 34) (dual of [262232, 261983, 35]-code) | [i] | ||
| 4 | Linear OA(4250, 262234, F4, 34) (dual of [262234, 261984, 35]-code) | [i] | ||
| 5 | Linear OOA(4245, 131113, F4, 2, 34) (dual of [(131113, 2), 261981, 35]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4245, 87408, F4, 3, 34) (dual of [(87408, 3), 261979, 35]-NRT-code) | [i] | ||