Information on Result #678485
Linear OA(4244, 262216, F4, 34) (dual of [262216, 261972, 35]-code), using construction X applied to Ce(33) ⊂ Ce(25) 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(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(418, 72, F4, 7) (dual of [72, 54, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), 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 OOA(4244, 159068, F4, 2, 34) (dual of [(159068, 2), 317892, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4244, 159068, F4, 3, 34) (dual of [(159068, 3), 476960, 35]-NRT-code) | [i] | ||
| 3 | Digital (210, 244, 159068)-net over F4 | [i] | ||
| 4 | Linear OOA(4244, 131108, F4, 2, 34) (dual of [(131108, 2), 261972, 35]-NRT-code) | [i] | OOA Folding | |